https://github.com/drmsmith/microbiomeR
Raw File
Tip revision: a3682a24970d79e4f748952ecc49fcdb16adf48f authored by drmsmith on 02 July 2021, 10:57:27 UTC
update readme
Tip revision: a3682a2
microbiome_ecology.nb
(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 11.3' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[   1330390,      25405]
NotebookOptionsPosition[   1308842,      25035]
NotebookOutlinePosition[   1309254,      25053]
CellTagsIndexPosition[   1309211,      25050]
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{

Cell[CellGroupData[{
Cell["\<\
Microbiome-pathogen interactions drive epidemiological dynamics of antibiotic \
resistance: modelling insights for infection control\
\>", "Chapter",
 CellChangeTimes->{{3.8243565813200693`*^9, 
  3.824356592621334*^9}},ExpressionUUID->"324a43c0-5c96-4ecd-a20b-\
834649b7b9ed"],

Cell["\<\
David R. M. Smith (david.smith@pasteur.fr); Laura Temime, Lulla Opatowski \
\>", "Text",
 CellChangeTimes->{{3.82435660706853*^9, 
  3.824356656334831*^9}},ExpressionUUID->"844e51fa-7754-4ca3-8cc4-\
3bcbb6ebb1d3"],

Cell[CellGroupData[{

Cell["notes", "Section",
 CellChangeTimes->{{3.823751934883768*^9, 
  3.8237519350433187`*^9}},ExpressionUUID->"1ae08202-5f09-4017-855b-\
ec49471d68b5"],

Cell["\<\
- this notebook corresponds to the article of the same name
- models and their assumptions are described in the manuscript and \
supplementary file
- ODE solutions are limited to 0 \[LessEqual] S \[LessEqual] 1 for all state \
variables S
- notation varies slightly to manuscript: 
--- X denotes pathogen-colonized patients (C is protected)
--- N=1 in all models, drops from all equations
--- prime notation is not possible, instead parameter symbols are doubled \
(e.g. \[Alpha]\[CloseCurlyQuote] --> \[Alpha]\[Alpha])\
\>", "Text",
 CellChangeTimes->{{3.823751937326598*^9, 3.823751949646245*^9}, {
   3.823752392694274*^9, 3.823752401688961*^9}, {3.823752626326353*^9, 
   3.823752658676693*^9}, 3.823761399098097*^9, {3.82383925055764*^9, 
   3.82383928569131*^9}, {3.824356663643553*^9, 3.824356697010516*^9}, {
   3.82435676180017*^9, 3.824356806158688*^9}, {3.824356947854599*^9, 
   3.824357008131369*^9}, {3.82436286122049*^9, 3.824362861373212*^9}, {
   3.8332666013229513`*^9, 3.833266626937104*^9}, {3.8333843605395412`*^9, 
   3.833384410089047*^9}, {3.8333845497844887`*^9, 3.833384577700838*^9}, {
   3.8342095834378777`*^9, 
   3.834209590466236*^9}},ExpressionUUID->"cf03effe-57ee-4d95-8bf3-\
f0666b83351c"]
}, Open  ]],

Cell[CellGroupData[{

Cell["susceptible-colonized model", "Section",
 CellChangeTimes->{{3.823751561321514*^9, 3.82375158885557*^9}, {
  3.823755171584096*^9, 
  3.823755172421157*^9}},ExpressionUUID->"22ccded4-cbab-49b5-8643-\
7eaef49cc83f"],

Cell[BoxData[
 RowBox[{"Remove", "[", "\"\<Global`*\>\"", "]"}]], "Input",
 CellChangeTimes->{3.823859551174385*^9},
 CellLabel->"In[26]:=",ExpressionUUID->"9a974704-adb2-46c5-8cc5-fb73edc6e18c"],

Cell[CellGroupData[{

Cell["assumptions", "Subsection",
 CellChangeTimes->{{3.823752043800378*^9, 
  3.8237520448083344`*^9}},ExpressionUUID->"28166ae5-adc4-4c4b-ae82-\
67546e282a8f"],

Cell[CellGroupData[{

Cell["acquisition", "Subsubsection",
 CellChangeTimes->{{3.823752213230814*^9, 
  3.823752222968005*^9}},ExpressionUUID->"c2b1e8cd-7906-4bb9-8353-\
39ff7711b27b"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"\[Lambda]", "=", 
   RowBox[{"\[Beta]", " ", "X"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"\[Alpha]", "=", 
   RowBox[{"\[Alpha]\[Alpha]", 
    RowBox[{"(", 
     RowBox[{"1", "-", 
      RowBox[{"a", 
       RowBox[{"(", 
        RowBox[{"1", "-", 
         SubscriptBox["r", "R"]}], ")"}]}]}], ")"}]}]}], ";"}]}], "Input",
 CellChangeTimes->{{3.823752249173657*^9, 3.823752255585662*^9}, 
   3.823753151896769*^9, {3.823945194137246*^9, 3.823945194421851*^9}, {
   3.833384532043825*^9, 3.8333845323200197`*^9}},
 CellLabel->"In[54]:=",ExpressionUUID->"b59a05c8-fd8a-4753-ab19-afe489ba2c83"]
}, Open  ]],

Cell[CellGroupData[{

Cell["fitness costs of resistance", "Subsubsection",
 CellChangeTimes->{{3.8237533994942493`*^9, 
  3.823753407093606*^9}},ExpressionUUID->"a86e192f-24af-4693-9628-\
9cf6e0fd33b4"],

Cell[BoxData[
 RowBox[{
  RowBox[{"\[Gamma]", "=", 
   RowBox[{"\[Gamma]\[Gamma]", " ", 
    RowBox[{"(", 
     RowBox[{"1", "+", "c"}], ")"}]}]}], ";"}]], "Input",
 CellChangeTimes->{{3.823753409310162*^9, 3.82375344907831*^9}},
 CellLabel->"In[56]:=",ExpressionUUID->"878624ce-d66c-42d9-bca0-abef5253c87e"]
}, Open  ]],

Cell[CellGroupData[{

Cell["antibiotics", "Subsubsection",
 CellChangeTimes->{{3.823752213230814*^9, 3.823752222968005*^9}, {
  3.823752353061371*^9, 
  3.82375235387294*^9}},ExpressionUUID->"fd35e234-1717-4df1-b25e-\
3b63a6457c4f"],

Cell[BoxData[
 RowBox[{
  RowBox[{
   SubscriptBox["\[Sigma]", "X"], "=", 
   RowBox[{"a", 
    RowBox[{"(", 
     RowBox[{"1", "-", 
      SubscriptBox["r", "R"]}], ")"}], 
    SubscriptBox["\[Theta]", "X"]}]}], ";"}]], "Input",
 CellChangeTimes->{{3.823752359810463*^9, 3.823752383057992*^9}, 
   3.823753156115597*^9, {3.823755565580757*^9, 3.8237555664314203`*^9}, {
   3.833384534399117*^9, 3.8333845346719837`*^9}},
 CellLabel->"In[57]:=",ExpressionUUID->"4b39534b-1219-4f2c-b02f-8a52a5aa1d52"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["ODEs", "Subsection",
 CellChangeTimes->{{3.823752049900632*^9, 
  3.823752050279518*^9}},ExpressionUUID->"e392254f-1c03-4e2f-9705-\
58e5391d5a4a"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"dS", " ", "=", " ", 
   RowBox[{
    RowBox[{
     RowBox[{"(", 
      RowBox[{"1", "-", 
       RowBox[{
        SubscriptBox["f", "X"], " ", 
        SubscriptBox["f", "R"]}]}], ")"}], "\[Mu]"}], "-", 
    RowBox[{"S", 
     RowBox[{"(", 
      RowBox[{"\[Lambda]", "+", "\[Alpha]", "+", "\[Mu]"}], ")"}]}], "+", 
    RowBox[{"X", 
     RowBox[{"(", 
      RowBox[{"\[Gamma]", "+", 
       SubscriptBox["\[Sigma]", "X"]}], ")"}]}]}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"dX", " ", "=", "  ", 
   RowBox[{
    RowBox[{
     SubscriptBox["f", "X"], " ", 
     SubscriptBox["f", "R"], " ", "\[Mu]"}], "+", 
    RowBox[{"S", 
     RowBox[{"(", 
      RowBox[{"\[Lambda]", "+", "\[Alpha]"}], ")"}]}], "-", 
    RowBox[{"X", 
     RowBox[{"(", 
      RowBox[{"\[Gamma]", "+", 
       SubscriptBox["\[Sigma]", "X"], "+", "\[Mu]"}], ")"}]}]}]}], 
  ";"}]}], "Input",
 CellChangeTimes->{{3.823751801665696*^9, 3.823751915773488*^9}, {
  3.823751953795045*^9, 3.823752026415023*^9}, {3.823752127374278*^9, 
  3.823752130241724*^9}, {3.823752184899906*^9, 3.823752186731699*^9}, {
  3.8237531594522047`*^9, 3.82375317371377*^9}, {3.823755087893339*^9, 
  3.823755090119944*^9}, {3.823755569742168*^9, 3.823755570701911*^9}, {
  3.823846452390109*^9, 3.823846453061307*^9}, {3.833384426804706*^9, 
  3.833384432824802*^9}},
 CellLabel->"In[59]:=",ExpressionUUID->"d9242310-c911-4872-b266-b523b7dee73d"]
}, Open  ]],

Cell[CellGroupData[{

Cell["parameter values", "Subsection",
 CellChangeTimes->{{3.823752927643627*^9, 
  3.8237529290310783`*^9}},ExpressionUUID->"6ac41e2f-6fee-468e-9b2a-\
67b86df9c4f4"],

Cell[BoxData[
 RowBox[{"(*", 
  RowBox[{
   RowBox[{"excludes", " ", "a", " ", "and", " ", "r"}], ",", " ", 
   RowBox[{"as", " ", "we", " ", "evaluate", " ", "over", " ", "these"}]}], 
  "*)"}]], "Input",
 CellChangeTimes->{{3.8237546116895323`*^9, 
  3.823754619808728*^9}},ExpressionUUID->"91a6725f-1c1c-438a-9efc-\
26c4c320b42e"],

Cell[BoxData[
 RowBox[{
  RowBox[{"paramsSX", " ", "=", " ", 
   RowBox[{"{", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{"\[Beta]", "\[Rule]", "0.2"}], ",", 
     RowBox[{"\[Alpha]\[Alpha]", "\[Rule]", "0.01"}], ",", 
     RowBox[{"\[Gamma]\[Gamma]", "\[Rule]", "0.03"}], ",", 
     RowBox[{"c", "\[Rule]", "1"}], ",", "\[IndentingNewLine]", 
     RowBox[{"\[Mu]", "\[Rule]", "0.1"}], ",", 
     RowBox[{
      SubscriptBox["f", "X"], "\[Rule]", "0.1"}], ",", 
     RowBox[{
      SubscriptBox["f", "R"], "\[Rule]", "0.5"}], ",", 
     RowBox[{
      SubscriptBox["\[Theta]", "X"], "\[Rule]", "0.2"}]}], "}"}]}], 
  ";"}]], "Input",
 CellChangeTimes->{{3.82375293718108*^9, 3.823752937347878*^9}, {
  3.823752975854912*^9, 3.823753025584217*^9}, {3.8237531823464737`*^9, 
  3.82375318489364*^9}, {3.823753421802182*^9, 3.823753425230563*^9}, {
  3.8237544077061977`*^9, 3.823754408001676*^9}, {3.823754469754588*^9, 
  3.8237544713808203`*^9}, {3.8237545338059683`*^9, 3.823754540184305*^9}, {
  3.823754622744978*^9, 3.8237546230147867`*^9}, {3.823755703405382*^9, 
  3.8237557036636972`*^9}, {3.823756288859476*^9, 3.823756313497966*^9}, {
  3.82396885880997*^9, 3.8239688643392067`*^9}, {3.833384469028678*^9, 
  3.833384481162095*^9}},
 CellLabel->"In[58]:=",ExpressionUUID->"7681fc0a-c092-4482-8759-9b047c80d74f"]
}, Open  ]],

Cell[CellGroupData[{

Cell["prevalence", "Subsection",
 CellChangeTimes->{{3.823753143503159*^9, 
  3.82375314424407*^9}},ExpressionUUID->"d83287b8-fe36-4e0a-810d-\
f930422aad5a"],

Cell[CellGroupData[{

Cell["evaluated for a \[Element] {0,1}, r = 0.8", "Subsubsection",
 CellChangeTimes->{{3.823753271371581*^9, 3.823753313314786*^9}, {
  3.8237554380773153`*^9, 3.823755445358658*^9}, {3.8333843351132917`*^9, 
  3.833384335971237*^9}},ExpressionUUID->"6357990e-5723-4179-a962-\
58aefa7db28d"],

Cell[BoxData[
 RowBox[{
  RowBox[{"eqba", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"S", ",", "X"}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{"dS", "\[Equal]", "0"}], ",", 
               RowBox[{"dX", "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", "S", "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", "X", "\[LessEqual]", "1"}]}], 
              "}"}], "/.", "paramsSX"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "0.8"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{"S", ",", "X"}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}]], "Input",
 CellChangeTimes->{{3.8237532111677227`*^9, 3.823753220332934*^9}, {
  3.823754014648011*^9, 3.823754023749928*^9}, {3.823754055351145*^9, 
  3.823754055545034*^9}, {3.823754649269229*^9, 3.823754728489828*^9}, {
  3.823755034638773*^9, 3.8237550619151077`*^9}, {3.823755707276868*^9, 
  3.8237557074919157`*^9}, {3.82435683714682*^9, 3.824356869988434*^9}, {
  3.83338459662129*^9, 3.8333845969486847`*^9}},
 CellLabel->"In[61]:=",ExpressionUUID->"123b207e-8a8c-43d3-bb8c-552bf1477af3"],

Cell[BoxData[
 RowBox[{
  RowBox[{"prevalenceX", "=", 
   RowBox[{"eqba", "[", 
    RowBox[{"[", 
     RowBox[{"All", ",", 
      RowBox[{"{", 
       RowBox[{"1", ",", "3"}], "}"}]}], "]"}], "]"}]}], ";"}]], "Input",
 CellChangeTimes->{{3.823754934688197*^9, 3.823754962783456*^9}, {
  3.8237549934437647`*^9, 3.8237550181068087`*^9}, {3.8237551204557037`*^9, 
  3.82375513518036*^9}},
 CellLabel->"In[62]:=",ExpressionUUID->"9ac4c96a-4ca4-4254-99c6-cf5f3f199dfa"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListLinePlot", "[", 
  RowBox[{"prevalenceX", ",", " ", 
   RowBox[{"PlotLegends", "\[Rule]", 
    RowBox[{"{", "X", "}"}]}], ",", 
   RowBox[{"AxesLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<antibiotic exposure prevalence (a)\>\"", ",", " ", 
      "\"\<colonization prevalence\>\""}], "}"}]}], ",", 
   RowBox[{"PlotRange", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"0", ",", "0.4"}], "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.823755021925704*^9, 3.823755026235097*^9}, {
   3.823755138852312*^9, 3.8237551412308893`*^9}, {3.8237552542875767`*^9, 
   3.823755258538995*^9}, {3.823755288960106*^9, 3.823755305046205*^9}, {
   3.823755340056356*^9, 3.823755355579713*^9}, 3.8238464890527477`*^9},
 CellLabel->"In[63]:=",ExpressionUUID->"02d2cd1a-1442-4b03-b9f3-f2b7c4bc5d44"],

Cell[BoxData[
 TemplateBox[{GraphicsBox[{{}, {{{}, {}, {
        Hue[0.67, 0.6, 0.6], 
        Directive[
         PointSize[
          NCache[
           Rational[1, 72], 0.013888888888888888`]], 
         RGBColor[0.368417, 0.506779, 0.709798], 
         AbsoluteThickness[1.6]], 
        LineBox[CompressedData["
1:eJw1kgtQVHUUxhFFBQUVMAe2xCIIRQRkRrGAbwxUUhFBZnytmoq8FBAdwAGn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         "]]}}}, {}, {}, {}, {}}, {
    DisplayFunction -> Identity, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, AxesOrigin -> {0, 0}, 
     PlotRange -> {{0, 1.}, {0, 0.4}}, PlotRangeClipping -> True, 
     ImagePadding -> All, DisplayFunction -> Identity, AspectRatio -> 
     NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
     AxesLabel -> {
       FormBox["\"antibiotic exposure prevalence (a)\"", TraditionalForm], 
       FormBox["\"colonization prevalence\"", TraditionalForm]}, 
     AxesOrigin -> {0, 0}, DisplayFunction :> Identity, 
     Frame -> {{False, False}, {False, False}}, 
     FrameLabel -> {{None, None}, {None, None}}, 
     FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}}, 
     GridLines -> {None, None}, GridLinesStyle -> Directive[
       GrayLevel[0.5, 0.4]], 
     Method -> {"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& ), "CopiedValueFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& )}}, PlotRange -> {{0, 1.}, {0, 0.4}}, 
     PlotRangeClipping -> True, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, Ticks -> {Automatic, Automatic}}],FormBox[
    FormBox[
     TemplateBox[{"X"}, "LineLegend", DisplayFunction -> (FormBox[
        StyleBox[
         StyleBox[
          PaneBox[
           TagBox[
            GridBox[{{
               TagBox[
                GridBox[{{
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 4], 0.25]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 4], 0.25]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                 AutoDelete -> False, 
                 GridBoxDividers -> {
                  "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
                  GridBoxSpacings -> {
                  "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
             AutoDelete -> False, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
            "Grid"], Alignment -> Left, AppearanceElements -> None, 
           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
         FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
         False], TraditionalForm]& ), 
      InterpretationFunction :> (RowBox[{"LineLegend", "[", 
         RowBox[{
           RowBox[{"{", 
             RowBox[{"Directive", "[", 
               RowBox[{
                 RowBox[{"PointSize", "[", 
                   FractionBox["1", "72"], "]"}], ",", 
                 InterpretationBox[
                  ButtonBox[
                   TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                   BaseStyle -> {}, BaselinePosition -> Baseline, 
                   DefaultBaseStyle -> {}, ButtonFunction :> 
                   With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                   Automatic, Method -> "Preemptive"], 
                  RGBColor[0.368417, 0.506779, 0.709798], Editable -> False, 
                  Selectable -> False], ",", 
                 RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
             "}"}], ",", 
           RowBox[{"{", #, "}"}], ",", 
           RowBox[{"LegendMarkers", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{"{", 
                 RowBox[{"False", ",", "Automatic"}], "}"}], "}"}]}], ",", 
           RowBox[{"Joined", "\[Rule]", 
             RowBox[{"{", "True", "}"}]}], ",", 
           RowBox[{"LabelStyle", "\[Rule]", 
             RowBox[{"{", "}"}]}], ",", 
           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
      Editable -> True], TraditionalForm], TraditionalForm]},
  "Legended",
  DisplayFunction->(GridBox[{{
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"], 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, GridBoxItemSize -> Automatic, 
    BaselinePosition -> {1, 1}]& ),
  Editable->True,
  InterpretationFunction->(RowBox[{"Legended", "[", 
     RowBox[{#, ",", 
       RowBox[{"Placed", "[", 
         RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{
  3.8237550269948483`*^9, {3.82375513926575*^9, 3.823755141497836*^9}, 
   3.8237552590862703`*^9, {3.82375530109597*^9, 3.823755305586677*^9}, {
   3.823755348670589*^9, 3.8237553559439297`*^9}, 3.823755583259522*^9, 
   3.8237556737616*^9, 3.8237557130180063`*^9, {3.823756295653564*^9, 
   3.8237563221182013`*^9}, {3.8238464659774323`*^9, 3.823846490050812*^9}, 
   3.823954565701894*^9, 3.8239546579502974`*^9, 3.82435687668538*^9, 
   3.833384487244914*^9, 3.833384600424499*^9},
 CellLabel->"Out[63]=",ExpressionUUID->"5b0d38e5-00bd-4ca1-b987-2ac002af6ffb"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["evaluated for a \[Element] {0,1}, r = 1", "Subsubsection",
 CellChangeTimes->{{3.823753271371581*^9, 3.823753313314786*^9}, {
  3.8237554380773153`*^9, 3.823755455649292*^9}, {3.823755646518859*^9, 
  3.823755646644575*^9}, {3.8333843285083*^9, 
  3.833384331250552*^9}},ExpressionUUID->"25ac07d9-0c87-44d4-a26c-\
59b01594238c"],

Cell[BoxData[
 RowBox[{
  RowBox[{"eqba", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"S", ",", "X"}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{"dS", "\[Equal]", "0"}], ",", 
               RowBox[{"dX", "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", "S", "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", "X", "\[LessEqual]", "1"}]}], 
              "}"}], "/.", "paramsSX"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "1"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{"S", ",", "X"}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}]], "Input",
 CellChangeTimes->{{3.8237532111677227`*^9, 3.823753220332934*^9}, {
  3.823754014648011*^9, 3.823754023749928*^9}, {3.823754055351145*^9, 
  3.823754055545034*^9}, {3.823754649269229*^9, 3.823754728489828*^9}, {
  3.823755034638773*^9, 3.8237550619151077`*^9}, {3.823755457275982*^9, 
  3.823755458769732*^9}, {3.8237557155738077`*^9, 3.823755715847776*^9}, {
  3.824356917875086*^9, 3.824356936503162*^9}, {3.8333846053836937`*^9, 
  3.8333846059285707`*^9}},
 CellLabel->"In[64]:=",ExpressionUUID->"8b0c4b97-aa41-4d51-97dd-11cb5ac0aefb"],

Cell[BoxData[
 RowBox[{
  RowBox[{"prevalenceX", "=", 
   RowBox[{"eqba", "[", 
    RowBox[{"[", 
     RowBox[{"All", ",", 
      RowBox[{"{", 
       RowBox[{"1", ",", "3"}], "}"}]}], "]"}], "]"}]}], ";"}]], "Input",
 CellChangeTimes->{{3.823754934688197*^9, 3.823754962783456*^9}, {
  3.8237549934437647`*^9, 3.8237550181068087`*^9}, {3.8237551204557037`*^9, 
  3.82375513518036*^9}},
 CellLabel->"In[65]:=",ExpressionUUID->"48249b54-53f5-47b9-bc27-eba2a1ed5ac6"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListLinePlot", "[", 
  RowBox[{"prevalenceX", ",", " ", 
   RowBox[{"PlotLegends", "\[Rule]", 
    RowBox[{"{", "X", "}"}]}], ",", 
   RowBox[{"AxesLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<antibiotic exposure prevalence (a)\>\"", ",", " ", 
      "\"\<colonization prevalence\>\""}], "}"}]}], ",", 
   RowBox[{"PlotRange", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"0", ",", "0.4"}], "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.823755021925704*^9, 3.823755026235097*^9}, {
   3.823755138852312*^9, 3.8237551412308893`*^9}, {3.8237552542875767`*^9, 
   3.823755258538995*^9}, {3.823755288960106*^9, 3.823755305046205*^9}, {
   3.823755340056356*^9, 3.823755355579713*^9}, 3.823846503462077*^9},
 CellLabel->"In[66]:=",ExpressionUUID->"c6160340-389e-4eea-a231-65317752d754"],

Cell[BoxData[
 TemplateBox[{GraphicsBox[{{}, {{{}, {}, {
        Hue[0.67, 0.6, 0.6], 
        Directive[
         PointSize[
          NCache[
           Rational[1, 72], 0.013888888888888888`]], 
         RGBColor[0.368417, 0.506779, 0.709798], 
         AbsoluteThickness[1.6]], 
        LineBox[CompressedData["
1:eJxdkj1IQlEYhqXRtVqNtpqdy7FWnZ2CasxWW3O2oaWGllpahCCoIKKy6AeN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         "]]}}}, {}, {}, {}, {}}, {
    DisplayFunction -> Identity, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, AxesOrigin -> {0, 0}, 
     PlotRange -> {{0, 1.}, {0, 0.4}}, PlotRangeClipping -> True, 
     ImagePadding -> All, DisplayFunction -> Identity, AspectRatio -> 
     NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
     AxesLabel -> {
       FormBox["\"antibiotic exposure prevalence (a)\"", TraditionalForm], 
       FormBox["\"colonization prevalence\"", TraditionalForm]}, 
     AxesOrigin -> {0, 0}, DisplayFunction :> Identity, 
     Frame -> {{False, False}, {False, False}}, 
     FrameLabel -> {{None, None}, {None, None}}, 
     FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}}, 
     GridLines -> {None, None}, GridLinesStyle -> Directive[
       GrayLevel[0.5, 0.4]], 
     Method -> {"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& ), "CopiedValueFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& )}}, PlotRange -> {{0, 1.}, {0, 0.4}}, 
     PlotRangeClipping -> True, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, Ticks -> {Automatic, Automatic}}],FormBox[
    FormBox[
     TemplateBox[{"X"}, "LineLegend", DisplayFunction -> (FormBox[
        StyleBox[
         StyleBox[
          PaneBox[
           TagBox[
            GridBox[{{
               TagBox[
                GridBox[{{
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 4], 0.25]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 4], 0.25]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                 AutoDelete -> False, 
                 GridBoxDividers -> {
                  "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
                  GridBoxSpacings -> {
                  "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
             AutoDelete -> False, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
            "Grid"], Alignment -> Left, AppearanceElements -> None, 
           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
         FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
         False], TraditionalForm]& ), 
      InterpretationFunction :> (RowBox[{"LineLegend", "[", 
         RowBox[{
           RowBox[{"{", 
             RowBox[{"Directive", "[", 
               RowBox[{
                 RowBox[{"PointSize", "[", 
                   FractionBox["1", "72"], "]"}], ",", 
                 InterpretationBox[
                  ButtonBox[
                   TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                   BaseStyle -> {}, BaselinePosition -> Baseline, 
                   DefaultBaseStyle -> {}, ButtonFunction :> 
                   With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                   Automatic, Method -> "Preemptive"], 
                  RGBColor[0.368417, 0.506779, 0.709798], Editable -> False, 
                  Selectable -> False], ",", 
                 RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
             "}"}], ",", 
           RowBox[{"{", #, "}"}], ",", 
           RowBox[{"LegendMarkers", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{"{", 
                 RowBox[{"False", ",", "Automatic"}], "}"}], "}"}]}], ",", 
           RowBox[{"Joined", "\[Rule]", 
             RowBox[{"{", "True", "}"}]}], ",", 
           RowBox[{"LabelStyle", "\[Rule]", 
             RowBox[{"{", "}"}]}], ",", 
           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
      Editable -> True], TraditionalForm], TraditionalForm]},
  "Legended",
  DisplayFunction->(GridBox[{{
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"], 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, GridBoxItemSize -> Automatic, 
    BaselinePosition -> {1, 1}]& ),
  Editable->True,
  InterpretationFunction->(RowBox[{"Legended", "[", 
     RowBox[{#, ",", 
       RowBox[{"Placed", "[", 
         RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{
  3.8237550269948483`*^9, {3.82375513926575*^9, 3.823755141497836*^9}, 
   3.8237552590862703`*^9, {3.82375530109597*^9, 3.823755305586677*^9}, {
   3.823755348670589*^9, 3.8237553559439297`*^9}, 3.823755464036351*^9, 
   3.823755588513934*^9, 3.823755680400486*^9, 3.823755719872777*^9, 
   3.823846504060893*^9, 3.823954570161167*^9, 3.823954666741191*^9, 
   3.824356940527792*^9, 3.833384495787724*^9, 3.8333846104727783`*^9},
 CellLabel->"Out[66]=",ExpressionUUID->"13687c2c-7f65-4f76-a107-d4d3f9ba2bd5"]
}, Open  ]]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[Cell[BoxData[
 FormBox[
  SubscriptBox["R", "0"], TraditionalForm]],
 FormatType->
  "TraditionalForm",ExpressionUUID->"d47ec2d7-2304-42bf-bb9b-e543e4f2694e"]], \
"Subsection",
 CellChangeTimes->{{3.823755416413868*^9, 
  3.823755420381833*^9}},ExpressionUUID->"f035e6c1-8fa3-42d8-8d2a-\
0c44948567a7"],

Cell[BoxData[
 RowBox[{
  RowBox[{"R0", "=", 
   FractionBox[
    RowBox[{"\[Beta]", "+", "\[Alpha]"}], 
    RowBox[{"\[Gamma]", "+", 
     SubscriptBox["\[Sigma]", "X"], "+", "\[Mu]"}]]}], ";"}]], "Input",
 CellChangeTimes->{{3.823755424770399*^9, 3.823755426044648*^9}, {
  3.82375552685004*^9, 3.823755553451888*^9}, {3.823755593885764*^9, 
  3.8237556068025627`*^9}},
 CellLabel->"In[67]:=",ExpressionUUID->"500da93d-d008-478d-bc2c-b99114030a6c"],

Cell[CellGroupData[{

Cell["evaluate for a \[Element] {0,1}, r \[Element] {0,1}", "Subsubsection",
 CellChangeTimes->{{3.823753271371581*^9, 3.823753313314786*^9}, {
  3.8237554380773153`*^9, 3.823755445358658*^9}, {3.823755633171908*^9, 
  3.823755640739087*^9}},ExpressionUUID->"154ca786-dbc2-4f7b-b229-\
137ae2c43759"],

Cell[BoxData[
 RowBox[{
  RowBox[{"R0eval", "=", 
   RowBox[{"Flatten", "[", 
    RowBox[{
     RowBox[{"Table", "[", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{"a", ",", 
         SubscriptBox["r", "R"], ",", 
         RowBox[{"R0", "/.", "paramsSX"}]}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{
         SubscriptBox["r", "R"], ",", "0", ",", "1", ",", "0.01"}], "}"}]}], 
      "]"}], ",", "1"}], "]"}]}], ";"}]], "Input",
 CellChangeTimes->{{3.823755691006323*^9, 3.823755768930184*^9}, {
   3.823756024324383*^9, 3.823756027788159*^9}, {3.82375620759086*^9, 
   3.8237562093728313`*^9}, {3.823756242847722*^9, 3.8237562495985413`*^9}, 
   3.823756636240308*^9, {3.833384617121375*^9, 3.833384621911044*^9}},
 CellLabel->"In[69]:=",ExpressionUUID->"46bd897b-361b-4c34-ad96-0cdf42abfc9a"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListContourPlot", "[", 
  RowBox[{"R0eval", ",", " ", 
   RowBox[{"FrameLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<antibiotic exposure prevalence (a)\>\"", ",", " ", 
      "\"\<resistance level (\!\(\*SubscriptBox[\(r\), \(R\)]\))\>\""}], 
     "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.8237557717953453`*^9, 3.823755775563363*^9}, {
  3.823846516622891*^9, 3.8238465169823437`*^9}, {3.823846619180442*^9, 
  3.8238466316590347`*^9}, {3.833384518441637*^9, 3.8333845187577553`*^9}},
 CellLabel->"In[70]:=",ExpressionUUID->"8a786240-a284-4df8-b0fb-8e7809f4a377"],

Cell[BoxData[
 GraphicsBox[GraphicsComplexBox[CompressedData["
1:eJx0vT1sI1vXpSc4nHicjuFsHDlwbH+hnc7EX2TAduhxOk574nHAxA6UDBMl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   "], {{
     {RGBColor[0.148, 0.33, 0.54], EdgeForm[None], 
      GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNlMtOk1EUhU90ZGKIgNAWwVtLO+s/cqAPAHIpxcsTODDRgY4QVErL7QGM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         "]], PolygonBox[CompressedData["
1:eJwlkD1OQmEQRW8MjcYFEMU/nmjnVCa6CVDYgYXRRndgQHEB4CrUViVW6CbQ
wkAr2CkL8NxMcZKTN/O+uTNbJ5fNiwVJZShBM6RKTVqDFl6Fo23pGAp8vCe9
VqX1QvrC+3yr70gNuMMX4ZbaDJbwB3ii9gyP+Blc8/YNnOPDyNrKrvQWiX0V
3vEDeGH2AA7xD2hT68AnfhqZ1W/67f3IrP7H/95HZnMGZ/klc7fIjHP8KjLL
N7TxHkxruZN3a0TO9k18G/e41z2dyB296w8s46PI7M7orH/M2ChypmdvRvb6
pr6tb+hbumeC/wNPHUGa
         "]]}]}, 
     {RGBColor[0.31276605504587124`, 0.4136238532110091, 0.6352110091743122], 
      EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNm0ewnMdxgBeZhHRxkFVF4cXd9xbh7S7CQyYp25LOkgESBAEi50zKV5dL
EgMSAQIPOQOk7CqLVZYvlkkEEjnnRJYlWxcfHCgGEEQkAPfH/l4Jh66Znenp
6e7p6enp+bdp+pIxi7sWCoXD3QuFblF2ay4UdjUVCjsD2oqFwsn4fSKgYp22
hY2FwhMBvQK+DrwHAZuBlkJhU8DXAS+2FgoHAj5ozfp4f++3/kLAvFKhcC7g
fMDZgLkBcwKOxzwDijnvxIAPAw7a1mb7PPEZzxwfBkxozbHHAvoXc94PbJ8o
jZcCllQLhWvB+99FeTnKRQGXAhYEXGxM+S7attD2+QEXrF+w/y9qhUL3mP+7
taR9SPqrQ/5+AavQRVuh8O2nCoU/qxQK5fj9ZkBfy1XWF8oPfB0LekdLOb5/
wICA46WsQ/ctx/Vz7HFlRTdn1CM6nB0wK+A0tIqpk6MBhfpCYVtdofAoYHtd
1mnrGrAz6jsC3vlerG2fWOOAB/H7YcCWupwHOtCjjb7pMa5nwJ6o96jPdmhv
DXgyxv9D0PplQDfpM88j5wXngPaAXWxxLtp7OxYa46JvnzZzJObvW0xZusg3
PCPvGWU/p22gi1PabjXgpRh/MOBQa9YpJ1ketk77RPEuaRvYwEHbsbOXYy2/
FXy9UkkddpEH9AW/yPuh+NjednUMHrp9Qpwj0TfZuZGpn3LNdt2Q59hjtnAl
+LiKnQSsiv3WN+DNgOXRtyKgBbuwnf434vfrAf8bMLk5dTcloNSSY8D/77C5
ETHv/1RzLONWC28F9A84F/OdD5jXmDirbf+/GP9JwNKArsHnzqCzI2BK4B0N
mNqYcx513m7igHvBPQXdNUFrgPMdit+HAyZJ45h03lAO5qRtmu2zAk4HzLY8
Yx0Zlykn/EyGF9uL9r0hPfj/g22fCMtsb5M3eDwsnUnSmiyvU/wNv2+Jj34+
C1k/D1gZsCrgi4AbAX8edvPT8AnfqeQa12KegQHVllz3U7ZRr9o3qCXt+WRA
pSVxzmgn4J4N/Z4LmNucNtP/Mb/RT9+B/2kNWBnwu1jvvYH7n9WkM1D6Zfvx
T/izSfq0xe4F/CX1K9ohfJ1zrx0Wn3GDbacf2d9Ufvhva0kZ8GVr9HEbg489
obNN1bSJ+dob+Ccc098x4C+WF/hYpV5XW35p/TznhHr5XB5YC2hBEzp/wl6O
tbgXfnpOc+oRHQ4Q57j6rqrzw+5ZfMXu2NdPB4wOuNuUsrPPno29/fb3cq8/
a/n9gAmV9GkToywW81z7oDn7fynO7oA9AU879hlpHQi85mLi77EdnCfCp/wS
nx2wN3h6PuD91sQtio/fma2vnFOfvpj629KB3mz7aH9SmtCeKM8LK8nbroDu
4b921SWd7gElZWE+zkF+twT08mxYENBaTPvANpqivj/KxmLKtd+2rvi+5lyH
A7YhR6P4+1zP7q7RaPWFHro6rpvlXOu0d5HuLvE7x/Xok7K/r96eC+hXy9ji
2ShnObYQ8KP4fSHax0U5oz7PvROWMzz33lP30Fmg7PPtm+G5Nzb6xgT8W2u2
zbR9ZnPOx1yPmvI3dfDfk+Zs+QFvVn2eKYxfZDzGOTXTdmgiH2s1zzN0r+fo
23XJG+sDTk/1QDtt73imzdJuoAEeOvsP9ku03agk7hPi/3v87h3130a5EJ7s
w/+Xi3m+YTPYC/uGufbIxzj1D3/EHdhlT/l6W/tkXA/HQvOwdHsYe+yWd/S+
UNkWysN81wJc9vP0gGkBz8jHs3Wpo/nKOdUYDD/6tnsLnN/E2p8NHo9GOaU1
z++jAdOJOwNOCCdZW9umBRyzbabt812T832yD5yprelfiNlmlpLmCfGniwO9
HvKJbp7R/yD/wj6puwUBJyq5fz+upCzHlBcfdUc/dUzfRvtEffztpizBoX5c
OtCbot9DZujg5+41pY+cLq0F8tDJ2x71O9nzH/z58gjOraacm7ngc4p6/1f1
jL5XemYR3xxVl9/oSn2iV3wO/uaQZav1RfoybOBmNf3IjSiXxO+X69OOb4Zs
r0T5VSWBevdqnhVlz4vF0lmkv5unLc3Vl+I3sX3wlojTzf552h/4B73L4B+7
P9bfW/qMvyGfX1azfYl8zvAc5DxEl/ebUp/cv6bG72nNiTNdvKnigHtau/rG
vkJfp/ElrbmmR9UndO5Li/4z4rzj+dNLn79Tvz/LNTitT9lvfD7LdaFvhvzO
tDxlHf/2MGBGzHWRO1iU/1XNOIX177wffeFdB1/I3ZNY/m7oZkPA+mLaD7bT
ETA3bKU+cGdH2RHlrYDbAb+P35vKhcKnUQ4NvK0Bwyy3Wb8nTWgz5w3nhc5a
af1tjN8W5WtRjogxwwO2N2WdckdT8nda//wh99JSxprbxWe+r6RJ3NPckjgH
Sinv58q8w/v3yKbkuT1gS8DGYvJ6n7ueZ9pp43li+YOlpMGe+SzgTsD6gHXq
4o71z8RhT81Tb+jvrvjgnY7fg0Nvv1XeHfLzdcy9OWBTwNqmXAP032Q8jUyH
g49Dpdy3S2N8IWxhYy3xv3IM6znD3MJy4+9PA16sZlw5v5q6Qz/QXBfz3XHd
N7pe6GJLwAPuo8XMW4xSdxtaUp57rFlAY0BDS469L//LnXOF5WfWT6vbWcYS
1NH3NtdxmHJwJ7hp7oM1GqIe4Jc1/aExA7HDHe0L/uHpPry05Lq2S2OLukWe
DteM9RqtXMh3XJ1Nb06ddATcRh5pwAO+gH3MXX1wU/bRznqwLi2uUat3gi+9
H2D3O52r0/a2uFceyBvr/6ia97g/rWWuZ5PyfKk+uAOtZw0CBgbU/E19Y8Ag
++DzuLJsD3qF4KlLKff7DPf8d82xtEb5q4CfhC39U5SPAn9bwFbtEBusNGXs
/5bxP3e3tbZzrzwY0NKU99Gpnkkb5AfebqvPW9iTMiIrfDEXc35l/9pi5nW4
O7z8VMpYDVjXlP0d4mzyXvOP1dTvan3LNNcH+fcH/X2ltNHXtVVs9r65I3JI
61xn7OimtoeeWT/85ZFS2s9DdfKkMSGx4U11gm7QL/dv7unc42805bqxd5dq
u9tr6ft31vK+tVobob8oTlPLH/ldU8w50M0a5+L3YNd7k/HsKffULX0gvnC/
cjfp81fqBx+qb2TZ4D5mv3yoT8XnDXbtmGO1cqCTYvD9CXeHWtpVF+V9V/vB
jk4RK3O/bEx/8LU+4aXGtJVJ2gt12p5Ul9w74aGkvyXnyR540JI2WNXe3lJn
N91rZddomTpElzXthb2xXXvG1prU6zf+VFkaXYubnh1rtQH80Gh9w25902Vz
l9+OMW/E2N5R9gn7e6ahUKirZu6SvQ3OcPEZ98+VjHN/XckcEjmNclPesS+L
W7b9sLkg8hzkY8Z7j+Pehq+5YG7ngHfcF5sz1ptgDHRFepwtjHvB+91467S1
S2eIOj3lepHnqepXTjRmvqXN+nF/D9bnwQP5q8HWGXvqsfHse3JGv/New/1m
S+h3aEB7wE899zn/wT1rjok5mKu/c8MfvA0SB9yt0oEevLWJg/7b9a/9pdOp
wwPqakW0r8RnOwZbnaF808Qnrp7kXYg8YF/XZ5122CEvc+R5srjf5FBbMtbC
JmepE3TD+ddqPDHduY47fo65tbnWz1o/q47hF74/k/c35We6NNDBz2rp2/6+
lvkyeMaOemurT9bSPiZoN0fNrfVVX8O0W3R4QT0e1RbRyZCWzD1xJn0gHfTJ
GwPtQ1yLk+pzrryTazpv7hi8VmXo5P+E+G3uO/bfz5UFmfZpt+MCesUe+yhs
6alq+oct2tKOsK2PI45+N8qLgbcwYEHA0mLu8WUBfyAusf7zau7tV6t5brV6
jgHUD5v/Yg+RF74kTWgPUQfM/4l0oTne+Io4CxotrhnnPW8Q0BllnbYfVNP3
javmvRDbIuYmX4hfHmS50fpN/foabYh4Az95wjOdsx789cZnxGD4ROK/OcZZ
Zz0Tm4yjqu599hg2WnPPbnStmfdT9Yacn2uDz3nGctZz5o9QTmTc5FhovMa9
L9bl9ShXSAd6s9x3zA29z7WJV8z//0x8cMn1zm/O/BR5R+SrGb8x7gv3w0Bl
Rwecvavsu+C6YQ9f2P6ma152rffqI8e5vpu1K/Kq3FfJcZ5zP+KHzlni+zhv
21yX55uTFnTg+YLzrpPnzpxzTV47lIP2+crHmIm19G+La3n+wjMyTbCd/orz
Mv+r2nNHNfX4uTL+sJK5zx9Vkj/wyb+uUK/cwSvyAQ8XvDNyd6xIu8O9jT6I
uc+5FnPd+0Ns555L7MWb5RpjFuK0sebkyLWRHxxlrpNz/aF7eJb+r0tj6v6B
7e+X8g61t5R3DGI56j0bM4/Nm+FN4wHeuvhNrq6X/T30P5+6D8gPzrO9e2PO
v9W5Rpvv/OippL9AOj3Fh94j8RkHXw3yNrExY5nbDbmH13lG0Ebfwcb0H720
B2z/UUP6PcaAd8cYgliiWs07P3IR29I/SZz10sdnvGKMfC2gmz4XuWijjxiX
t5S7DTn+XkPWO99aqEOTM6erazA2bOu9kGkM98vGXBvWpd17CrFwRy3fjNbW
MrYbQkxazLj4nYbU22bb6d/TkHp827KX9UHeN7k7wvfuaNsVMDrgevj5UVFu
a0hdwcsgcZmL9q327WxI+RnbQzrQK8j79oaUHbmnSGegc+9xDHxdjTlHxu9r
9anLeeqzm+cybdu0AWxhtnpjDsaNcuw2+7mfdxOH8etdN/J8zHUlYERD2jBv
6vj3jepssLztlj/GkJfiXvVXlXzD+EGUD9XDFnVVeExeZL1vOdX6Ku9wvIl2
xO912FtApSF/Vy3XBtyS9lDprw+oOWateIwjB71KmkPi96aAzQ3JB/INb8h3
Yu5atWLqaofrNilsbXIp7/BDHNfuHDX5GWid+bkD9VeGfdXcV2eqqUvyfJfr
883+Le9MG2LMRmzNcrB15nmgXAOk2TkGv9VmWbG+ybEb5QdeoL3asci+Q3m3
S3ONY8k9cfciF98hzbXKO1h9kaMl74IuRkoHetyhyOFyj4LfrxsydnxgSQxF
DolcGG8YtD9Urs3i0zaulOfZ86UcRzs28R3fTPtXEg96D+0D575+6pF0h2kP
W7W1mfoIxs1w7Bh9yI/1IYwFb4E+sGdzyoW8yD1MetjvBvcm+Zyd+gP21Ujt
hTr65G0D38i9fZL2M804iDNosvq8q92t1/aGOU+nTbIWrEnVEtz78oXeN6vL
dsuh1re5ztCZar6fNWKvs25d9As7xOumL9mlj3jFXPml+uQJu+UdgNit83sJ
SnKG0CZPBP3zgXfB3PeZ+rTFs/Xpa/A55IjnmQM/J+4C8c/ZDn4PYxTWAvzz
4pAT4nsCvvOY5xj6pssDvDBvzX0w0P0ETWwZfH4j11DthfpFf//ImGRcJfV4
UR55XygZIxKX8EbAewP5Cuadrp0MV1fwcFo+AOr4ioXKC92K/uNUfdKBBrnz
Fc4B/apjT/muddE1KZhvJ+8+33MbXS3Rb+O/p/uO9NCYhXxF55sT9fuuJWt6
R5xpj707gQNuT+81vXxDWewc4E+XfvfONSnlnI+MQ6Y4H3ORy5ns+8M9+zrb
79o3yDU6q5yXfX/BHrob251UHzMtZ1lf6Bjwr2vD16Q11/ca3l5Pin/C+gzf
W65q8z2cB73Odi0ZO9u5Tls/bd8Z5wBnprKjg9Pin1KOxfI23tiJGKqvtkQc
39eSs6rdWGZowN+0ZnzI9ynEgB8/lXEgZ/IEz+W/9r7GvY180rBi5tA+Na4k
zt1qOzSHFxOP/NMY6TMP38WQK2MuvqnAL79QyvVHp8Q+jCGvNkI6263z3RM5
Pnga7lzb9On4du4pvDVtNFZYb6xBzNDL2Iy4q93YbLM+tqsxzk7PHH5zP+D+
NbaUeUZoQvsz254rZZ2SeceUEp97Ij76urZB//Pi3JMO/IwVf4z0oc0dYot6
RYcX3cv4hx2eb3x3gE1v8o7JHZ/7N99IkNdHP+iJ3GTB9znqs83P8t0D+RDG
0TbH9tuOw+9+5Do8rb+HD3zVef3hYOuUnOFz9JnQoZ02eIbmS/rwk/qjU/a3
i7Pe846zCd6a5K9ZHpFrlrLwxverap6h71bzN+3kc9+1/TfV9HUzbG/Rp+Lz
uqgP5CanyT4kh95iP/6wrSH5hN9l+mR4mKuMyLrc9mXOM9O5GMd4YsNn3Efs
p86YfpTnxQbPDPYM31/wPsS9c5j2frlP+L+AxX3y+zls/0413+0HlGOOgKvR
t0S8/uV8wz/mu2u/ctYX9Ula0BkgDrjX4vf1PpmbgCb0eO/e75vh+ICX+yQe
ONjiJfMI8HlJXqHxU3HYw+N8b7gib8yLnskh41snuH/xJ+yL990b5Bq5F/CN
wF7p0H7a995qOfHfc8wp3xB5S9wtbdZyYDnf9884hrGVco7ZK01001/9QHOs
dAc5Fhq1cpZnfIeuWUdPFXWFfq6qo2HqBz1Bf1XA6nLW+z72+y3nXlPO9eD3
Hr+14DuTfuL1t2+AdeZd69z71A/yfGFMTSz4RiXXYmmU68opf0c5v33d7De1
bdJcI70OabY91oasjF9fTh1vLOc7N/VB/r6m7COD5ke8AUTb9VrmQ3k34B3p
ZW3gqjZ2XNtt7/Rt5nrarZNTI39E7ob3HN7oiE3hY4PrQZz7Uilzfxvkp3O9
1lvvUHbkqupXeHet2b5OGQZJd1RdysH3BxVthvXFprBbvvUql/P7FL7RK0a9
VM7vcC/2ye9j+O6Eb31bor21nN+GF8VZJM6lPrk3+2oX1I/4m/X/qE9+73ch
yva6pH3JsdQ/cq9ddy7mOWxZtt5XPvk9pC7pQI8zAzl4g73g90H0Q+egfHNv
4NsJ7g58R0FOlbc14s0rxhfksTjLfyNQ50yf4VhokPef4p12l3aNXCeNh/CP
fKtzQb0xNzyg0/O2d/ZfFKckDvpEpqHqhzf8F/VZB6zju8g/3jD/Cf4Q90BT
+Y//FcAvDou24XXpO3p6FnxprpGc+5eWvJ9MkD5zLnJtLuv39jvvE36nxJph
x8+bc91ufp48/WXHMvfIWp7/I2rpZ6ra8gjbh9aSxjjpTHB+3glfUEb6sDfk
ai4nr+xD9uCIutx/+ONmZUcHjCd3PrGU39g0llMnlE3W0QvjryjjPuWc4Pyd
Y/m2rqGc8iAXa/OBvLAHPtY/4CeGisPaodvx8jlSPpkP/Qx33p3uTb6B3+c8
8LjDdvCxVb5n5BsK1of3YdaCbwv4xuChcdN28caLw5s18SeyUcePkqPgPN7q
HoDmwGrGjYOqedfG/+CHiI3ITZGjItf7orr5vd8/8x007TftGySdv6wmHvrj
PR+at6W7zrwi+cWCPMPD6yHzG67Nc/JJzIAuXrf9qrk08gTk98ifndPHklcn
3r1g2W4/7edso07bTt/o/6WW32oWvGM0mn8m5zvXuxI+Bb6a5YH3lUHOu9R2
+p82/kFfyI28t5SZOm03zWFz57hjfokc2HXvIuRo7tp+x7wMeSPyUbdtA3+T
cfRm136LPu2BddpvOYb8XVsl47RKJfM9m6TdIQ40H5mfeWgb48lrVxz7/Ure
g8Yay22WDvTuSQ8+X9BPYG97vIuQ794qr9gc8o42D4/9TNBOuMPxxkqM+rR2
x1hirN7+P2S3ev4mx/JU0iIPjp1/4V3ruvly3iE2yN9GY9K7/n7Fseh8gzqn
b5TfONP3E30/9zj2Oeu9rJzfYPE2ypv8KuOfN4W+nlXsn8OeEcP9zw7/ZfmW
MQOxA+faSvHBGSbeq+X0A/XlfFPhTOrjvF8598eel5yrr4n/qvMecm7uU109
Ez8W9xl56C0f25x3q/9T2urZQ8ywy3NtlLHDLmXYoV866jl4xPNisWv0hOfD
IuuLbF/ivIv1f9ul0+7czLvUGG9LlAdreQZ/WEt5jqjPEZ7XnNubHdsu78Ok
8546q9NvXDMvgT95TZ8ySvmIN+rUN9+gM7bOOnFa1fjqF+q4Xh/dIK1D8gm/
y8t53nOeE5fxJsvYFbYv14aWi1P0d0nfwj0R/0K8S26D/Oev/bbkSCXPtJf0
rfDB2QSfK7W/svHZCm0LmmekO9oYDHmL+i5seoIxLWdqq3wyfqD8I8c1Y2F0
hm5+oR4a5IH6IXmDR/BHqdv/B38xJBs=
         "]], PolygonBox[CompressedData["
1:eJwtlElsjlEUhm+oUm0salj8f4e/0y/o911Eg9JJu0dR2oWFhKQ0ndYiVS1r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         "]]}]}, 
     {RGBColor[0.519518348623853, 0.4862844036697247, 0.5136697247706423], 
      EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNnGeQnkdymPcCySOJvPnbXWzEoixid2XJJ5LHgLCLnAEC4N0Pl8tWlXTH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         "]], PolygonBox[CompressedData["
1:eJwtlmlsVkUUhgfSqkFApS10p6ULkX73XtEE1MhSFv0BbgTaWhI1+AMXKGtE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         "]]}]}, 
     {RGBColor[0.726270642201835, 0.5589449541284404, 0.3921284403669725], 
      EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNnXlY1leS7193Y3qiIoooAiKg8m6KC2piz52ll+yrcV9RFNekZ+7tO9Od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         "]], PolygonBox[CompressedData["
1:eJwtl31s1tUZhg9gAfmYuFJpS1tK4W3h/X1NpuKUQmAGIROV8aWVTCIkyJQC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         "]]}]}, 
     {RGBColor[0.9052752293577981, 0.6331880733944952, 0.3063532110091741], 
      EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNnXe43kXRsI/0lNNzcs5JbwZzKlWlplcICd2KKDZaEkjvja6ivDZEQUpI
75QQBH0/yisioNT0XiE0C9hQv7mZ+7ly/phr2+zs7Ozs7P5m99mn+9fGXjDm
iKKiokmti4qOjPDqrkVFxwRcFXBtcVFRq4DjAtq1KSqqClgdeJURroywIsIH
2xYVLWibeO/2Lip6J+CC44uKNjcXFb0d8d82Jw7lrQNWtU5a0CGPuseZv1La
JQGlAUsj/V7QuCjovR/h4sBdFNA28JdHWXngrGid7V14fLZPHB7OPz5pQo/2
jrOtBwIulh503xaXOlcHr3/qVVT0pQg/98mioicCngwoL432SoqKyiJcUZLp
itIsB+/SgO9Fve/2yvqlpYm7rCT5hMdhAb8OvM9L83OGpC+N9n8V8MTx2acK
+1WhnIn/IOh+P+CvAX16ZXu398p24I22kDMyXhjhuOKUU5uAExtD3h2Kik6O
cGlJ8gf+YmVZHPBan6Kiqa2Kip7pkzTGWhe5ItN1ARvqioruj3pvRDgieBru
mFH2mGNAvXHWhc4YaXWJOh2iP10jLI300mi7JMId0eb2gIFB59hIHxNwdcDa
SFcH/kMR3t82yxg78tu3yTLia0yPkJdV1quxLvSoC40lrVO30KsR4p7TOvls
Ja/wjY4hQ3RwWevEZxyJl7XJOCFjVSYOuG2tW+h7G8cCHUY2Fykj0ujqCTF+
v+9ZVNQcYfeQS8eg0RThp0L/Toy8hggPNad+bo9wa4zN7pDVtgg3B+yK+JY+
2Y/V9oU5usb0sc5d5PZddeZTvXK8ry9O+aPPy9XpDuXBQ8CjZdFWpPtHuC3C
IcHTW0F3aIQr2gV+QHlV9L0q48tMEyfv5z2Kiv4bUBR9a1VfVHRd0Dguwl9G
/feizXsjfFydv+T4nDN/lr+2gVscsLgk8243f1Gk25RmeeuAheh7SbZFO7/o
kTgLxYMu87zQzqW2tTR4LK1KnuGR+ncFnN0pdCTggYC7Yp58NsLvRvgJadPG
3ZF3Wqcs+2XAGQGnW++sgPsC7jEPPNoqqcr2iC9pkS6Th6oIV0fYLsKKgMqA
le2Sp58F/KdH5q1ql/ntjJO3QrlXGK+w7n+UPzSQ5ZKSlCfyaats0YPjtVmX
ans+d3zatcqAlSVpr34T8AXtWx/15+YYw7cDbilOewL9Em1jhXWp90Xrtou8
VSVJd3VJpqtKswz7RzuV4lB3qPMNm0k779jWxc3J75DmbJc2sWXo8nj1+Yvy
/L8B/ww9uy3K/1WXc2+9OnG7+vaXXmm3CvPyIu0YeMXaz+uKU5/QK/Su2Dza
PCP46B006iK8O9p4N/LuqUu+kAmyf6FnzvET1OW/aMdXaj+x7a3UafR5QcAD
AceVZryV+SvERybXyRt29q/Sg+7j9g/+F0iD+mO0b6znnYK/2pjLnSN8o0/a
3w0Rdgm8rgGPR70bAu9gwJsB60uyjPxuEf6qJPGeDfl+NeDyT2aafHCejLZ/
HfD549PeYjsHB3QKnMeifF1J0n0r4MaAy6L+0wFfCehYmnjgPBrwSECHSB8K
vJus83n1lHYWt842BtnOENtaZpy8Z6RNG/Rrvn27IGziuoAL26bulKo/+8NO
XRxz6N0Ir8JORfnVdalX6NSXPpm62z5gTUnqc5Xx/2c5eJSvLcl85ssh50y1
+ZRfLm/PCM8qz0H2i74gf+TWuTT5fUye15vH2Fwtn5PqUm7IDFmW2a8JxYkL
HeS7JuxaeedYHxtzPj8T+vl0wKiGkEv7oB/h5qjTN/C3RPhRr+SL8e6MTsjH
WVG+KdIbi7McvH/1yrrkn12SNoY2oP9S8Pdk5P0hwg1R/gZzKNL/tN5PArpI
n3YmBR8Lg5+xDVn/qZ5J717XkdURvhZwX9B4tS757SfPn2uW7wjbRP1FMaat
I5wsTWi3d61kzSx234ncJ7fJfSP7L+TZUZ1EZ84PeLRtjht9hu8yZTyxOHXs
TXV7qLqILft/PdNW0IfNygZ+P9mcZTXNSQtZQJvxRBZdi7PPT1n/dfv7mmO+
XrxvR38ei35d3ZD9pL/HRniv6xTr1c3Oo0POu6ecF6OCxsMBo9tmX+hHOX0I
nv4vym+L8At1qXdfjPCJkpzv2IPuAT1Kc1yfaJF30Ll2oDjtwRe0CY8oQ9pi
/zQxYFLA5MCrYMyx5ZGe4DfAuYG3OmBN24yfY5q2utvuAduaV5xjA33aGRIw
uG3uNRlX7EVhnMdLn74/ZP+Jn9ci/Yh8Pu8eDTv+Xl3a1Hfr0qazT8PG18Zc
GhF77O6NSfv6gA0BewOvZ+Dvi3B6m9S5aZaPl5f9UdYrcA7UZR/p60j2uvIz
0ry1xudip+zvQ+JQNizqHwp6wyNcFunlAUPbJu4B8Qt7VuQ+VDuJjj6pXWUf
8FBJ2ihsVU1AbcDD6v+j2k3s3irX8q9qu9CV70T/h4Su/bAx7SE69mUB20ge
9gnbDt17Am8Z+64Iv12X+nxlXfJQY7vQuEwaw+lnwIq2uR7c5FyrlSb4E9Uj
dHi4uCsDdoZN31wZ9qFenXOOD1FHkBnfREsCBrVNGhXSKVdPwe/aFOtvfB/3
asq6y5Rzm0gv6hJj2pT8F+R3SvRnftQ7tS55GebYTHQs0PWd0cbgqLNLnuF3
RMAqdZ74BPHR2yXq9iBpDZOH1eJTj/3omZ3SBrDvZP9ZXJVAfLF7YcrGuy8l
nBCwpWN8AwRMDtgeMDVgW8AUw6nGt5qeZh64PRqyjc4RTqw6/K0AzUkBmwN+
FHvTHwb8PWBylE1x78sedrJx8toZ/7v4f+uR/E2U5qagNTFgAu2LP0U6k6T1
j6jz4x7Z5lb5pl83hy70CLgp4MaA7gHdAj4dY/hKrI8vBzwTunJr5P02wnkR
dgnoHNApYK7x+QFdLTu1S9b7Y+ek213aN0r7hsqU8wT5hy/4+2fA0sb8xrg3
wiM7p83me6JSfuF7kvKk/7cErZ6V2Y9TumSbf+ic8tisrCvEn6QM/6Ec/kdZ
ItPfdo+5G1Af8UeaMr48wulRf0fAzoDnIq8hyht7ZEiaetc3ZvnUxvzueb1j
fvswLnwTne230caOqYsbIhwfcD06U5XfP4zb9ID2VZk3M2i9EuVzG5PWax3z
m6vetmmXNe2NjtlmgS55c607wW846r4qT/BGGp6QT4FHwo32dbq6vN008Z7q
M3p9pn3ZoN5tUtaTlTc63jHGY446crp8vi4ebfftlHoIbr9OCf3NI9zmvOoa
bf4q5ujj7TKPsgGu57T/hjShV6C1xTTtjbO/74csXgq92N2Y+te1hc7+qiLo
B/wy9OeMgNMD7umSaeLoNOXrKzJ9muX3GL/beuDf2yV1/ImKpHtU57Q96HH7
yJ8eUB2wOfK3BEwKmBCwMWCTIenxhuRNFI+Qekc2pa7/vTHbh6fXLZtonR1R
tjXCXeiAPIL784DPdMn5vaw+587qCPtFum/AgoBW2nBs+QLzHwi4P+DsgLMC
7jN9lnkPiNc/4MGAhYak+0n3QeO/6JI8fcbwF/KHnXiyImV3hrI8s0vaF2T/
WMBd8n6qbZ8pL/cZv9dy7A84N2sfemiXsA+n2ParndPGza5Mfe1QmXkFvmoj
Pcv8G7Rd6At1Pi2NOdadLe7sFnSg8VrnpFMTMFN72cm5MU/bSV6t5dA4zXqf
dVyJF8b5jc6ZN1OaM4Qa9WqMfXrVemONjzP+mnb5moCrA67rnDSvD9hg+Ib6
V8jboF6O17ZS76qAQ84p5tYu9W1vY86rLvbvJXGvDLjW9eQV+Xhdvl6Xj3GG
r8vDGHkfa50x0tjQmPSeb0x619qfmxxn9Oip2GeczvdoXc7/sdrA34fdbA77
eUKP9D0NDRiiP2+ofjx8Uee0Sx/T0c5f5jF+sWMjPC7gHzFn+kf53yMc3C59
W9B5KOC8gLXCyIA1AY8EjA54OGCYbS03TrjC9kbo4zrKtY818NFIny+ND5mr
Ef6pPmmNsk3aOFfej+mc+x54/5v41FvkfmdgwKAoHxiwWFjSKfMWm78o4LHA
uyjgwoD17dInQBr7u1Ac6g227gDzBupD7Ovat8g1nbV9QLvkAx6Q2yB9gkuV
/RDzC3lLxIFvZI+fkf6ti/QF7VI2i8UZqByR33Blu8L4SmVLnDV2rTIbKO+s
c7e6b2f/XlOVcq2uynWHvrEedqjKNhkLcB5W/qv0S652DFjToc++YJAyukef
6N2uB6eb115c6vxHn+e/e+QYnuXaPtD2B8jvTtfmavmkP7VVyRc87XD9pt6P
3Vv9JKCb6ynrKsC62iXCf0XZRwE/7ZFpxrtzVQJ60Kkqy+8U5/4W+5p75ZE1
eb06Qp2OygqZVSvz9rb1E3mqjv1E98jr3pB0yf+X7XykHGqVM/KGj3XSvtNy
5NXBvoPLPB/TMfdAC9XL/urjAvcamwJvs3vIrzTmnucbjdn3x9X3UxryW+DE
CE+KNl4K2/FiwIk9Mk38VHHA3ei+jn1JU5T/rnvuFefK95yq3K+w77suYHZV
8j1LgPeZVblvuc69y6vaLvrzZfmE39cspwy6yGO29ZHTDPfXm+zjZve/xOc7
9vR1nmFnebvOfdqNVTku6At9wWY+r+3Ehj4v0EfKbxAXuhvsI/SuDF6vifDa
CLfIA7zwndTO/XyV8anCNPOQ7wvKe648Ikfax34Xyl4wPUM9Yx/N3v5D9/cf
ute/o0fa9dXayjXa53PVV+zcOufSeZY9ou0d7TwfZdmj2h/KHtc2ojNHNuT8
atWQ9ga7QJsPqncL1EXiDwoLzRusPV1qnBB79LDt0/Yy8yhbJ88XOB/WyVcn
5+w65/B6+zdLfSvoWa268px6yljOMA85vqLeXauudrT+/Ba6M89xYXz6avfp
4wS/J/g2mC699n7rTDN+kzqGrtU3ZPrkhtQVdObyxtSrrrY5x/GHj3Z+M1VZ
H90D97i69Ge24qxVXxg+rI7GO+hPnK+fcnaboqI9+KgC6nsXFX0/4Ae9M3+W
Zb1i7by0rKiod33W7WL928Wv651+JfLx2XI+iU8J39KMNunz2tkmfdmcV+4M
eLs0vl0Dbg54xzh5Q8QZbF3q7ZK/fQFzAm61zrulGb/F9B3BR4P8v98nz3f/
FGFF8P0nzrQinI9fMuCG0uxDF31i+NsH6h/cEm1sDugb8joTH3fAxjaZT16/
tklnHv466b0pza2BM0W/Evhbje9RnrsF4jPx5QRP70e98vqUZb3yxK9D3/Ht
vNsnz33e65Ptw9vZEbZrTr9jh+bkEV7va5ty2yX9XbZHvIPtMrbXl+YZFedT
kwOmeObHORL3DOq9wzA+YELArJDRHvSlOO9JcHZ9a++kWStd0rd4/6PUetxN
qLAN6FPvNuve3DvvXhTq3GL66eYse7g5eWXMOReH3kRplso//HWwT+DA50x0
MKBS3x1+5Vnyjv7PCKjhHAafech9fHlR0bfqU/Y/UIfQrfdK8+zwtcB7vTjP
2tDtXer3reogOJ2K0yfbWTnttb31+o7wISEHztgnlaaMG5Qz4R0Bjb0SZ5Ly
anAsKJto3TLLy5VFpf2bEnBCzPm5IYMT61I/C7o5SV1ED+uDj7NjLvepz/k0
V/l+K/Tom55TdtU2dHOO9wn4Xu8sQ9/A3W9daPzeuvjIvxt4nwo43vB71h+u
X/qiCO+oy7Pcn9WlrlNOO/OkCW38ud3loUGe4R2a35XuPHEPBPRQn3r2Tn9w
d33Cn1TX0Ln9ztm5yob4x3nSwD87V3vAOO513uJX3WuIX/aaKHu5OM9Sfxd9
/kbA1w1/pxygd1Can7T93gGXRR9uC337Wn3yRVmvgO9Yfpuy623eN6SHfL9j
3ym/rS7Pcm6vy3nTszCfmvOuCHdGNpWm3DZHODX42O65w02Rfosz1dK0e9ha
bDLnwIOMY89u1KZN1aZta5M2Ehxwd2jbCzQPac/P1kZtss4U7eBf+uT9lGPq
sv0btZuHtP3Uvcn8t2x3m3wDO2wLW4y922R4tvHZrhPo8w2OP/rzPudrIZM/
R7gyoHvIaUWEg2IMFoZ8BtbnXZctAf3K8v4T96Be75P55HEPhhCcvmUJxJHt
/wWtD4PmC80p777KvGPQ3YB9qs8zM87Ovhlhl0hvjPzOtBt1vhi87WnOcbxV
fRgRZb1CT86rz3RP7WMHaVZHOChovcm6GuGRkR4b+UdE+MNeeVbVFDC9OM8V
ZmgjtgZsC3ixKe+0vB7hvqa84/J2hGNYj6Ld8fWJP9k63R0Xxof62wOmWgYO
563tA6oCpllGvF1xnmvd4lr9L+9jtA368wIurQia9Xl+zPnpeOlAA97RP84T
uV/AmQ7nppzJcHa8Ufy2dXnPq7gueeym3k6xr/DCucoQz1amS39HQCnyj74X
Nef9MNZP7ouNK807H8i0Wj1nXf1j8Poe/sv6lEk35fJjz645C7w1yvpFv26O
8G9Nuf9+K8Kx7ENCthMifDzSn4n8X0f4z6a0qR815Z2SDfarX/D006A3oDnl
zvzgnLW749BDufa0jP0N+5xuEX5HHuBlh/1lzLpo91gfOHu/zrWN8+05pXk3
YI42kjh69KNeec4JzmzLodNZWu2VKevp9dKE9gD5H9ac47bFsdveQkfmSoe2
Xrcu6yxnZjNL80xvQcjl8tibP9CUfN+gPvyoPv2ld9Yn7izxK9X1dvLzhjLt
Yr+pO039hIeblSHy3KI+w+eJ9pux3dOU308vN6U+91T26EZ79YP2O8gDurpJ
faUvM+zPRPV8k/nVlk1XH3cqyxnKc7Y0Z6ljJzgeHc2nvJv3Brk/OE1+qlzL
9hXn2e9M92nciWTPxN6JPeBf3fOw92RuzLTtk+pyXTw5wv89Pm3Ub45Pm8I+
5X965T6Y+7TcOW2nncdmQw+6H7CPDXlt6BrfAk2JM1Xe/uKa/+feSaevtL5v
PuW75Qe+fiC9Oyz7qzz/yb0A6+KpnrEOqEv+Gt07zVDO00vzng7n1VO1D1PV
k+nitBdnmvFp1iO+U16QD/Pih47F/xhHNgvq09/O2QJ7TvrAfnBNpIsjf3mE
a42TN0V+KuWJOHmTQ14/7hbtNyU/U+UFedTIwwLlxt3O7ynL25XHn0yzD51T
nHtR9pp13hXjDiB3Mtn/3+Z+/j33H++596jW5qEzX3D80YN90oT2deoRdGap
Y+ja/fLF2vxd6XHfeqln1kv8rrpfnPuMk/d9+bzd+4a3mx6rTeaeHPyPsw8z
bBM+37ct+jCwbd7F5Tz/5JDjdaGHn27KeTHHufEF76rRN/AHWGdXfd4T4L5A
P3W8v3pe2ULXp6nPU8xnj71IOtz7bSvP8Pq+44I83q7Lu3mH6hJvgPQ/VMfR
9QccX+TzjvjUe1Da4K+ryPMUzoaGe0eAPfk27wm/FeHSqPNK9HVJXd7v4A4O
84d7aSMDzg04J2CE9zn+6hwD9wPvm3NHs9K5wr2C86zLHZHzDAt3RkZ65+2A
d1r+Wpd07vB7hm8y7kBwp2JxXe6lH6zLNmiLe/GrpQFvZ3vHjLtm0PjQOce9
Ge7ycI/mHO/hgV8ufe5E/EV60OVeyOiAUfL8kHFwLvU+/j+19//olTzB26K6
vFcy2rsl3MugD8gDfj6Qp5XeM6GsUXvA98D53mPkHhnt/MW7p+dLk7IpdblX
neq9l4fljTFgLLif+2dD0tyzvCTg4pK8e8IdP+5t/cr8x+Wz0vH6bUPQrAl+
GnK9Zm3hvhBrUan7Dehf4j3pi7xzuF7dWKV8uVP6oHfs+pomzt2k9tLknmx/
8bjv87deeXdyQEmWcQeZb+rTSnLN544631TcUz+iMfS3NuZ4Y/4G4BrLsbN/
d1zg7cKSw3dJiV9g+kLz/uA9w+11eR/24zvmvfNbqsn98TXNee+c33xgI7jX
i116wfttL9ZlW+uVM3dDl2q7/qQ9u9h7wiXWZSyWOh7EGRP08FH5gs/z1QXi
8PK8343glot/ieNNO+sdT3j4q/rGPHpQOSN/6j/XM/UOGXAP+QLHjjnB3a9B
JbnHGFiSewLs3wjj54jDXUz2S5wdsmc6syT32bPq8pv6lrrEHyFtxhR67Om4
8zjSubXT9gZrV2hreEniHBSvwrMPzkDgkXx4KHY/36Eu8cinnL38ANtiL7/b
9fin3h39SP24zHnMWoU9xcY/U5d9e5q7z8XpB8Iv+hPn+z+t+2XvmUHvp+7p
yfuH+sedwFrrblBeyGidPlb8QP+pTx84vvDWdfkblTZ1iXeW8gQPHwN3aL8i
v7T7gPbufmk+Kl3incQfat+RwaN1qRfr6lLmO5Q7suLbDP3gzvFo9Y74IdPo
CjqDn+m3hqRZa5/tmWvvNmkM0B5R9y3HmnF+y3CU8QvUPe7rcz8XXWQOEX/X
9PnqPjjDGvKMZmBD3kHuY9ujbQu6w8UBd5p6iD6C/yn3CPBIf5kL/1uXtuU3
dbn3GlaSe5XfmP/rutRZZLXd/RnyRK7gDhd/uHq7V5xCOTI8X/7xCwzwNzJ1
+vP+r2fCs8pyfV3a5OciHNecdyUnNafMC/6/x8QB9/To59ucJzRk+W+l188+
8o1yhN/7n6jPsemvbcUmP6Bd5vc6+Ae4G4rvlH0/fgfuuHKnFX/cTr9d8K3c
2Zy+z7si3B14e/zu2K4fhj0K99p76bciTsh9zt6GpLmf+qb+r6c+ebj8PPMp
72V9fqeBr4w7r+Bv0L/Dvdi35B1++f3Yq8W5bvTWBwbtvX4Dwetd8n9vc36j
7vM7Fv8n9yzxSZG333x8ouzttuqrAof7lWubcw/2WHOW9xdnszib5G+j+MgF
+YCHzw3fz0S/93aVpixn+p1Hmnnc0T3oduuz95wp7iz7M9v4RuWCfx+ZjHLs
euorQob4tJ7094rslVjXsTMbHHf26Pgv8WdyR5RzAfbh3F09sznvlfNbFmzb
LO3jRutCY6h1OUvgbil+1xHuN4mz58T3Ntz9J+M1xjE7YB3G+FXzXzF/v2UT
1E3k97Ll1xqOMb5LfYVvfMb8XgJ/8NH1ub8+KsJL6vLu96Xaeb6V+Gai7ZHq
2J/1Q+KP/Fxd3mn+fF3Kkd8hIdda6yGLJ5UvPub+jjX68Haf/C3OO30Sh3Lq
wydy3W041PjT8vuMd+4LPnLCp70nPVYdxwfSU3rQnaT+fXwG5RrBPMePCW93
q/N71fu/uUdmX4rNwnbxG7+VrsfYtuV1OR7L2N+GrTkv9odPNiQe+Pw+lG+F
D/zeXmVdaHze33V9IP0V0uR3ZYPcE7AnxMfCvnCJ+ZQvlfYQ9wdLjS+z3SHS
WylNaHCnmW8PaK6W7jD7BO416gh7SNZoxr3W+EOmv++5wx2uxfe5Hp/unoe9
6H2uveT/yD0B+4PTxAOHfQDy/ZL32dkfkLfI/tH3v+sbwC/wQMj0zeroX0Py
AT/sv+93HGnrh44XdD9wz8LepVp89tUfuo8GB5u/yLb+5t4EGnO0LXzvT3A+
YYs4T8JfjT/7WX9rxBzCVk0Sh7PGna4FW8zfbN1J1t9W8J2wLhgnb472aq/2
DT74zv5xc9qkW5rT1mHnoL/VetDBL49//oPm5IkzIXicLL/g8LsC8jmjm9+c
31ETmrOfHbVXA/3Wpx/o5octvs2+4G8RB6uH6CNy/ry/S+FbaZX2bLDl6GU7
dY+yjdp+bP7GPnlOsqlPnh1yhnhFffpokMsObT02f6fwsZ+vNPkcpBymiUs+
/fs/f0cxTdkWaO0U52zvnXLfdKN33rlz8zPvhHK385Gy/P3u+QGvdg17EjA2
4OKK9O1fVJHpMV2znLMrftta+L1u4SxrdFnSgg513ou6F0b4VoSjIjwU4UNR
NirgvBZnJA8GDApYHLAkYBFnLO6TFhtfJP5C8y+pSN84PI6M9FppLhQXnCL5
+oTnYZ8wfWX04dsBL3ZN/uDz3YA/ds23DP7QNfmn75RdZd7VvnHwkulrA15R
Li+aD+0rlAny6dsUbUbeKU0puzHWGaecXw9YF7xe4Bg8ahwZnh88vB3tj65I
II4ML4j4O+VZzlkIZyK31Se9cY4d/XpX3EHKcLEyfFA5NdXn2VNjhN+KOi8o
l5WRNzxgRVnm/96yZZEeErBUID44YGhZli23DnWHmb/c+MOOO+P/ou1Ac6h0
qH9E91iXusU4Rfi1gK/6G4N7umX+EaZ/a/k45YefrtA2bY1SXsjqwrKU72Nl
OT5XOUbozLkBawJWGz+nLO/0cE/rG8LXux/O+6Z5z0f9b3bNceUu1be65x0r
8p5XXt+0zu+t93vx1iqD82wL+twnGqTuI8+R8rXW8Fx5HFGWY7PK+PAW6dXy
v8SxgQ58fEteR4gHzsXOHfT7GvUa3R/tODGHZ0ZZbUBNQHXADOOUdfD3/vfG
mJwR8MuAkvK0aaUB3QOejPInAn4eZZ8J+HTAxMgv4zwr4K5uWUZ+z0jfUp7n
l8R/HfV6RPirCB8P6BrxbtKFJvndjN9inZsDbpUGeT3M6+nZOWfoV9VnPrxB
6zF1o1N58gg/vwg4037Rv9O7pf7Rx/Ly7MOk8iy7T1z6cmrAzwLaRdnUgKqA
S/DbY6Ow8xG2N/+ngXdnwMn2/1RpnG47tH1h1GmL3axPeZUp2/HKr1Se4fez
3XJ8ZjpGF1kXGndbDt5pxu8W7jHvF8458h5THp0DblKOyGpewPyALpaBMzfg
hvIcn/nmzxPn43PoCD9Xn/1Dv07pluPW1XpPOs6/djzJu7E8besp1nlZO3tN
18Ppa8x7WVv6X988wO6+o83D9pEm/2s903aer90crS1C1/9tOXi8Y7FOGzxf
PunLHPvbUT28UZncrHxuEg9dXa9+FnQWeSIX8m8Ut7uy6mJ+V+sWZDtXOTLP
ZtvulbF+nBAy+VKEs5ybjPeJ3fLc5yfdMk54UresC84s6cyS1o/Fg9Zc+zXH
sjm2NV1dRWexuUdqg9GTou6pK4s7hM0KGBiwyHBAwELD/h3yN9OLAgYEPBRw
XsDagKFRNixgT23gtU88cBZEXr+AvgEPSoP0koDBtjckYFmHpLHccJn0CnnA
CvMIhxtf1z5/q/5owFJpDTZc2oLO3trk7ZHAGx3wsHXOb595ywKGQCNgOf0x
b0nAoIDFlg02DxkMtI/Qhh981isiPUwaKwOGt8+8B5TB2R2S1kBpUHeY/YG/
3bXZ54G2Sdu7alv0ST4Hm08edejPKMdkqHmUPVqRv83hjOh+2z8r4D7DMztk
fiFvVtSbKR+7ldksw9nGZ5uG9xm1yUehzkzTOy2bbrjT/K0BUwImB2wOmBQw
MWBjwISA8QFbzN9sPnkbhOsD3rCMepuECeJuMn+C+OOts9U2oY2+jgxY0z7T
k21vh/xOq83xOlvZIPtCnxY4jpRfEd9y/YLG1yL8SkDfiH++IfUcHQe3d2PY
/gibIrxcHHC3Ba2pyqJJnA6NOS+YE8zF7fIC3nL1Cr2kfKf8LjMPnVjo/HpQ
npc4Bxa1mMeLW8xv+n9uwOr2+Zv1feox6XMCVrXP9ZN17L+sM/Vp18+szzT5
/wm4qCn3SMO0Zy+4X/qZ5eBh/1kbWQO4B8B9gBFNadv+1S3Xz3+73t4pkPdR
wN6wWcNDf/cZjjBO/p6AYRW5brN+H909gfhR3ZPev+XjI+PQ3lKed2O2Sgca
0D7JNfwl9/7sa8mbGn3exF7BvmMzkQ00+ktnBufF2NoIr3BPyz5wmnWhgd39
pes05Ve47z1ZGdHmFdb7urhH2R/keoK2njhhgb8XTX+k3JDpZ+pzPT6jPunQ
9lHeoeEuzZ0Rnu/YMYb06RfumZAHsh0a4ZCKDHeX5977ghb7b9a6i/g2i/Jt
5SkL8i42f1Ckd0b+joDtAQMrMj4v2js22rulKcfrmO45hrPMp/xx6UCPutCn
HfRyhPa1h7+X5Pdu/CbhrQjfDBheE+NaHf2oybrUo+0L5RveSA+Sn/7yv9U+
03f6e6Y6PwS/ovzAF9+/b7In8luYkG8U7m9xj+uI5qKiA5F/TuSdq87uL0+9
fcPvG75zdpWnfGmLOLIaXJFtPe6+Y2RFtnXQdoiT9yv349zLv0Rc4oOVOX3b
JT3aeMHf7ny7e/IGX9Akvr8FryPNL2pMm8B57MnuQX4qnOS+5FvSQ7eWRb0y
7rdEWB7hioqMrwyoiHRlZeIsDSitzDpH+A1FvXLrVliXNPs71rALBNYxvoP5
bW2brvkb3dZdD//WdqFpytpa/jFejMvL0c7KptQBxp+73ff7u1neOkSv+Q0B
3+kllcnnkorku13AKvtSafyorvlbW37zzB1w6kKDPMqOtpyQNo7smvkFfHDh
5Zf+jpryxRV5L4h2W3XNvtCvbzt3kdkx0oPut5Qh36P8fvgTkXdE14wTQhee
VyhX2r3Qvh/l2F3ZPceD/pY4RqQZk2O0p1cFXN095yZ5fwj4o3n8voj7k1/q
mfvIb8rTVdaFPr8dx7/Dd+on5I/fPFfx2+uKlC/+rOO65u+k+d34pdbpE2P2
38hriHBtRc4BdJTfzn2lZ/5WjpCzwMt7Zr/5Rkae3CvmHjHfBqwBX9PmXt6i
3rfFpQ44lGPjH7KttY5JieNCf16yf0fZP/r5YOG343zPKB90jm8Rzu/4djlW
mVEOb3y3vK3OoT/E/2j51S3kXpD5VbbdSjkhrxflgbFcr4wvks8Xxf+Evg38
BujPsV1T97/muSL8IX/yofmYNJhr5BV++36kOoWMGfPCb8t+GfZxUeDeU5+/
D2e8u/g773XuQdvoy2JeFnXN3+Ezrg9X5G+/H6lI/wf+Y3w+tf6OnHx0hTr0
43v1aa+/W59t0Gd+Q75DX+lAfSW79JkOMT5YHwv+kv36VPHRgINvcbv+6EHW
3ykO9Mjr7psG/AaeMzr8XJzRVTWl77WmKfne69nd0fqmkDf6hx7iI7qjKdfn
G5pS97G72JOr/Q5G3swl3oP6cs/MO878suaUO3eW9+lrR2arpDPCfcxK4529
F8Y47BMXGTAe2NUOypg4cubb+as9Uy9WytcIdeAY/UqMF3OD39sXOVfYq1zn
2DLGu/V9D1He/NYCmZ9rnLyx2mlsHD7Uscbhc4RjxHwb7DrNes06vsg4Ifby
YXmp1YYN1m4PtHyQegn+z+pT3+kf/WS9YwzWVByeb8yz8xwvfpsAT63k8aB9
wJ+32Hagjy4MUx+GuMZhR3mP4CFtyHH6OFpJ54C0asQB93L54ne/bZQJ8lzm
WvrxPky50ia4//Z3wkPs+1LX+2XiU2+Y8TG2Dx/DXRdWqjPDTMMb/aPvz3kv
Cd/3CnGgR/l54hzXwn+DPw2/Fj61Z7XH2OVvui4xf8/Qx8Y3APCGefj48OXg
8yNNPv6z1w3fcL+0Wz8Jvhp8QNTjPj3+z5kRfrEp6V/WlHVP0w+HXwnfHD42
zgDwH+JTelk/1Kn67cB5WdxX9EnNcG9G+6fJE775z+pvI44ftVbfTGV5+nEr
yhOI48vGl4ePCn8xPljSxNeaLsTxEeOvwb+L/3G1tB+WBj7Hgp+7vfEq+3Ob
Mtyh32eadOAJWuXyBD/42MtbxPHZl4m/0jqkyS+1fpX8LBeX+qXi4KdGZsi4
cO70qnL6rHmUTVZGFdKcUp4+VnxXfFvgs3pEfx795g40fq5xTfkN+TPHap77
1/nux29wn3yj6bekTVu0eYrff9Sv1ieGjKoNGec7/U5lzztV+VXJZ6X0rm3K
75Xrm9J3PNm+IItJxtc6NtXydIN8wvPc8sPfA8TnmJ5rHr67vebvNY/4IfX+
JnHwAe5x3tzifHjX8X9HOdygLHaLP9N+7jL+tjQPif+W9N8y7yZlfLAF//vN
m237hW/xWbYzQ3kyZzi/4CxhqWGpcfI5v8KfXuMa2rYpbTE2mb3hKO37aPd7
l/XMPdtTro2skWvE5W2hNdpa9ofs6650z/0NbQ97iCfcW7LH5DuA396yH37W
vRA2ld+T8F15d33uab/hvva/vh90l3tU9qfsddr79gxtXyxNaMMj722xntP2
L6zPPvQ/+iO+7t4QW3u0PLNv4LfWfM+dUJ97RfYQ7BePcr9K/0a5R2X9uEyZ
IJtR5iG7I9z3sb99WvldJt7Txs91/4Dcv2L+M+avUZ5f1Vfxb/nG10DelX7r
wNdHvl3x8f66W/oZCngfmf66e4Yr/Hb4kjJaoxyRIXMIXwp+GvQDPeH8o61x
zoM/9seU59lJ//o8Az2rPutOtP5m4+AOEAfcb/vdyTcxbWx1DjPftzvntznX
tzqnt7TA2SbeVnEK+VNalO2Qzk7nwg7nAv1hHrTz26ewd2NOsdf6hv549lb8
lutiv+8Zp3/6dtvX1UlwGvw+6taU+7jz3ctR933rf9W1GB1f796efeE9ro2s
YY9Yd7Rl7P3XCXx7P6o+PSLOj5ryO+WupuSJMfyyenyF3xRfVr8oZ57wbUL7
6PH5fvts18eJT3SQ/nX822/ou70uoH11+m3xWfK+aadId67OkDOAjhF2qE5f
fm11pvHvk1ddnX5x6pdXpy+1rDoB/2lphDXV6UN/yPqPeEbQQTqPyFdJdfrg
S627VFrLPS+gHLzi6vTfF5tuV51+VXxXFdXpu+JcoKo6+7TaPtG3ddJfKr22
0uK8oNK60EAuxQFtA8YZtgkYa9g64K2G2O9FuJ07//qT8XG/05B+/L80pA+6
Uj/49dK8zjFpp48aua3wXAMaVZbPbMhxuLEh5YbMkGWV/aXfFdaFBv74Etup
cVwYH/BW2b/2yqTKcVznWU21OkB5pfjIYlyLfu+3v/Sb/i+siTlfk/0pyGm6
OgGdaYa0RfniwF1UkzwujXBJTcqDkLIyfPERLgsorc0QPNqnHu1Nk95Ugb5N
Cbi1IcfyloYE4vMjnFCd4z0+YLLymiQgs4nWr7R8orpLvekt+jHDfpHHGUiZ
5yDIAxksqMnxXFWT4z27+vC8QTfWRv6amqRTIy3yqqPsoZocc8pXB8xtMf8q
pblS+pSTnmM5bdRIA1ozq1NXaGOW7ZNeYxvt1a/V0oM+tCvkkXLobAzZPRDp
5yP8fsD8oHFHQwLxnzZkHequCCivzZDxQy6lng+h9xWeAQHlniGtjfobg86i
hnyX6WTfPBoa9XdH/pCafEPzBN8GOifS+yN/RE3Cvur0Q/O2ZpPv7xyoTrxz
zf+RdQfip46yARH2DdgS8c0BZ9dkuKk6291TnW3j20a+jOEC6yCLE6TJe1dD
5HOXfvA90iirPay/4FA+uCZhZ8QHOWf6qTOkd1Qnj+RtrU7+dqhr6N4S8Zgj
/QO2VSde35rD/aBsoPOL351/xv9d2CGN7erASOWz2vAc+0WfTvR9rBNND7At
2vyJ73KdpDx3SHOl48h49pf/fvK7036c1IL2YGWyU7wt9mOAY7TNuYptvr46
x3xedc6JPY4Jej2l9rD+TlLHytW3StPT1eWCbS7ofrl2pkw7WyWtUu1SifUL
en2wOmU10jlWOHftUHv4zHaCNqGg96UtbHGJdr/aejXOgXLr1Jo3U6gRb5Zt
1Jo/y/g+5YGOcqeYu6/w1ugbVMwFZDxTu7VI+WI/mSPzlSkhafq3UN1CN59r
yndgn2jKc1Bkxz7id+ZTvttxoI1G22Qe3uddXO7k8m7aKb61hvwOtmhvpHzf
0eK92xHOcfp3svpG3WGeN+1xfh9QL4ZrB/aKf6ftbdWWb5HHWvmco71Eh3jP
b0dlvuk30Ph2fo9amWW8EXic7z4W3n881rcpee9wa+BtEX+HdYhTb1eE2yrz
/UbeIyS+tUWa9rZ7psZ52kjfAjtYmW+F8RbXocp8j2uwbxZCk7aP8b1L4Gjf
vaR8d+XhdgdIf6j5Q3xH7O3KpM2bXu9W5rtev+O+VMSfq893tehzK9+gXNDp
8JuUhIW3EQl5O/AC6bxTmfQJaWOJ7zwWd077i15gj0mXdM7yUZ4nIoOjfU+S
d/74TwjeOvugPt96bBNlbTtnuMi3zBb6rllreYRf0vSLtyPgibbgoa312ppu
LS51Wkt3oX0p9IP31PZX5vtqF0kT2nw/8S08rTLfD+UN2Q2+JcrbqaQ3+p4p
b8W2F5c3eSdX5hnRpMos22D9ieaVeyY0sUWccyLG5ue+OXuXb9CeZTvT5Geq
bczwO/kzfgfzPTxVnHaeEU5pEa+QrynSaCcvFfJQ2aJ8pLqKjvb1nV3eF+ZN
1n6+wzvM9y/3Bs6eykwTJ29fZcb/6BzindffNOb7o081Jj76Sh3iu00zHw5U
5piMkA70aJO2t0iL+cBbsLxNXHgzmDLeLO6r7Li/jR/kb43J7z8b833Xa3yz
FjzwqVum7BmPTeZR9nB9nlU9VJ/tFN5UPtf5C6/75Zf4PvWIPPS98A468/tm
07x7W+rcmGt93rZ9U9wbpDvf/IPmzXfu8f7VLc69W6T7u8Z80/mlxnxnd7z0
r3FuH+s8H+M8GGs4xvnGO7nMoesNrxP/WnGu1P4cpeyPMX1tC/txte0cI83C
+7v0lbenyzrne9Jlpie7D2ePzm+p2dOyFm5ryHVwT0Puz8vdo9e4HoLLHr6d
9fkuqDI92z0w68AW6UCvtPPhN7DnupdmfSh238H+o9L3I3k7srwFv4X3ssnr
7FrMeso7+LxBubUqvy8q5JUzLfxZnN2VuL/hm2SC/Sh1fapxvR7Xwua1aTE+
s5wXzA/iM1ukmVuFN6L3GCdvjvE31ZmD6tdcdfOdFrrztrpzSF290Xr7pAO9
p5yzDzemPi31TUlkw9uRyJX/vEE2jzWm3s6zzdGuQYW1rdAONErUi/6urayx
S6UH3bHqD/I45Lyh7i7lMEM7tU1bxvo3rYVtJL7DOGFh3Z4mLu8NYed31Of6
cauyKWkxD+Yoi7nKcb7zcps0psrDVvN2yt8M291pfLc87xJ/cuXh/QTxSdqd
zca3mk/5c67Xz9b7PxvisG+e4nfBTvWI74ddvtW6syrf2mwd0Mp3XduY5i3M
4wKODbg0xuyYCIc15tn2SX6bXWs98Hb7vie039Cf8Xpt/v/hqg45X7gv+VZV
3mEF3qzKe4F7fUd2T1XejztQlffhKDto3soOOfegxV2kfVV51/Og73RSp9Tf
5fD7nH2+3Qlt/iOAuhUdcz4yF/mvikn+fwD5Zf6vQHnANt/5BIc3ZUsCisWZ
IB787a9KXiqsBz1ob7Puft8o3WffeAt1t+2WS4f3dNsq952+I7ujKt/ELbZs
h++Xbhem2gb3E6E71Hux282HB+4EE2+nzOj/CHneZ929VYfr75G3rdor7lnS
/hLvMCKDpd5xhKfF3mlkXCqUL3d/kRF3h7kfuVt9IL9U+dHPRd6NRM8Wen+y
1Pq08fFdW/WTvuOj3Ol473NMuVN8qCp1ijvFb5vHf2hxP/mLDckDdAZ7rxda
A/V17pTuUPkEd7gyGaYsB1rnPPX2TfXygGM7ULwB6irlBX09qE6OlrcCr4TQ
4j9BmRunNab8VnrPeoJyQh4HfOuWtrg3zP3aM7wPy33cs72XOsj7p2vkg/bb
N+b8O7Ix7xpzVxcajygv+CoWB9yHzYNH7q7iG+7v3Vi+9wZ6T/Vc76qudQ7T
HnxwD5h2+B8sfKrjG/JOLvd94XeldwiRcX/pc0d4gPduSQ/0Tgh3Q4YrD+SC
L/IC+QZvinX/3ZA+yHcbsh/YnHF+i8PzTvnebjur5B0+zlQmyHSFfDHuA+3v
dvtDv8CjL7S5Rbkj/02OBzTesJ+UUzbeMWTePKRckddw+8T9X2wpdpT7Dwe0
Y4z3kMZ8i3pUY+rKTb43/KbhDerEPO3LXm3dbOfMDO0Id6FODfqf7pH8lPhG
djvfukb/DkpvvnZhrrR2a68KNn2mdPfYDmWPNaVPiXf1aOdl72BNc95Od31p
5XvOfIeDB844bQFrTl/fXhjakHjHuf6sUk7I64/eE4FGf8eCMRnrejXGd8Tb
alOnaivh5ULXL9axQ8oTuZ6i7BmDN5XDQcsK8r5eO3ydNpu5il7yBh9v6PGm
AXu3je7dHtRnUvDl9dNXuN89Ib4JfD8FPzd+bPws+M7xjdyljPa6T92jr2+w
/jN8UUNM41Mcahpa+PsKPvVBLXx/A/X1FM5I8IOXaNuLtesl6uuAxvxdwimN
KUtsNeO0UBr0rVj7Tznt0Qb9+ND5yLxknZ3kWtKm42F7Tz+RET5y0th+9OM1
fcv4mPe570YGn1Ym+C3xa7KHZr/Pm0rs8V9uyPJPK7flygTZME6sRYzbsw3p
E328If3Tw/VRr9bfuUrA37RS3y3fB/i0ft6Q+/+7GtIvPMHxXqbsl+r3Zb++
y33/fv1ad1n3x/YPXThbH+dk+1Pwva6RJ3xby/WzTnUPx3cPfr21tsf4L9G3
OkVazBt+J8Ge7VT9XuhUf/cH7AdW2HfaAI/fWzA3Vtp3ylj7GTd+O9HXOO/n
L7feUP2ea+VppLyTPkaa98nHA/6mA94W+DuO7fZrm+P7c33T5e4dytxHwQe8
gz/NOjvdw+JDXuXYwXcrdYk2drnXBXez+rJJmOj4tZIf+NriOID7/wEs9TrL

         "]], PolygonBox[CompressedData["
1:eJwlmHmUz9cZxq9QDLMSy2DMDBM63+9voUQWiS226KLEllZzSJoEtQUhpNKW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         "]]}]}, 
     {RGBColor[0.938302752293578, 0.7157568807339448, 0.4087385321100916], 
      EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNvXXc3cWx+P8AIcmThBAPcZdzHouivbftreMES4grEKRKWyi0xULcPUCg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         "]], PolygonBox[CompressedData["
1:eJwtmHucl1Mex4/UNNPM1OhiqqnGpNvzPL+LSoqyLGpETCpdUIhi2e6RW14u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         "]]}]}, 
     {RGBColor[0.9713302752293577, 0.7983256880733942, 0.5111238532110088], 
      EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNnXd8VUXTx6Phpt6EJCShBAjd3FQLivTekWZ9VCwovZfQexEVe0VAeu9V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         "]], 
        PolygonBox[CompressedData["
1:eJwtmHeclsUVhQdhWdhlV8qKUgRZyn7vVwULCCgYKwvSxIIRCFVUpIqAaIIR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         "]]}]}, 
     {RGBColor[1., 0.88394495412844, 0.6261467889908251], EdgeForm[None], 
      GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxdnXW4VcXXx889N7lcukFF8p5zE1EJCQlRSmwlpBspKSlBDDDoRlAJKUVR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         "]], PolygonBox[CompressedData["

1:eJwtmHm8z1Uax7/Xde2513KvZF9/57eXlF3LpIUIpTClKEvIEskW0SKFtNCm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         "]]}]}, 
     {RGBColor[1., 0.95, 0.75], EdgeForm[None], 
      GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNWgdwlVUWvi8hRGpCCSGQCiHvfy1RwAIKAq6ASicBpSlYAN1VrLgSWkhI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         "]], PolygonBox[CompressedData["

1:eJwllldwlkUUhjcJkBAChJaAQKjh279GikpLwAIWijRBsQCRJigdB0joRUB6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         "]]}]}}, {{}, 
     TagBox[
      TooltipBox[
       {GrayLevel[0], Opacity[0.5], CapForm["Butt"], LineBox[CompressedData["
1:eJwN1Gt0zgUcB/D/RomIsgsql8SeZ3OpSGHPU0QqzMydcpkxNrl2wbQVo3LZ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         "]]},
       "1.3`"],
      Annotation[#, 1.3, "Tooltip"]& ], 
     TagBox[
      TooltipBox[
       {GrayLevel[0], Opacity[0.5], CapForm["Butt"], LineBox[CompressedData["
1:eJwV01tMkAUYBuC/WVmyTMjVhaMCBKzUjDkKZas2O4iHqVtbktjE2WEDsTWa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         "]]},
       "1.2`"],
      Annotation[#, 1.2, "Tooltip"]& ], 
     TagBox[
      TooltipBox[
       {GrayLevel[0], Opacity[0.5], CapForm["Butt"], LineBox[CompressedData["
1:eJwN01loyAEABvC/ckeEsrHcGjsstJw5cs7GZpRyzw5KzcZmziLMOUc5ZnOt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         "]]},
       "1.1`"],
      Annotation[#, 1.1, "Tooltip"]& ], 
     TagBox[
      TooltipBox[
       {GrayLevel[0], Opacity[0.5], CapForm["Butt"], LineBox[CompressedData["
1:eJwV0GlozwEABuAfCnNfkXuL5BjG301o2Eah5hpzrlxbTKM5avugppmyFjXk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         "]]},
       "1"],
      Annotation[#, 1, "Tooltip"]& ], 
     TagBox[
      TooltipBox[
       {GrayLevel[0], Opacity[0.5], CapForm["Butt"], LineBox[CompressedData["
1:eJwN0MtPyAEAwPFfYiGGAyXzfmzpNVtcaKawbDajElubVjYalUOEsJHNKzYH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         "]]},
       "0.9`"],
      Annotation[#, 0.9, "Tooltip"]& ], 
     TagBox[
      TooltipBox[
       {GrayLevel[0], Opacity[0.5], CapForm["Butt"], LineBox[CompressedData["
1:eJwN0L1LFHAAgOHfQToUURGB5Qc5RFB+pINnQ6ANNaiRURkOKSZEkOdg9AHV
VUNQLZe2NER0fXiNhWhHZRloQsYVaTkoqZChFeriYkHP8PwB71vY0n4oFgkh
ZHi1M4RuUjyln9e84S0DvOMLo4zxlW+MM8c8v/jDAotEikJYRRbZbCKHzWwh
lzx2UEQxJZSyiz1UUc1e6jnMEY7SwDFOcZo2YlzkMnGucJVrJOikizskecRj
ntBDL328IM1LhvnACB+Z4DtTTPObBRZZIlKsmyyyySGXPPIpYCvlVBClkv3U
UscBjtPCCVrp4CznOM9NEtymk/skeU4vfaQZJsMnPjPFD2b5yTIr/OUfq0tC
WMd6NlDANsqJUslu9lFDLXU00kQzrcQ4Q5wb3CJBFw+4R5IUPaQZYoD3jDDN
ODPMsswKa0r9ZS0bKWQ7FZQRpZqD1FBPAydp5xIXiHOdBHfp5iEpntHPIKNk
GGOSOZb4D3Z3kLo=
         "]]},
       "0.8`"],
      Annotation[#, 0.8, "Tooltip"]& ], 
     TagBox[
      TooltipBox[
       {GrayLevel[0], Opacity[0.5], CapForm["Butt"], LineBox[CompressedData["
1:eJwN0btOE2AAgNGfRGG2gCRcBhYSsFB9Abm0fQGGStuNEZoWZHUoAWFgIxFD
WhhJoEFNDF0YFRRMgJGLhsUEXBhAEwIqnOEM3/y1DxcG8zUhhDkedYdwEw3h
lr/U6wgNNNLFE6J000sf/cRJkCRFmgxZchQYY5wiU0zzmhlmWaREmSUqrPOO
93xii22+cMgRx5zwnR9ccsVv/vCgJ4SH1FJHMy200kYPMZ7yjD76GSBOihcM
kWaEUXIUeEWRSaaY5w0LvGWFVdaoUGWTb+yxzwE/OeOcX1zzj//cEYn5wGOa
6KCT58RJkCRFmgxZ8ozzkgmmmWWBEmWW+cBHNqjyma/ssMsJp1xwDyFmYW8=

         "]]},
       "0.7`"],
      Annotation[#, 0.7, "Tooltip"]& ], 
     TagBox[
      TooltipBox[
       {GrayLevel[0], Opacity[0.5], CapForm["Butt"], 
        LineBox[{11997, 11973, 11998, 11996, 11999, 12000, 12019, 12018, 
         12020, 12021, 12041, 12042, 12044, 12046, 12064, 12066, 12067, 12068,
          12085, 12088, 12089, 12090, 12111, 12114, 12115, 12116, 12134, 
         12136, 12137, 12138, 12158, 12160, 12161, 12162, 12177, 12178, 12179,
          12180, 12201, 12202, 12203, 12204, 12223, 12224, 12225, 12226, 
         12246, 12247, 12248, 12249, 12266}]},
       "0.6`"],
      Annotation[#, 0.6, "Tooltip"]& ], {}, {}}}],
  AspectRatio->1,
  AxesOrigin->{Automatic, Automatic},
  DisplayFunction->Identity,
  Frame->True,
  FrameLabel->{{
     FormBox[
     "\"resistance level (\\!\\(\\*SubscriptBox[\\(r\\), \\(R\\)]\\))\"", 
      TraditionalForm], None}, {
     FormBox["\"antibiotic exposure prevalence (a)\"", TraditionalForm], 
     None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{"DefaultBoundaryStyle" -> Automatic, "GridLinesInFront" -> True},
  PlotRange->{{0., 1.}, {0., 1.}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.02]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.82375577603829*^9, 3.823756032911941*^9, 3.823756212862268*^9, 
   3.823756252502326*^9, 3.823756638522586*^9, {3.8238465148019133`*^9, 
   3.823846518905302*^9}, {3.823846623835498*^9, 3.8238466327183943`*^9}, 
   3.823954673630221*^9, 3.824357038431088*^9, {3.833384512672803*^9, 
   3.8333845209151287`*^9}, 3.833384624368451*^9},
 CellLabel->"Out[70]=",ImageCache->GraphicsData["CompressedBitmap", "\<\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\
\>"],ExpressionUUID->"d6418ab3-5d85-4a16-a2ef-da238a797cbf"]
}, Open  ]],

Cell[BoxData[""], "Input",
 CellChangeTimes->{{3.8237610099990807`*^9, 3.823761018201792*^9}, 
   3.823762439164572*^9},ExpressionUUID->"e46b503f-e65e-451e-923d-\
82ac08d5616d"]
}, Open  ]]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["exclusive colonization strain competition ", "Section",
 CellChangeTimes->{{3.823751575781005*^9, 
  3.823751584794664*^9}},ExpressionUUID->"1af5482b-2f6a-4af6-b201-\
d4f6678dbf51"],

Cell[BoxData[
 RowBox[{"Remove", "[", "\"\<Global`*\>\"", "]"}]], "Input",
 CellChangeTimes->{{3.8238462431712217`*^9, 3.8238462754705257`*^9}, 
   3.823846329287984*^9, 3.823859548085402*^9},
 CellLabel->"In[71]:=",ExpressionUUID->"343d0a5e-2530-4153-bcda-8dffc100f298"],

Cell[CellGroupData[{

Cell["assumptions", "Subsection",
 CellChangeTimes->{{3.823752043800378*^9, 
  3.8237520448083344`*^9}},ExpressionUUID->"8ea595d2-1520-46a4-92a0-\
c37a38a85c58"],

Cell[CellGroupData[{

Cell["acquisition", "Subsubsection",
 CellChangeTimes->{{3.823752213230814*^9, 
  3.823752222968005*^9}},ExpressionUUID->"974eaf47-c982-4310-8df3-\
15adfb31be99"],

Cell[BoxData[
 RowBox[{"(*", 
  RowBox[{"dynamic", " ", "transmission"}], "*)"}]], "Input",
 CellChangeTimes->{{3.8237523191955357`*^9, 
  3.823752328253602*^9}},ExpressionUUID->"d44aa56b-e163-45c3-8c8f-\
f1d52f142e80"],

Cell[BoxData[{
 RowBox[{
  RowBox[{
   RowBox[{
    SubscriptBox["\[Lambda]", "S"], "=", 
    RowBox[{"\[Beta]", " ", 
     SubscriptBox["X", "S"]}]}], ";"}], " "}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["\[Lambda]", "R"], "=", 
   RowBox[{"\[Beta]", " ", 
    SubscriptBox["X", "R"]}]}], ";"}]}], "Input",
 CellChangeTimes->{{3.823752249173657*^9, 3.823752255585662*^9}, 
   3.823753151896769*^9, {3.823756759514539*^9, 3.823756798837143*^9}, {
   3.8237703888299007`*^9, 3.823770389643333*^9}},
 CellLabel->"In[72]:=",ExpressionUUID->"8620a7d7-cde8-409a-8b8d-ee7900bb1e29"],

Cell[BoxData[
 RowBox[{"(*", 
  RowBox[{
  "endogenous", " ", "acquisition", " ", "only", " ", "among", " ", 
   "patients", " ", "not", " ", "exposed", " ", "to", " ", "effective", " ", 
   "antibiotic", " ", "therapy"}], "*)"}]], "Input",
 CellChangeTimes->{{3.823752031775613*^9, 
  3.823752076815504*^9}},ExpressionUUID->"c1e36b32-d313-4a79-ad8b-\
bbaae7d380cf"],

Cell[BoxData[{
 RowBox[{
  RowBox[{
   SubscriptBox["\[Alpha]", "S"], "=", 
   RowBox[{
    SubscriptBox["\[Alpha]\[Alpha]", "S"], 
    RowBox[{"(", 
     RowBox[{"1", "-", 
      RowBox[{"a", 
       RowBox[{"(", 
        RowBox[{"1", "-", 
         SubscriptBox["r", "S"]}], ")"}]}]}], ")"}]}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["\[Alpha]", "R"], "=", 
   RowBox[{
    SubscriptBox["\[Alpha]\[Alpha]", "R"], 
    RowBox[{"(", 
     RowBox[{"1", "-", 
      RowBox[{"a", 
       RowBox[{"(", 
        RowBox[{"1", "-", 
         SubscriptBox["r", "R"]}], ")"}]}]}], ")"}]}]}], ";"}]}], "Input",
 CellChangeTimes->{{3.823752079182749*^9, 3.8237521243811274`*^9}, {
   3.8237521999597197`*^9, 3.82375220121492*^9}, 3.82375315409468*^9, {
   3.82375681263269*^9, 3.823756825787075*^9}, {3.823772514029248*^9, 
   3.8237725171736107`*^9}},
 CellLabel->"In[74]:=",ExpressionUUID->"53ce81cf-0f37-4b50-a8f8-c8055f42fa14"]
}, Open  ]],

Cell[CellGroupData[{

Cell["fitness costs of resistance", "Subsubsection",
 CellChangeTimes->{{3.8237533994942493`*^9, 
  3.823753407093606*^9}},ExpressionUUID->"29a90b1e-ae99-44d6-84c5-\
5d33d9ee6e86"],

Cell[BoxData[{
 RowBox[{
  RowBox[{
   SubscriptBox["\[Gamma]", "S"], "=", "\[Gamma]\[Gamma]"}], " ", 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["\[Gamma]", "R"], "=", 
   RowBox[{"\[Gamma]\[Gamma]", " ", 
    RowBox[{"(", 
     RowBox[{"1", "+", "c"}], ")"}]}]}], ";"}]}], "Input",
 CellChangeTimes->{{3.823753409310162*^9, 3.82375344907831*^9}, {
  3.8237568901233997`*^9, 3.823756901600061*^9}},
 CellLabel->"In[76]:=",ExpressionUUID->"45739e96-82a1-4372-b055-596e3631362f"]
}, Open  ]],

Cell[CellGroupData[{

Cell["antibiotics", "Subsubsection",
 CellChangeTimes->{{3.823752213230814*^9, 3.823752222968005*^9}, {
  3.823752353061371*^9, 
  3.82375235387294*^9}},ExpressionUUID->"83f1b21b-cfab-4b4b-94c4-\
f2734ae3f29f"],

Cell[BoxData[{
 RowBox[{
  RowBox[{
   SubscriptBox["\[Sigma]", "S"], "=", 
   RowBox[{"a", 
    RowBox[{"(", 
     RowBox[{"1", "-", 
      SubscriptBox["r", "S"]}], ")"}], 
    SubscriptBox["\[Theta]", "X"]}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["\[Sigma]", "R"], "=", 
   RowBox[{"a", 
    RowBox[{"(", 
     RowBox[{"1", "-", 
      SubscriptBox["r", "R"]}], ")"}], 
    SubscriptBox["\[Theta]", "X"]}]}], ";"}]}], "Input",
 CellChangeTimes->{{3.823752359810463*^9, 3.823752383057992*^9}, 
   3.823753156115597*^9, {3.823755565580757*^9, 3.8237555664314203`*^9}, {
   3.8237569669071712`*^9, 3.823756977402158*^9}},
 CellLabel->"In[78]:=",ExpressionUUID->"c370916f-e8f0-4106-a2cc-068bc880d5f0"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["ODEs", "Subsection",
 CellChangeTimes->{{3.823752049900632*^9, 
  3.823752050279518*^9}},ExpressionUUID->"bbb28696-9dbb-49d0-82a0-\
6910fbb1d350"],

Cell[CellGroupData[{

Cell["baseline", "Subsubsection",
 CellChangeTimes->{{3.823772192830427*^9, 
  3.823772193343028*^9}},ExpressionUUID->"88e161a3-fc1c-4178-b64c-\
7ecc5f00059f"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"dS", " ", "=", " ", 
   RowBox[{
    RowBox[{
     RowBox[{"(", 
      RowBox[{"1", "-", 
       SubscriptBox["f", "X"]}], ")"}], "\[Mu]"}], "-", 
    RowBox[{"S", 
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["\[Lambda]", "S"], "+", 
       SubscriptBox["\[Lambda]", "R"], "+", 
       SubscriptBox["\[Alpha]", "S"], "+", 
       SubscriptBox["\[Alpha]", "R"], "+", "\[Mu]"}], ")"}]}], "+", 
    RowBox[{
     SubscriptBox["X", "S"], 
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["\[Gamma]", "S"], "+", 
       SubscriptBox["\[Sigma]", "S"]}], ")"}]}], "+", 
    RowBox[{
     SubscriptBox["X", "R"], 
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["\[Gamma]", "R"], "+", 
       SubscriptBox["\[Sigma]", "R"]}], ")"}]}]}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["dX", "S"], " ", "=", "  ", 
   RowBox[{
    RowBox[{
     SubscriptBox["f", "X"], 
     RowBox[{"(", 
      RowBox[{"1", "-", 
       SubscriptBox["f", "R"]}], ")"}], " ", "\[Mu]"}], "+", 
    RowBox[{"S", 
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["\[Lambda]", "S"], "+", 
       SubscriptBox["\[Alpha]", "S"]}], ")"}]}], "-", 
    RowBox[{
     SubscriptBox["X", "S"], 
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["\[Gamma]", "S"], "+", 
       SubscriptBox["\[Sigma]", "S"], "+", "\[Mu]"}], ")"}]}]}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["dX", "R"], " ", "=", "  ", 
   RowBox[{
    RowBox[{
     SubscriptBox["f", "X"], 
     SubscriptBox["f", "R"], " ", "\[Mu]"}], "+", 
    RowBox[{"S", 
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["\[Lambda]", "R"], "+", 
       SubscriptBox["\[Alpha]", "R"]}], ")"}]}], "-", 
    RowBox[{
     SubscriptBox["X", "R"], 
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["\[Gamma]", "R"], "+", 
       SubscriptBox["\[Sigma]", "R"], "+", "\[Mu]"}], ")"}]}]}]}], 
  ";"}]}], "Input",
 CellChangeTimes->{{3.823751801665696*^9, 3.823751915773488*^9}, {
  3.823751953795045*^9, 3.823752026415023*^9}, {3.823752127374278*^9, 
  3.823752130241724*^9}, {3.823752184899906*^9, 3.823752186731699*^9}, {
  3.8237531594522047`*^9, 3.82375317371377*^9}, {3.823755087893339*^9, 
  3.823755090119944*^9}, {3.823755569742168*^9, 3.823755570701911*^9}, {
  3.82375711548433*^9, 3.8237572264590473`*^9}, {3.823759123040935*^9, 
  3.8237591273119307`*^9}, {3.823760180198102*^9, 3.8237602049134207`*^9}},
 CellLabel->"In[80]:=",ExpressionUUID->"6cb73726-ea8b-4e83-b7ec-f16d7dc9d38e"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["parameter values", "Subsection",
 CellChangeTimes->{{3.823752927643627*^9, 
  3.8237529290310783`*^9}},ExpressionUUID->"5f152ec7-60d7-4422-bc57-\
0d0bf936aca9"],

Cell[BoxData[
 RowBox[{"(*", 
  RowBox[{
   RowBox[{"excludes", " ", "a", " ", "and", " ", 
    SubscriptBox["r", "R"]}], ",", " ", 
   RowBox[{"as", " ", "we", " ", "evaluate", " ", "over", " ", "these"}]}], 
  "*)"}]], "Input",
 CellChangeTimes->{{3.8237546116895323`*^9, 3.823754619808728*^9}, {
  3.833384683184968*^9, 
  3.83338468346509*^9}},ExpressionUUID->"02d7ac98-d513-4105-ab31-\
ccd891e08c22"],

Cell[CellGroupData[{

Cell[TextData[{
 "parameters in absence of ",
 Cell[BoxData[
  FormBox[
   SubscriptBox["X", "R"], TraditionalForm]],ExpressionUUID->
  "021daadf-876d-432f-8e11-4f3c5c8705a3"],
 " (to evaluate at disease-free equilibrium, DFE) reflecting endemic ",
 Cell[BoxData[
  FormBox[
   SubscriptBox["X", "R"], TraditionalForm]],ExpressionUUID->
  "74ae9b80-ec81-412f-ad7c-51f995dad694"]
}], "Subsubsection",
 CellChangeTimes->{{3.82377229898209*^9, 3.823772307334497*^9}, {
  3.8237727307366*^9, 3.823772740663211*^9}, {3.824357179010023*^9, 
  3.8243571943310137`*^9}},ExpressionUUID->"68df22a0-dd6b-4087-a1c3-\
8922e52ffaaf"],

Cell[BoxData[
 RowBox[{
  RowBox[{"paramsStrainCompNoXR", " ", "=", " ", 
   RowBox[{"{", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{"\[Beta]", "\[Rule]", "0.2"}], ",", 
     RowBox[{
      SubscriptBox["\[Alpha]\[Alpha]", "S"], "\[Rule]", "0.01"}], ",", 
     RowBox[{
      SubscriptBox["\[Alpha]\[Alpha]", "R"], "\[Rule]", "0"}], ",", 
     RowBox[{"\[Gamma]\[Gamma]", "\[Rule]", "0.03"}], ",", 
     RowBox[{"c", "\[Rule]", "0"}], ",", "\[IndentingNewLine]", 
     RowBox[{"\[Mu]", "\[Rule]", "0.1"}], ",", 
     RowBox[{
      SubscriptBox["f", "X"], "\[Rule]", "0.1"}], ",", 
     RowBox[{
      SubscriptBox["f", "R"], "\[Rule]", "0"}], ",", 
     RowBox[{
      SubscriptBox["\[Theta]", "X"], "\[Rule]", "0.2"}], ",", 
     RowBox[{
      SubscriptBox["r", "S"], "\[Rule]", "0"}]}], "}"}]}], ";"}]], "Input",
 CellChangeTimes->{{3.8333846756228237`*^9, 3.833384675967381*^9}},
 CellLabel->"In[86]:=",ExpressionUUID->"de77ff01-83cc-4898-a506-cf2818defe11"]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 "parameters given invading ",
 Cell[BoxData[
  FormBox[
   SubscriptBox["X", "R"], TraditionalForm]],ExpressionUUID->
  "fe81b7ae-9ab4-4868-843c-a00ba921becc"]
}], "Subsubsection",
 CellChangeTimes->{{3.82377229898209*^9, 3.823772319605712*^9}, {
  3.823772553062584*^9, 3.823772553204091*^9}, {3.823772741868808*^9, 
  3.823772758987459*^9}, {3.824357265112939*^9, 
  3.82435726886762*^9}},ExpressionUUID->"fb995da4-bd8c-472a-b7b0-\
3165625a9558"],

Cell[BoxData[
 RowBox[{
  RowBox[{"paramsStrainComp", " ", "=", " ", 
   RowBox[{"{", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{"\[Beta]", "\[Rule]", "0.2"}], ",", 
     RowBox[{
      SubscriptBox["\[Alpha]\[Alpha]", "S"], "\[Rule]", "0.01"}], ",", 
     RowBox[{
      SubscriptBox["\[Alpha]\[Alpha]", "R"], "\[Rule]", "0.01"}], ",", 
     RowBox[{"\[Gamma]\[Gamma]", "\[Rule]", "0.03"}], ",", 
     RowBox[{"c", "\[Rule]", "1"}], ",", "\[IndentingNewLine]", 
     RowBox[{"\[Mu]", "\[Rule]", "0.1"}], ",", 
     RowBox[{
      SubscriptBox["f", "X"], "\[Rule]", "0.1"}], ",", 
     RowBox[{
      SubscriptBox["f", "R"], "\[Rule]", "0.5"}], ",", "\[IndentingNewLine]", 
     
     RowBox[{
      SubscriptBox["\[Theta]", "X"], "\[Rule]", "0.2"}], ",", 
     RowBox[{
      SubscriptBox["r", "S"], "\[Rule]", "0"}]}], "}"}]}], ";"}]], "Input",
 CellChangeTimes->{{3.8333846653924217`*^9, 3.833384667321623*^9}},
 CellLabel->"In[87]:=",ExpressionUUID->"1327d414-0ff9-4406-8dcd-aa49a6a6a30b"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["prevalence", "Subsection",
 CellChangeTimes->{{3.823753143503159*^9, 
  3.82375314424407*^9}},ExpressionUUID->"c4f1570f-d574-4e0a-82c1-\
1e4ea549e157"],

Cell[CellGroupData[{

Cell[TextData[{
 "evaluated for a \[Element] {0,1}, ",
 Cell[BoxData[
  FormBox[
   SubscriptBox["r", "R"], TraditionalForm]],ExpressionUUID->
  "c316ed3e-aec0-40d9-b9dd-2b30fa9413b5"],
 " = 0.8"
}], "Subsubsection",
 CellChangeTimes->{{3.823753271371581*^9, 3.823753313314786*^9}, {
  3.8237554380773153`*^9, 3.823755445358658*^9}, {3.823759852089511*^9, 
  3.823759852672833*^9}},ExpressionUUID->"c36a66cb-9fe1-4851-a9d0-\
cb5b6148386e"],

Cell[BoxData[
 RowBox[{
  RowBox[{"eqba", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"S", ",", 
           SubscriptBox["X", "S"], ",", 
           SubscriptBox["X", "R"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{"dS", "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "S"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "R"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", "S", "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "S"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "R"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsStrainComp"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "0.8"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{"S", ",", 
             SubscriptBox["X", "S"], ",", 
             SubscriptBox["X", "R"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}]], "Input",
 CellChangeTimes->{{3.8237600905314837`*^9, 3.823760116066146*^9}, {
   3.82376037716776*^9, 3.823760389451083*^9}, {3.8237609434899473`*^9, 
   3.823760974313092*^9}, 3.8237611038464203`*^9, {3.823761140613228*^9, 
   3.823761210490848*^9}, {3.8243570666347837`*^9, 3.824357090203506*^9}},
 CellLabel->"In[88]:=",ExpressionUUID->"91d1ba08-c6af-4bf9-b132-f77e166ae170"],

Cell[BoxData[{
 RowBox[{
  RowBox[{
   SubscriptBox["prevalenceX", "S"], "=", 
   RowBox[{"eqba", "[", 
    RowBox[{"[", 
     RowBox[{"All", ",", 
      RowBox[{"{", 
       RowBox[{"1", ",", "3"}], "}"}]}], "]"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["prevalenceX", "R"], "=", 
   RowBox[{"eqba", "[", 
    RowBox[{"[", 
     RowBox[{"All", ",", 
      RowBox[{"{", 
       RowBox[{"1", ",", "4"}], "}"}]}], "]"}], "]"}]}], ";"}]}], "Input",
 CellChangeTimes->{{3.823754934688197*^9, 3.823754962783456*^9}, {
  3.8237549934437647`*^9, 3.8237550181068087`*^9}, {3.8237551204557037`*^9, 
  3.82375513518036*^9}, {3.823761222814671*^9, 3.823761241150538*^9}, {
  3.823761304180417*^9, 3.823761312789419*^9}},
 CellLabel->"In[89]:=",ExpressionUUID->"64746b4d-58a7-4c1e-9088-5b7ffec52981"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListLinePlot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     SubscriptBox["prevalenceX", "S"], ",", 
     SubscriptBox["prevalenceX", "R"]}], "}"}], ",", " ", 
   RowBox[{"PlotLegends", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
      SubscriptBox["X", "S"], ",", 
      SubscriptBox["X", "R"]}], "}"}]}], ",", 
   RowBox[{"PlotRange", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"0", ",", "0.4"}], "}"}]}], ",", 
   RowBox[{"AxesLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<antibiotic exposure prevalence (a)\>\"", ",", " ", 
      "\"\<colonization prevalence\>\""}], "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.823755021925704*^9, 3.823755026235097*^9}, {
  3.823755138852312*^9, 3.8237551412308893`*^9}, {3.8237552542875767`*^9, 
  3.823755258538995*^9}, {3.823755288960106*^9, 3.823755305046205*^9}, {
  3.823755340056356*^9, 3.823755355579713*^9}, {3.823761257656982*^9, 
  3.823761264076832*^9}, {3.823761318622267*^9, 3.8237613483486767`*^9}, {
  3.823846179198043*^9, 3.8238461905014877`*^9}, {3.823846357946103*^9, 
  3.823846391265582*^9}},
 CellLabel->"In[91]:=",ExpressionUUID->"a410d5b7-ba77-430d-b496-7a14376bd2f2"],

Cell[BoxData[
 TemplateBox[{GraphicsBox[{{}, {{{}, {}, {
        Hue[0.67, 0.6, 0.6], 
        Directive[
         PointSize[
          NCache[
           Rational[1, 72], 0.013888888888888888`]], 
         RGBColor[0.368417, 0.506779, 0.709798], 
         AbsoluteThickness[1.6]], 
        LineBox[CompressedData["
1:eJw1kglQlHUYxheasYlKuSIJAg0wBFFT0JLjUWsKHRk8sACBUUm8ioCYMSCW
iUB3NIIB8yCgZXdhuVxXQFiQYwGRQxYWdoHlyFjucyXdZUgQY7e3d+abb/7f
8b7P8/zejae/O3pGn8FgnFm9tPf/6+BxbXUjxlTwhTI6AVEK/7SQRjmdr8Nx
pCNEulsOkVXizBFRFqQBN3IFRTJ6z4NBzUyWha0M6be1lY9TloeatmV10fcC
7FfZMPUsujB7RPvkHqQS1zZeeif9X4rtJlc/cny/Ewa93DB3g3J87SH+kcuR
Ur8KCF1/Fpg7SrE5ILleY1+FHXW3Op2+7aD+NXDb9EK+/2o7eKt/93LFYMXF
OUXdkdC8OhSy+tZ29bRhp64aMLBYdPTAmjaa/xBNrL313a6P0aCxX53QiINn
XELPX2olPU1YKjYzeiZqwVHdwGaYrUuK8mO0kL4WHC62+yfRqxnKaG3DVpiv
GZD7s5tIbxtSE5+UihYfIVwrL0wCoXG8EfPLR6S/Hdcy43+/UtGI/2hIERPo
lyXc2Eh+pDBwu3lC9utDeOoGdCLemRfUwnhI/johs2M1X7zUAO20gOQu1M5z
0tKe1ZNfGfr9QzvMI+qhs9Mrgyk/Sd6rqSP/cnRpksL5sXWw1sqx6sauk1LD
4DfqKI9utHfZKsZuiXE2RFs9GP2AV//mFjHl04th/dILwYm10HYzFfSCpUq3
ulhRQ3kpYGgycmH2eTUWtO00CuQWMnbxnaspvz44REcmBcZUwUPXsB+f7X5W
IGt6QHn2w0NvSd1h/gA6eYkDyLjPXXovvJLyHcRKhmNEnKQCkjZtDULfSGPX
urWC8v4Te31OPm+5LsI7OoFPcPn2osj7VTnl/wSiwz4HtoaWQ9cu4C+YRi+f
2KMsIx5DYF3mxB70LSM/QxDeVb7aJbtPfIaQvqZ2su/IffI3hAUbk+G18lLi
pYTaVG9ziV8p+VViT8HN2JzhEuKnBGuw1PhRaAn5H4bKxoO58LKYeA5jkV2V
b55STHmsni+cazCxKya+I3AIK9zWWnWP8hlBQuvGGJuv7hHvEfSHW3i9rhZS
XqP45Xi2f1CakPiP4uPUFT9jFyHlNwrbhPQ5i+K7tA9jeGvKIClqRUB5jiHM
bn2MmbeA9mMMWypjD0i4dyjfcaivqK2il4toX8YhbnLgvfAtorzHweCw/3aq
KKT9mYCh8ymm2rKQ8p+Ac27yuu0JBbRPEwgbqM1rUOUTj0lkfG4cmxaQTzwm
IY8wUCZI8ojHJNgv33Vn7ssjHpNQ1LUwzor4xGMK689xb3y4g088ppByLck3
X5BLPKZgr9+X0OOUSzymYWndvjP9bg5SdDym4TMt9hramUM8ptFWzf3pt0oe
8ZjBNwNGbvxPecRjBqbDj7Ne6+ASjxmIvdk/3A7gEo9ZiFMq3X1nOcRjFmyX
Y4ztTA7xmMVySNV5I2MO8ZiDoqyxZI6fTTzm4CaP4JQhm3jMwbOGwQzqYxMP
FZpjXN5WRLKJhwqHji0kmxmziYcK9gv7Ii1O/0E8nmLyE8/AYG4W8XiKDdZ5
mrmJTOKxen4xb5OzLZN4zEO4aUPq99EZ+BdzfB5J
         "]]}, {
        Hue[0.9060679774997897, 0.6, 0.6], 
        Directive[
         PointSize[
          NCache[
           Rational[1, 72], 0.013888888888888888`]], 
         RGBColor[0.880722, 0.611041, 0.142051], 
         AbsoluteThickness[1.6]], 
        LineBox[CompressedData["
1:eJw1lAtMU2cUx1GDMuKIOgeGEQTNpk4eKjKZUf51QBgkWOzC1IQNBcFAwZbo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         "]]}}}, {}, {}, {}, {}}, {
    DisplayFunction -> Identity, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, AxesOrigin -> {0, 0}, 
     PlotRange -> {{0, 1.}, {0, 0.4}}, PlotRangeClipping -> True, 
     ImagePadding -> All, DisplayFunction -> Identity, AspectRatio -> 
     NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
     AxesLabel -> {
       FormBox["\"antibiotic exposure prevalence (a)\"", TraditionalForm], 
       FormBox["\"colonization prevalence\"", TraditionalForm]}, 
     AxesOrigin -> {0, 0}, DisplayFunction :> Identity, 
     Frame -> {{False, False}, {False, False}}, 
     FrameLabel -> {{None, None}, {None, None}}, 
     FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}}, 
     GridLines -> {None, None}, GridLinesStyle -> Directive[
       GrayLevel[0.5, 0.4]], 
     Method -> {"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& ), "CopiedValueFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& )}}, PlotRange -> {{0, 1.}, {0, 0.4}}, 
     PlotRangeClipping -> True, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, Ticks -> {Automatic, Automatic}}],FormBox[
    FormBox[
     TemplateBox[{
       SubscriptBox["X", "S"], 
       SubscriptBox["X", "R"]}, "LineLegend", DisplayFunction -> (FormBox[
        StyleBox[
         StyleBox[
          PaneBox[
           TagBox[
            GridBox[{{
               TagBox[
                GridBox[{{
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 4], 0.25]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 4], 0.25]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 4], 0.25]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 4], 0.25]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                 AutoDelete -> False, 
                 GridBoxDividers -> {
                  "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
                  GridBoxSpacings -> {
                  "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
             AutoDelete -> False, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
            "Grid"], Alignment -> Left, AppearanceElements -> None, 
           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
         FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
         False], TraditionalForm]& ), 
      InterpretationFunction :> (RowBox[{"LineLegend", "[", 
         RowBox[{
           RowBox[{"{", 
             RowBox[{
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "72"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "72"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.880722, 0.611041, 0.142051]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
              "}"}], ",", 
           RowBox[{"{", 
             RowBox[{#, ",", #2}], "}"}], ",", 
           RowBox[{"LegendMarkers", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",", 
           RowBox[{"Joined", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{"True", ",", "True"}], "}"}]}], ",", 
           RowBox[{"LabelStyle", "\[Rule]", 
             RowBox[{"{", "}"}]}], ",", 
           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
      Editable -> True], TraditionalForm], TraditionalForm]},
  "Legended",
  DisplayFunction->(GridBox[{{
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"], 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, GridBoxItemSize -> Automatic, 
    BaselinePosition -> {1, 1}]& ),
  Editable->True,
  InterpretationFunction->(RowBox[{"Legended", "[", 
     RowBox[{#, ",", 
       RowBox[{"Placed", "[", 
         RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{
  3.8237550269948483`*^9, {3.82375513926575*^9, 3.823755141497836*^9}, 
   3.8237552590862703`*^9, {3.82375530109597*^9, 3.823755305586677*^9}, {
   3.823755348670589*^9, 3.8237553559439297`*^9}, 3.823755583259522*^9, 
   3.8237556737616*^9, 3.8237557130180063`*^9, {3.823756295653564*^9, 
   3.8237563221182013`*^9}, 3.823761266194873*^9, {3.8237613242617064`*^9, 
   3.8237613488448*^9}, 3.823762461763652*^9, 3.8237704555884857`*^9, 
   3.8237726371882963`*^9, 3.8238461915502777`*^9, {3.8238463515159683`*^9, 
   3.8238463918212748`*^9}, 3.823846657751864*^9, 3.823954700551309*^9, 
   3.824357097454743*^9, 3.82435713137904*^9, 3.824357293430715*^9, 
   3.833384714464404*^9},
 CellLabel->"Out[91]=",ExpressionUUID->"844edb42-376c-4e6d-b213-3d9bc4d64735"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 "evaluated for a \[Element] {0,1}, ",
 Cell[BoxData[
  FormBox[
   SubscriptBox["r", "R"], TraditionalForm]],
  FormatType->"TraditionalForm",ExpressionUUID->
  "5c0b9779-9e7a-497f-acb1-eece6f4602fa"],
 " = 1"
}], "Subsubsection",
 CellChangeTimes->{{3.823753271371581*^9, 3.823753313314786*^9}, {
  3.8237554380773153`*^9, 3.823755445358658*^9}, {3.823759852089511*^9, 
  3.823759852672833*^9}, {3.823761369494205*^9, 
  3.8237613700214376`*^9}},ExpressionUUID->"7ab6a36c-8834-44ab-a4ba-\
363bbefbb133"],

Cell[BoxData[
 RowBox[{
  RowBox[{"eqba", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"S", ",", 
           SubscriptBox["X", "S"], ",", 
           SubscriptBox["X", "R"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{"dS", "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "S"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "R"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", "S", "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "S"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "R"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsStrainComp"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "1"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{"S", ",", 
             SubscriptBox["X", "S"], ",", 
             SubscriptBox["X", "R"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}]], "Input",
 CellChangeTimes->{{3.8237600905314837`*^9, 3.823760116066146*^9}, {
   3.82376037716776*^9, 3.823760389451083*^9}, {3.8237609434899473`*^9, 
   3.823760974313092*^9}, 3.8237611038464203`*^9, {3.823761140613228*^9, 
   3.823761210490848*^9}, {3.823761371523458*^9, 3.8237613720004787`*^9}, {
   3.82435714022794*^9, 3.824357149334601*^9}},
 CellLabel->"In[92]:=",ExpressionUUID->"f1b24dfb-ba17-4d0e-94a0-f938f4df65c4"],

Cell[BoxData[{
 RowBox[{
  RowBox[{
   SubscriptBox["prevalenceX", "S"], "=", 
   RowBox[{"eqba", "[", 
    RowBox[{"[", 
     RowBox[{"All", ",", 
      RowBox[{"{", 
       RowBox[{"1", ",", "3"}], "}"}]}], "]"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["prevalenceX", "R"], "=", 
   RowBox[{"eqba", "[", 
    RowBox[{"[", 
     RowBox[{"All", ",", 
      RowBox[{"{", 
       RowBox[{"1", ",", "4"}], "}"}]}], "]"}], "]"}]}], ";"}]}], "Input",
 CellChangeTimes->{{3.823754934688197*^9, 3.823754962783456*^9}, {
  3.8237549934437647`*^9, 3.8237550181068087`*^9}, {3.8237551204557037`*^9, 
  3.82375513518036*^9}, {3.823761222814671*^9, 3.823761241150538*^9}, {
  3.823761304180417*^9, 3.823761312789419*^9}},
 CellLabel->"In[93]:=",ExpressionUUID->"5428287a-07ce-46ab-9ec4-73c1fc0d36b6"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListLinePlot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     SubscriptBox["prevalenceX", "S"], ",", 
     SubscriptBox["prevalenceX", "R"]}], "}"}], ",", " ", 
   RowBox[{"PlotLegends", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
      SubscriptBox["X", "S"], ",", 
      SubscriptBox["X", "R"]}], "}"}]}], ",", 
   RowBox[{"AxesLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<antibiotic exposure prevalence (a)\>\"", ",", " ", 
      "\"\<colonization prevalence\>\""}], "}"}]}], ",", 
   RowBox[{"PlotRange", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"0", ",", "0.4"}], "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.823755021925704*^9, 3.823755026235097*^9}, {
   3.823755138852312*^9, 3.8237551412308893`*^9}, {3.8237552542875767`*^9, 
   3.823755258538995*^9}, {3.823755288960106*^9, 3.823755305046205*^9}, {
   3.823755340056356*^9, 3.823755355579713*^9}, {3.823761257656982*^9, 
   3.823761264076832*^9}, {3.823761318622267*^9, 3.8237613483486767`*^9}, 
   3.8238466828209743`*^9},
 CellLabel->"In[95]:=",ExpressionUUID->"e6068867-139d-4d34-93dc-9d7760b79499"],

Cell[BoxData[
 TemplateBox[{GraphicsBox[{{}, {{{}, {}, {
        Hue[0.67, 0.6, 0.6], 
        Directive[
         PointSize[
          NCache[
           Rational[1, 72], 0.013888888888888888`]], 
         RGBColor[0.368417, 0.506779, 0.709798], 
         AbsoluteThickness[1.6]], 
        LineBox[CompressedData["
1:eJw1kglMk3cYxhGJMBsVBLbhwRUExuaFREDDHoMmOoUNETKDhekmWmCZlWGc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         "]]}, {
        Hue[0.9060679774997897, 0.6, 0.6], 
        Directive[
         PointSize[
          NCache[
           Rational[1, 72], 0.013888888888888888`]], 
         RGBColor[0.880722, 0.611041, 0.142051], 
         AbsoluteThickness[1.6]], 
        LineBox[CompressedData["
1:eJw1kg001XcYx2/OthOHrYlxZrJmazpCktVa8xUaa1l0hk3XDOt1tQi9kDZn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         "]]}}}, {}, {}, {}, {}}, {
    DisplayFunction -> Identity, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, AxesOrigin -> {0, 0}, 
     PlotRange -> {{0, 1.}, {0, 0.4}}, PlotRangeClipping -> True, 
     ImagePadding -> All, DisplayFunction -> Identity, AspectRatio -> 
     NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
     AxesLabel -> {
       FormBox["\"antibiotic exposure prevalence (a)\"", TraditionalForm], 
       FormBox["\"colonization prevalence\"", TraditionalForm]}, 
     AxesOrigin -> {0, 0}, DisplayFunction :> Identity, 
     Frame -> {{False, False}, {False, False}}, 
     FrameLabel -> {{None, None}, {None, None}}, 
     FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}}, 
     GridLines -> {None, None}, GridLinesStyle -> Directive[
       GrayLevel[0.5, 0.4]], 
     Method -> {"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& ), "CopiedValueFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& )}}, PlotRange -> {{0, 1.}, {0, 0.4}}, 
     PlotRangeClipping -> True, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, Ticks -> {Automatic, Automatic}}],FormBox[
    FormBox[
     TemplateBox[{
       SubscriptBox["X", "S"], 
       SubscriptBox["X", "R"]}, "LineLegend", DisplayFunction -> (FormBox[
        StyleBox[
         StyleBox[
          PaneBox[
           TagBox[
            GridBox[{{
               TagBox[
                GridBox[{{
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 4], 0.25]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 4], 0.25]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 4], 0.25]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 4], 0.25]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                 AutoDelete -> False, 
                 GridBoxDividers -> {
                  "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
                  GridBoxSpacings -> {
                  "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
             AutoDelete -> False, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
            "Grid"], Alignment -> Left, AppearanceElements -> None, 
           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
         FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
         False], TraditionalForm]& ), 
      InterpretationFunction :> (RowBox[{"LineLegend", "[", 
         RowBox[{
           RowBox[{"{", 
             RowBox[{
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "72"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "72"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.880722, 0.611041, 0.142051]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
              "}"}], ",", 
           RowBox[{"{", 
             RowBox[{#, ",", #2}], "}"}], ",", 
           RowBox[{"LegendMarkers", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",", 
           RowBox[{"Joined", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{"True", ",", "True"}], "}"}]}], ",", 
           RowBox[{"LabelStyle", "\[Rule]", 
             RowBox[{"{", "}"}]}], ",", 
           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
      Editable -> True], TraditionalForm], TraditionalForm]},
  "Legended",
  DisplayFunction->(GridBox[{{
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"], 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, GridBoxItemSize -> Automatic, 
    BaselinePosition -> {1, 1}]& ),
  Editable->True,
  InterpretationFunction->(RowBox[{"Legended", "[", 
     RowBox[{#, ",", 
       RowBox[{"Placed", "[", 
         RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{
  3.8237550269948483`*^9, {3.82375513926575*^9, 3.823755141497836*^9}, 
   3.8237552590862703`*^9, {3.82375530109597*^9, 3.823755305586677*^9}, {
   3.823755348670589*^9, 3.8237553559439297`*^9}, 3.823755583259522*^9, 
   3.8237556737616*^9, 3.8237557130180063`*^9, {3.823756295653564*^9, 
   3.8237563221182013`*^9}, 3.823761266194873*^9, {3.8237613242617064`*^9, 
   3.8237613752954893`*^9}, 3.8237624661537523`*^9, 3.823770461483886*^9, 
   3.823772642928323*^9, 3.823846660760356*^9, 3.823846830964435*^9, 
   3.82395470549107*^9, 3.824357154080011*^9, 3.8243573018357153`*^9, 
   3.8333847215848217`*^9},
 CellLabel->"Out[95]=",ExpressionUUID->"e57149ba-91ed-47bf-bff8-ac437964f1db"]
}, Open  ]]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[Cell[BoxData[
 FormBox[
  SubscriptBox["R", "0"], TraditionalForm]],
 FormatType->
  "TraditionalForm",ExpressionUUID->"02b2493f-c24d-4649-9077-d88583dd2c67"]], \
"Subsection",
 CellChangeTimes->{{3.823755416413868*^9, 
  3.823755420381833*^9}},ExpressionUUID->"f0981e54-cfca-444e-ac85-\
3ada5d457a93"],

Cell[BoxData[
 RowBox[{
  RowBox[{"R0", "=", 
   RowBox[{
    SubscriptBox["S", "DFE"], 
    FractionBox[
     RowBox[{"\[Beta]", "+", 
      SubscriptBox["\[Alpha]", "R"]}], 
     RowBox[{
      SubscriptBox["\[Gamma]", "R"], "+", 
      SubscriptBox["\[Sigma]", "R"], "+", "\[Mu]"}]]}]}], ";"}]], "Input",
 CellChangeTimes->{{3.823755424770399*^9, 3.823755426044648*^9}, {
  3.82375552685004*^9, 3.823755553451888*^9}, {3.823755593885764*^9, 
  3.8237556068025627`*^9}, {3.8237621367665653`*^9, 3.823762138741721*^9}, {
  3.82377191680751*^9, 3.823771923055458*^9}},
 CellLabel->"In[96]:=",ExpressionUUID->"8d5a1dc6-281f-46f8-bb7d-432856530d21"],

Cell[CellGroupData[{

Cell["evaluate for a \[Element] {0,1}, r \[Element] {0,1}", "Subsubsection",
 CellChangeTimes->{{3.823753271371581*^9, 3.823753313314786*^9}, {
  3.8237554380773153`*^9, 3.823755445358658*^9}, {3.823755633171908*^9, 
  3.823755640739087*^9}},ExpressionUUID->"bc9ab22f-cc42-48aa-807e-\
57b909678815"],

Cell[BoxData[
 RowBox[{"(*", 
  RowBox[{
  "function", " ", "to", " ", "select", " ", "equilibrium", " ", "value", " ",
    "of", " ", "S", " ", "from", " ", "solution"}], "*)"}]], "Input",
 CellChangeTimes->{{3.824358689995742*^9, 
  3.824358703400875*^9}},ExpressionUUID->"314e38d2-e02d-4da8-bbdc-\
ce8ae1858ffd"],

Cell[BoxData[
 RowBox[{
  RowBox[{"f", "[", "sol_", "]"}], ":=", 
  RowBox[{"S", "/.", 
   RowBox[{"sol", "[", 
    RowBox[{"[", 
     RowBox[{"1", ",", "1"}], "]"}], "]"}]}]}]], "Input",
 CellChangeTimes->{{3.824358462114094*^9, 3.824358480613011*^9}},
 CellLabel->"In[97]:=",ExpressionUUID->"f49617b1-73ce-4fac-84c2-c71d7f75a249"],

Cell[BoxData[
 RowBox[{
  RowBox[{"R0eval", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{"a", ",", 
       SubscriptBox["r", "R"], ",", 
       RowBox[{
        RowBox[{"R0", "/.", "paramsStrainComp"}], "/.", 
        RowBox[{
         SubscriptBox["S", "DFE"], "\[Rule]", 
         RowBox[{"f", "[", 
          RowBox[{"NSolve", "[", 
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{"dS", "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "S"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "R"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["X", "R"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", "S", "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "S"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsStrainCompNoXR"}], ",", 
            RowBox[{"{", 
             RowBox[{"S", ",", 
              SubscriptBox["X", "S"], ",", 
              SubscriptBox["X", "R"]}], "}"}]}], "]"}], "]"}]}]}]}], "}"}], 
     ",", 
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{
       SubscriptBox["r", "R"], ",", "0", ",", "1", ",", "0.01"}], "}"}]}], 
    "]"}]}], ";"}]], "Input",
 CellChangeTimes->{{3.824357617153954*^9, 3.824357832827928*^9}, {
  3.824358253407072*^9, 3.82435830452577*^9}, {3.824358343860819*^9, 
  3.824358408625126*^9}, {3.824358469848988*^9, 3.8243585183776903`*^9}, {
  3.824358596592578*^9, 3.824358658166444*^9}, {3.824358712932172*^9, 
  3.824358725706542*^9}},
 CellLabel->"In[98]:=",ExpressionUUID->"6624313b-a474-4990-8740-f116b5221b50"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListContourPlot", "[", 
  RowBox[{
   RowBox[{"Flatten", "[", 
    RowBox[{"R0eval", ",", "1"}], "]"}], ",", " ", 
   RowBox[{"FrameLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<antibiotic exposure prevalence (a)\>\"", ",", " ", 
      "\"\<resistance level (\!\(\*SubscriptBox[\(r\), \(R\)]\))\>\""}], 
     "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.82377158873556*^9, 3.823771589176443*^9}, {
  3.8237728583071833`*^9, 3.823772904921867*^9}, {3.823846668340231*^9, 
  3.8238466685980577`*^9}, {3.8333847381726217`*^9, 3.83338473870371*^9}},
 CellLabel->"In[99]:=",ExpressionUUID->"94feadb7-7ccc-4956-a429-c83934396fc9"],

Cell[BoxData[
 GraphicsBox[GraphicsComplexBox[CompressedData["
1:eJx0vT1sI1vXpSc4nHicjmHAwRhw5th+Qzudib/IgO3Q43Sc9sTjgIkdKBkm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   "], {{
     {RGBColor[0.148, 0.33, 0.54], EdgeForm[None], 
      GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNmnl01dURx38g2PZ4emoRBUKSt+fBeyGsYuvSP2sV2XcIW9jqAm1Pj7hU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         "]], PolygonBox[CompressedData["
1:eJwlk81L1UEUhk+mZUREueper3k1jWaiLDBQqm30tWlRoEFgaaBpRbmobaUL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         "]]}]}, 
     {RGBColor[0.4131322436259041, 0.4488963156512762, 0.576209799274229], 
      EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxMnXW8lkXTgJ/nHA5dBxAQBGnO4QCCpAiK3d2+doBSBqIidisoKl0KEnZ9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         "]], PolygonBox[CompressedData["
1:eJwll32Q1lUVxy/Ps8Au7wvsAruwy8Iuz+9lE0RTAiFhQXSXN4EkaUGMJXEE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         "]]}]}, 
     {RGBColor[0.6353254892931215, 0.5269833987931098, 0.44559140565516175`], 
      EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxMnXe80GMXwK/u7JZ7q9veuzsysld2GkKiSPbeOzMaSpmVXfYWopAVsvdr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         "]], PolygonBox[CompressedData["
1:eJwtmGeUVtUVho8zwzTqDDgMHQZmvnPvhxXQgEoXKwgGEGkqRYIFFINYUEEj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         "]]}]}, 
     {RGBColor[0.8575187349603394, 0.6050704819349435, 0.3149730120360944], 
      EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNnXWYVdXXgMdAmCRGGMKRhrkz2KKIgWLrZwdgYqCoiIhid6ASJoKKBQZi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         "]], PolygonBox[CompressedData["
1:eJwtlnuQl1MYxw9j29ptu9lN2V21bW3ved+UmWwYQu5MJZlGSKtyGTFdNqUk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         "]]}]}, 
     {RGBColor[0.9287079841258078, 0.6917699603145193, 0.378994750790004], 
      EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNnHmcz9X3xz9okWXMYmaM2SxjzOfzGWuE+mWpRItWIUtZsrQQJQkl6zeh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         "]], PolygonBox[CompressedData["
1:eJwtlXtMl1UYx5+amqkoIBflGmDAeV9c5rxlQ61R2Jo3uim1hrYRZJksak6z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         "]]}]}, 
     {RGBColor[0.9642021128266413, 0.780505282066603, 0.4890265497625877], 
      EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNmnecVUWyxy855+EylzuRYWDvOayuCyqSJQcVAcMDVl1REBgFlEGyBHEF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         "]], 
        PolygonBox[CompressedData["
1:eJwllGtoznEUxw8ZxcbMYx52ecyzi///96DMSm2hMLcXy4hmb2wk27SJud+G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         "]]}]}, 
     {RGBColor[0.9996962415274746, 0.8692406038186865, 0.5990583487351713], 
      EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxdl32Q1lUVx+/CH+wKymvKsg/77D4vLPv7rRjVIE3FYrwTCSIiOsKmA0hN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         "]], 
        PolygonBox[CompressedData["
1:eJwlkjtI1WEYxh9PQYGW0EVS63g8l6TvOwlStFS0ZNBlKqGlRWkpKrtASkFB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         "]]}]}, 
     {RGBColor[1., 0.95, 0.75], EdgeForm[None], 
      GraphicsGroupBox[{
        PolygonBox[{{10100, 10200, 10201}, {9898, 9897, 9998}, {9999, 9998, 
         10099}, {11235, 9696, 11219}, {11253, 9897, 11252}, {9998, 9999, 
         9898}, {11152, 9292, 11121}, {11200, 9494, 11184}, {11218, 9595, 
         11201}, {10099, 10100, 9999}, {11266, 9897, 11253}, {11283, 9998, 
         11267}, {10100, 10099, 10200}, {11169, 9292, 11152}, {11299, 10099, 
         11284}, {11183, 9393, 11170}, {9897, 9898, 9797}}], 
        PolygonBox[{{11284, 10099, 9998, 11283}, {11170, 9393, 9292, 11169}, {
         11267, 9998, 9897, 11266}, {11236, 9797, 9696, 11235}, {11252, 9897, 
         9797, 11236}, {11201, 9595, 9494, 11200}, {11219, 9696, 9595, 
         11218}, {11184, 9494, 9393, 11183}, {11300, 10200, 10099, 
         11299}}]}]}}, {{}, 
     TagBox[
      TooltipBox[
       {GrayLevel[0], Opacity[0.5], CapForm["Butt"], 
        LineBox[{11121, 11152, 11169, 11170, 11183, 11184, 11200, 11201, 
         11218, 11219, 11235, 11236, 11252, 11253, 11266, 11267, 11283, 11284,
          11299, 11300}]},
       "1.2`"],
      Annotation[#, 1.2, "Tooltip"]& ], 
     TagBox[
      TooltipBox[
       {GrayLevel[0], Opacity[0.5], CapForm["Butt"], LineBox[CompressedData["
1:eJwN0LEywgEcAODfv5W7OhuLWAhZtLFyV5PDXWfUxqA2JgbNDNrJXnc8gLyA
Ky8g1xYtLmv4hu8FvoVKde80iYhdXnMR7wz5ZMwPyUpEijQZ5smSZ51NtihS
oswhx5xwxjlX1LmlQZMHHnmiwwtdevT54IsRE36ZWo2YZpY5llhmgwLb7LDP
AUdUqFLjgkuuueGOe1q0eaZDlzf6DPhmzB/Jmg9myLLIP4TRNxY=
         "]]},
       "1.1`"],
      Annotation[#, 1.1, "Tooltip"]& ], 
     TagBox[
      TooltipBox[
       {GrayLevel[0], Opacity[0.5], CapForm["Butt"], LineBox[CompressedData["
1:eJwNwz0oBGAAANDPpISUxSAlpbgrZSELg7BdLiks3CA/xUCSn5Iiy1GKRbgN
UW49pNh0RwYmP9nIIhYL8V69ysR4fCwvhDBtQ00IjTbbYrsdxuy0x14HTDjs
iBNOOuucSy6bdNUNN9015Z77Hps244kXXpo15533Pvrkq29++uWvfxbWhlBs
uRVGjNpok2122GW3gw456ZQLLrrmutumPDTtqedeeeODz7767rc/5kdCKLDU
Mqusts56m201Ztw++x11zBnnXTHpljseeGTGM7PmvPbWJ1/88MtfQzSEIkus
sNJ/aiZUJw==
         "]]},
       "1"],
      Annotation[#, 1, "Tooltip"]& ], 
     TagBox[
      TooltipBox[
       {GrayLevel[0], Opacity[0.5], CapForm["Butt"], LineBox[CompressedData["
1:eJwNwz1IFGAAANDPQdFKwR9wyJATwfMvWhQajBqsSVFBMhBJByuIskCQpEGI
QGoRApWkhkSxQAcHTRBaIlQ6BQdPjdSgUkG8guggunoPXqTrbsudtBDCuGvR
EFb9aMxN42645Z677vjFA/f97qE/THjsT3+b9J8p/xrKQ0g3w5OeMt88cy3w
tEVGLLHMqNWetcZa67xgvZdtsNGrttnhdbu9aY/37fOBAz5y0KcO+cxRX/jK
Cd847azzLvrO9y675rpxt93zm0cmTJoyqyKEbAs9Y5kV1njeS16x2VY7veE9
e33ogE8c8rkvnXLGty76wRU3jLvpJ7+67y+TpleGkGmuBUYstdpz1nnRBpu8
Zru3vG2f/T520GFHHHXMSV8754JLxtz2s0cm/GPKE1Uh5Fhksf8BRc90YA==

         "]]},
       "0.9`"],
      Annotation[#, 0.9, "Tooltip"]& ], 
     TagBox[
      TooltipBox[
       {GrayLevel[0], Opacity[0.5], CapForm["Butt"], LineBox[CompressedData["
1:eJwV0ltozQEAwOH/CquFpJaRlUu0zeLBvUTkgRJakSir7UGRzYY4ZjOGM9cZ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         "]]},
       "0.8`"],
      Annotation[#, 0.8, "Tooltip"]& ], 
     TagBox[
      TooltipBox[
       {GrayLevel[0], Opacity[0.5], CapForm["Butt"], LineBox[CompressedData["
1:eJwV1FdsDwgYAPA/yilOudN/VW2KDqPGoWq19ji0embN1hnFJRe8CKeJRGpE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         "]]},
       "0.7`"],
      Annotation[#, 0.7, "Tooltip"]& ], 
     TagBox[
      TooltipBox[
       {GrayLevel[0], Opacity[0.5], CapForm["Butt"], LineBox[CompressedData["
1:eJwNxTkoLnAAAPD/50MkyTERciyOcgyvEKueazBQjkWOwTU4Xu+trqyOeLNr
53u9Wa5Z7lEWJIWULPyGX7+CvvH2sUgI4RfxpSG8l4SQ4CgZpJNJFoUUUEQx
FVRSRTX1NNBMC6200UU3PfQyzAijjPGbP8wxzwKLrLLGOn/ZYIttdojxn30O
OOSIU84454Jb7njmhVfe+CJSFkIcUVJJI4dc8sinhDJ+UEMtdTTykyaa6aCT
fgYYZIgJJplimhlmWWKZFVbZZItd9ojxj2NOuOSKa26454FHnvjgk8TyEJJI
JoVsvgEbXUzU
         "]]},
       "0.6`"],
      Annotation[#, 0.6, "Tooltip"]& ], {}, {}}}],
  AspectRatio->1,
  AxesOrigin->{Automatic, Automatic},
  DisplayFunction->Identity,
  Frame->True,
  FrameLabel->{{
     FormBox[
     "\"resistance level (\\!\\(\\*SubscriptBox[\\(r\\), \\(R\\)]\\))\"", 
      TraditionalForm], None}, {
     FormBox["\"antibiotic exposure prevalence (a)\"", TraditionalForm], 
     None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{"DefaultBoundaryStyle" -> Automatic, "GridLinesInFront" -> True},
  PlotRange->{{0., 1.}, {0., 1.}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.02]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.823771589523003*^9, {3.823771692351569*^9, 3.823771695446314*^9}, 
   3.8237718273374367`*^9, 3.823771871529622*^9, 3.823771934332864*^9, 
   3.823772102063424*^9, 3.8237723464465227`*^9, 3.82377269076338*^9, 
   3.82377282378821*^9, {3.823772877992613*^9, 3.8237729053044024`*^9}, 
   3.823773253517157*^9, 3.823846813275773*^9, 3.82386800278062*^9, 
   3.8239548285456944`*^9, 3.824357503244787*^9, 3.824357578453485*^9, 
   3.824358720347803*^9, 3.824358935269087*^9, 3.83338484598389*^9},
 CellLabel->"Out[99]=",ImageCache->GraphicsData["CompressedBitmap", "\<\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\
\>"],ExpressionUUID->"408cbc1c-06a9-4b76-8f13-4c4873943c5e"]
}, Open  ]]
}, Open  ]]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["microbiome competition (1 strain)", "Section",
 CellChangeTimes->{{3.823751591875292*^9, 
  3.8237515996708593`*^9}},ExpressionUUID->"b216a0c7-5735-4e14-afa4-\
c201a3f5e3de"],

Cell[BoxData[
 RowBox[{"Remove", "[", "\"\<Global`*\>\"", "]"}]], "Input",
 CellChangeTimes->{{3.8238462431712217`*^9, 3.8238462754705257`*^9}, 
   3.823846329287984*^9, {3.8238595430314903`*^9, 3.823859543406163*^9}},
 CellLabel->
  "In[100]:=",ExpressionUUID->"d531dbec-5a0a-440a-be1d-c0cb41c6fca3"],

Cell[CellGroupData[{

Cell["assumptions", "Subsection",
 CellChangeTimes->{{3.823752043800378*^9, 
  3.8237520448083344`*^9}},ExpressionUUID->"f9e90a27-2ff6-4350-ac76-\
a6d45518275f"],

Cell[CellGroupData[{

Cell["acquisition", "Subsubsection",
 CellChangeTimes->{{3.823752213230814*^9, 
  3.823752222968005*^9}},ExpressionUUID->"d3de7a52-1443-4b7a-9b33-\
07bc08a4d3a0"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"\[Lambda]", "=", 
   RowBox[{"\[Beta]", " ", 
    RowBox[{"(", 
     RowBox[{
      SubscriptBox["X", "e"], "+", 
      SubscriptBox["X", "d"]}], ")"}]}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["\[Lambda]", "\[Epsilon]"], "=", 
   RowBox[{
    RowBox[{"(", 
     RowBox[{"1", "-", "\[Epsilon]"}], ")"}], "\[Beta]", " ", 
    RowBox[{"(", 
     RowBox[{
      SubscriptBox["X", "e"], "+", 
      SubscriptBox["X", "d"]}], ")"}]}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"\[Alpha]", "=", 
   RowBox[{"\[Alpha]\[Alpha]", 
    RowBox[{"(", 
     RowBox[{"1", "-", 
      RowBox[{"a", 
       RowBox[{"(", 
        RowBox[{"1", "-", 
         SubscriptBox["r", "R"]}], ")"}]}]}], ")"}]}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["\[Alpha]", "\[Phi]"], "=", 
   RowBox[{"\[Phi]", " ", "\[Alpha]\[Alpha]", 
    RowBox[{"(", 
     RowBox[{"1", "-", 
      RowBox[{"a", 
       RowBox[{"(", 
        RowBox[{"1", "-", 
         SubscriptBox["r", "R"]}], ")"}]}]}], ")"}]}]}], ";"}]}], "Input",
 CellChangeTimes->{{3.823752249173657*^9, 3.823752255585662*^9}, 
   3.823753151896769*^9, {3.823756759514539*^9, 3.823756798837143*^9}, {
   3.8237703888299007`*^9, 3.823770389643333*^9}, {3.8238394871180563`*^9, 
   3.823839513394608*^9}, {3.8238426693912897`*^9, 3.823842685867828*^9}, {
   3.82385578923438*^9, 3.82385580534171*^9}, {3.824358950313764*^9, 
   3.8243589505322733`*^9}, {3.8333849486911182`*^9, 3.833384950770143*^9}},
 CellLabel->
  "In[101]:=",ExpressionUUID->"656acb3b-fde5-484f-a645-b46667c01a9c"]
}, Open  ]],

Cell[CellGroupData[{

Cell["fitness costs of resistance", "Subsubsection",
 CellChangeTimes->{{3.8237533994942493`*^9, 
  3.823753407093606*^9}},ExpressionUUID->"9466d7ae-b95b-4058-8147-\
87a01b331259"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"\[Gamma]", "=", 
   RowBox[{"\[Gamma]\[Gamma]", " ", 
    RowBox[{"(", 
     RowBox[{"1", "+", "c"}], ")"}]}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["\[Gamma]", "\[Eta]"], "=", 
   RowBox[{
    RowBox[{"(", 
     RowBox[{"1", "-", "\[Eta]"}], ")"}], "\[Gamma]\[Gamma]", " ", 
    RowBox[{"(", 
     RowBox[{"1", "+", "c"}], ")"}]}]}], ";"}]}], "Input",
 CellChangeTimes->{{3.823753409310162*^9, 3.82375344907831*^9}, {
  3.8237568901233997`*^9, 3.823756901600061*^9}, {3.82383955289764*^9, 
  3.8238395737698107`*^9}},
 CellLabel->
  "In[105]:=",ExpressionUUID->"34e89a70-61de-44ad-90d8-aa264b783e31"]
}, Open  ]],

Cell[CellGroupData[{

Cell["antibiotics", "Subsubsection",
 CellChangeTimes->{{3.823752213230814*^9, 3.823752222968005*^9}, {
  3.823752353061371*^9, 
  3.82375235387294*^9}},ExpressionUUID->"1806b777-9663-4fa2-a1c9-\
480d30458568"],

Cell[BoxData[{
 RowBox[{
  RowBox[{
   SubscriptBox["\[Sigma]", "X"], "=", 
   RowBox[{"a", 
    RowBox[{"(", 
     RowBox[{"1", "-", 
      SubscriptBox["r", "R"]}], ")"}], 
    SubscriptBox["\[Theta]", "X"]}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["\[Sigma]", "m"], "=", 
   RowBox[{"a", " ", 
    SubscriptBox["\[Theta]", "m"]}]}], ";"}]}], "Input",
 CellChangeTimes->{{3.823752359810463*^9, 3.823752383057992*^9}, 
   3.823753156115597*^9, {3.823755565580757*^9, 3.8237555664314203`*^9}, {
   3.8237569669071712`*^9, 3.823756977402158*^9}, {3.823839582476947*^9, 
   3.823839610476357*^9}, {3.833384957493258*^9, 3.833384957808373*^9}},
 CellLabel->
  "In[107]:=",ExpressionUUID->"13867fd9-44e4-4c23-b19d-552563363039"]
}, Open  ]],

Cell[CellGroupData[{

Cell["microbiome recovery", "Subsubsection",
 CellChangeTimes->{{3.823840194641111*^9, 
  3.8238401963017683`*^9}},ExpressionUUID->"4a62d9e2-c8c4-40b8-8fb4-\
23cf1b0b7262"],

Cell[BoxData[
 RowBox[{
  RowBox[{"\[Delta]", "=", 
   RowBox[{"\[Delta]\[Delta]", 
    RowBox[{"(", 
     RowBox[{"1", "-", "a"}], ")"}]}]}], ";"}]], "Input",
 CellChangeTimes->{{3.823840198583271*^9, 3.823840207339902*^9}, 
   3.823841328951172*^9},
 CellLabel->
  "In[109]:=",ExpressionUUID->"536a0687-e361-41df-9aac-0bd7a20f7b74"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["ODEs", "Subsection",
 CellChangeTimes->{{3.823752049900632*^9, 
  3.823752050279518*^9}},ExpressionUUID->"3819c4d1-e463-4f15-b073-\
a1fe519e6336"],

Cell[CellGroupData[{

Cell["baseline", "Subsubsection",
 CellChangeTimes->{{3.823772192830427*^9, 
  3.823772193343028*^9}},ExpressionUUID->"e38a3acb-7de2-4ae6-a91b-\
5a4d39b60983"],

Cell[BoxData[{
 RowBox[{
  RowBox[{
   SubscriptBox["dS", "e"], " ", "=", " ", 
   RowBox[{
    RowBox[{
     RowBox[{"(", 
      RowBox[{"1", "-", 
       RowBox[{
        SubscriptBox["f", "X"], " ", 
        SubscriptBox["f", "R"]}]}], ")"}], 
     RowBox[{"(", 
      RowBox[{"1", "-", 
       SubscriptBox["f", "d"]}], ")"}], "\[Mu]"}], "-", 
    RowBox[{
     SubscriptBox["S", "e"], 
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["\[Lambda]", "\[Epsilon]"], "+", "\[Alpha]", "+", 
       SubscriptBox["\[Sigma]", "m"], "+", "\[Mu]"}], ")"}]}], "+", 
    RowBox[{
     SubscriptBox["S", "d"], "\[Delta]"}], "+", 
    RowBox[{
     SubscriptBox["X", "e"], 
     RowBox[{"(", 
      RowBox[{"\[Gamma]", "+", 
       SubscriptBox["\[Sigma]", "X"]}], ")"}]}]}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["dS", "d"], "=", 
   RowBox[{
    RowBox[{
     RowBox[{"(", 
      RowBox[{"1", "-", 
       SubscriptBox["f", 
        RowBox[{"X", " ", 
         SubscriptBox["f", "R"]}]]}], ")"}], 
     SubscriptBox["f", "d"], "\[Mu]"}], "+", 
    RowBox[{
     SubscriptBox["S", "e"], 
     SubscriptBox["\[Sigma]", "m"]}], "-", 
    RowBox[{
     SubscriptBox["S", "d"], 
     RowBox[{"(", 
      RowBox[{"\[Lambda]", "+", 
       SubscriptBox["\[Alpha]", "\[Phi]"], "+", "\[Delta]", "+", "\[Mu]"}], 
      ")"}]}], "+", 
    RowBox[{
     SubscriptBox["X", "d"], 
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["\[Gamma]", "\[Eta]"], "+", 
       SubscriptBox["\[Sigma]", "X"]}], ")"}]}]}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["dX", "e"], " ", "=", "  ", 
   RowBox[{
    RowBox[{
     SubscriptBox["f", "X"], " ", 
     SubscriptBox["f", "R"], 
     RowBox[{"(", 
      RowBox[{"1", "-", 
       SubscriptBox["f", "d"]}], ")"}], " ", "\[Mu]"}], "+", 
    RowBox[{
     SubscriptBox["S", "e"], 
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["\[Lambda]", "\[Epsilon]"], "+", "\[Alpha]"}], ")"}]}], 
    "-", 
    RowBox[{
     SubscriptBox["X", "e"], 
     RowBox[{"(", 
      RowBox[{"\[Gamma]", "+", 
       SubscriptBox["\[Sigma]", "m"], "+", 
       SubscriptBox["\[Sigma]", "X"], "+", "\[Mu]"}], ")"}]}], "+", 
    RowBox[{
     SubscriptBox["X", "d"], "\[Delta]"}]}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["dX", "d"], " ", "=", "  ", 
   RowBox[{
    RowBox[{
     SubscriptBox["f", "X"], " ", 
     SubscriptBox["f", "R"], " ", 
     SubscriptBox["f", "d"], " ", "\[Mu]"}], "+", 
    RowBox[{
     SubscriptBox["S", "d"], 
     RowBox[{"(", 
      RowBox[{"\[Lambda]", "+", 
       SubscriptBox["\[Alpha]", "\[Phi]"]}], ")"}]}], "+", 
    RowBox[{
     SubscriptBox["X", "e"], 
     SubscriptBox["\[Sigma]", "m"]}], "-", 
    RowBox[{
     SubscriptBox["X", "d"], 
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["\[Gamma]", "\[Eta]"], "+", "\[Delta]", "+", 
       SubscriptBox["\[Sigma]", "X"], "+", "\[Mu]"}], ")"}]}]}]}], 
  ";"}]}], "Input",
 CellChangeTimes->CompressedData["
1:eJxTTMoPSmViYGAQBWIQneRr6m9V+8Yx60BFLIhmKrRMAtH33H2zQbTYr9fl
INpkj3sFiOY4I1MPokWywsF0WcW7H2D569t+gWibaX9eWgPpqdecX4Ho6/vN
1WyANF9ZGJheVJ//HES3bPD7CqLD/RMf2QLpsN8vwfStsLY0OyC9z2puJoie
9UjONBVIty57CqbXpYbagOiY4Af2IHoF/9MsED3bcmMJiFYKar8Mov99FLoF
ouW2ZzwE0WcaJj0B0Zd2db4G63/Z/B5Ez9hb/B1EG4RUMKUB6RIGZnYQXbBc
CUwHqAVsBtGqZyS2gOgrn01e5gFp75LpYFp8pwHDrP43jve3rmQE0QCyW6pQ

  "],
 CellLabel->
  "In[118]:=",ExpressionUUID->"ad7df169-3706-4fee-bafa-3ca8a85cd957"]
}, Open  ]],

Cell[CellGroupData[{

Cell["invasion", "Subsubsection",
 CellChangeTimes->{{3.823772192830427*^9, 3.823772193343028*^9}, {
  3.823856420306364*^9, 
  3.823856420838005*^9}},ExpressionUUID->"ce16c7d3-ea17-4079-885b-\
446839e278ba"],

Cell[BoxData[
 RowBox[{"(*", 
  RowBox[{
   RowBox[{"no", " ", "pathogen", " ", "input"}], ",", " ", 
   RowBox[{
   "endogenous", " ", "acquisition", " ", "depends", " ", "on", " ", 
    "prevalence"}]}], "*)"}]], "Input",
 CellChangeTimes->{{3.8238564394807987`*^9, 3.823856449159902*^9}, {
  3.823867511663638*^9, 
  3.8238675126844053`*^9}},ExpressionUUID->"59d719ef-7381-4392-b241-\
fe89701ae1c8"],

Cell[BoxData[{
 RowBox[{
  RowBox[{
   SubscriptBox["dS", "eDFE"], " ", "=", " ", 
   RowBox[{
    RowBox[{
     RowBox[{"(", 
      RowBox[{"1", "-", 
       SubscriptBox["f", "d"]}], ")"}], "\[Mu]"}], "-", 
    RowBox[{
     SubscriptBox["S", "e"], 
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["\[Lambda]", "\[Epsilon]"], "+", 
       RowBox[{"\[Alpha]", 
        RowBox[{"(", 
         RowBox[{
          SubscriptBox["X", "e"], "+", 
          SubscriptBox["X", "d"]}], ")"}]}], "+", 
       SubscriptBox["\[Sigma]", "m"], "+", "\[Mu]"}], ")"}]}], "+", 
    RowBox[{
     SubscriptBox["S", "d"], "\[Delta]"}], "+", 
    RowBox[{
     SubscriptBox["X", "e"], 
     RowBox[{"(", 
      RowBox[{"\[Gamma]", "+", 
       SubscriptBox["\[Sigma]", "X"]}], ")"}]}]}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["dS", "dDFE"], "=", 
   RowBox[{
    RowBox[{
     SubscriptBox["f", "d"], "\[Mu]"}], "+", 
    RowBox[{
     SubscriptBox["S", "e"], 
     SubscriptBox["\[Sigma]", "m"]}], "-", 
    RowBox[{
     SubscriptBox["S", "d"], 
     RowBox[{"(", 
      RowBox[{"\[Lambda]", "+", 
       RowBox[{
        SubscriptBox["\[Alpha]", "\[Phi]"], 
        RowBox[{"(", 
         RowBox[{
          SubscriptBox["X", "e"], "+", 
          SubscriptBox["X", "d"]}], ")"}]}], "+", "\[Delta]", "+", "\[Mu]"}], 
      ")"}]}], "+", 
    RowBox[{
     SubscriptBox["X", "d"], 
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["\[Gamma]", "\[Eta]"], "+", 
       SubscriptBox["\[Sigma]", "X"]}], ")"}]}]}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["dX", "eDFE"], " ", "=", " ", 
   RowBox[{
    RowBox[{
     SubscriptBox["S", "e"], 
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["\[Lambda]", "\[Epsilon]"], "+", 
       RowBox[{"\[Alpha]", "*", 
        RowBox[{"(", 
         RowBox[{
          SubscriptBox["X", "e"], "+", 
          SubscriptBox["X", "d"]}], ")"}]}]}], ")"}]}], "-", 
    RowBox[{
     SubscriptBox["X", "e"], 
     RowBox[{"(", 
      RowBox[{"\[Gamma]", "+", 
       SubscriptBox["\[Sigma]", "m"], "+", 
       SubscriptBox["\[Sigma]", "X"], "+", "\[Mu]"}], ")"}]}], "+", 
    RowBox[{
     SubscriptBox["X", "d"], "\[Delta]"}]}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   SubscriptBox["dX", "dDFE"], " ", "=", "  ", 
   RowBox[{
    RowBox[{
     SubscriptBox["S", "d"], 
     RowBox[{"(", 
      RowBox[{"\[Lambda]", "+", 
       RowBox[{
        SubscriptBox["\[Alpha]", "\[Phi]"], "*", 
        RowBox[{"(", 
         RowBox[{
          SubscriptBox["X", "e"], "+", 
          SubscriptBox["X", "d"]}], ")"}]}]}], ")"}]}], "+", 
    RowBox[{
     SubscriptBox["X", "e"], 
     SubscriptBox["\[Sigma]", "m"]}], "-", 
    RowBox[{
     SubscriptBox["X", "d"], 
     RowBox[{"(", 
      RowBox[{
       SubscriptBox["\[Gamma]", "\[Eta]"], "+", "\[Delta]", "+", 
       SubscriptBox["\[Sigma]", "X"], "+", "\[Mu]"}], ")"}]}]}]}], 
  ";"}]}], "Input",
 CellChangeTimes->CompressedData["
1:eJxTTMoPSmViYGAQB2IQneRr6m9V+8Yx60BFLIhmKrRMAtH33H2zQbTYr9fl
INpkj3sFiOY4I1MPokWywsF0WcW7H2D569t+gWibaX9eWgPpqdecX4Ho6/vN
1WyANF9ZGJheVJ//HES3bPD7CqLD/RMf2QLpsN8vwfStsLY0OyC9z2puJoie
9UjONBVIty57CqbXpYbagOiY4Af2IHoF/9MsED3bcmMJiFYKar8Mov99FLoF
ouW2ZzwE0WcaJj0B0Zd2db4G63/Z/B5Ez9hb/B1EG4RUMKUB6RIGZnYQXbBc
CUwHqAVsBtGqZyS2gOiM8oLUXJA+tt1pIPq206xSEP0kY18FiL7jUlyeB6TZ
Tj+tANFRxwRegeht5xTBNADfBLrT
  "],
 CellLabel->
  "In[122]:=",ExpressionUUID->"d9f8c0e5-9ea7-409b-8c22-d0ddc322a3ed"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["parameter values", "Subsection",
 CellChangeTimes->{{3.823752927643627*^9, 
  3.8237529290310783`*^9}},ExpressionUUID->"af194a26-2a29-4025-ab5c-\
d5e8c73914d2"],

Cell[BoxData[
 RowBox[{"(*", 
  RowBox[{
   RowBox[{"excludes", " ", "a", " ", "and", " ", "r"}], ",", " ", 
   RowBox[{"as", " ", "we", " ", "evaluate", " ", "over", " ", "these"}]}], 
  "*)"}]], "Input",
 CellChangeTimes->{{3.8237546116895323`*^9, 
  3.823754619808728*^9}},ExpressionUUID->"13dd00e3-17c8-4451-ae07-\
f6438df859d6"],

Cell[CellGroupData[{

Cell["consider three strengths of microbiome-pathogen interactions", \
"Subsubsection",
 CellChangeTimes->{{3.82377229898209*^9, 3.823772307334497*^9}, {
  3.8237727307366*^9, 3.823772740663211*^9}, {3.823841547810145*^9, 
  3.823841563864026*^9}, {3.82384245234577*^9, 3.823842469206156*^9}, {
  3.823968658582264*^9, 
  3.823968660735873*^9}},ExpressionUUID->"b951a97c-7446-4cbe-9c93-\
0a9293e6117d"],

Cell[BoxData[
 RowBox[{
  RowBox[{"paramsMicrobiome", " ", "=", " ", 
   RowBox[{"{", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{"\[Beta]", "\[Rule]", "0.2"}], ",", 
     RowBox[{"\[Alpha]\[Alpha]", "\[Rule]", "0.01"}], ",", 
     RowBox[{"\[Gamma]\[Gamma]", "\[Rule]", "0.03"}], ",", 
     RowBox[{"c", "\[Rule]", "1"}], ",", "\[IndentingNewLine]", 
     RowBox[{"\[Mu]", "\[Rule]", "0.1"}], ",", 
     RowBox[{
      SubscriptBox["f", "X"], "\[Rule]", "0.1"}], ",", 
     RowBox[{
      SubscriptBox["f", "R"], "\[Rule]", "0.5"}], ",", 
     RowBox[{
      SubscriptBox["f", "d"], "\[Rule]", "0"}], ",", "\[IndentingNewLine]", 
     RowBox[{
      SubscriptBox["\[Theta]", "X"], "\[Rule]", "0.2"}], ",", 
     RowBox[{
      SubscriptBox["\[Theta]", "m"], "\[Rule]", "1"}], ",", 
     RowBox[{"\[Delta]\[Delta]", "\[Rule]", 
      RowBox[{"1", "/", "7"}]}]}], "\[IndentingNewLine]", "}"}]}], 
  ";"}]], "Input",
 CellChangeTimes->CompressedData["
1:eJxTTMoPSmViYGCQBGIQnXFa9a5V7RvHi4raYLog+vdDEP1io9ELEB0gdvo3
iN48Q+YPiK5avVPSGkgfS1CXAtE6M79NAdG7eRmmguhpqjvmgOh1+m/AdN2p
nUtA9JWnrUtB9J1r19eDaKXKB2D6yY83ZjZAmsn2K5i+0iDdAKLD3us3g+gZ
8dknbIH0jmk/ToLoTcqzLoPoNL2GKyB6z08LCzsgzfJE3xJEr2/fZe4CpLXZ
j4LpCqc9DiD6mf1hMK26ODkXRDOek8kD0U0pajJpQDr2D6sCiC7b+tgMRMc0
ddmC6FmTJziBaIYPd93TwO4XCgXRERfPgmmLSc1dIHrO7Ilgep/plT4QLXTq
CZhuuHH+7AwgbXd34jkQPaVJu2QuyB8LzcC0jb4e66x+YHjrPWED0QDv68yB

  "],
 CellLabel->
  "In[156]:=",ExpressionUUID->"23ec4454-5ce0-4b98-8cdf-f5ae72762bf8"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"paramsMicrobiome\[Epsilon]1", " ", "=", " ", 
   RowBox[{"Flatten", "[", 
    RowBox[{"Append", "[", 
     RowBox[{"paramsMicrobiome", ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"\[Epsilon]", "\[Rule]", "0.2"}], ",", 
        RowBox[{"\[Eta]", "\[Rule]", "0"}], ",", 
        RowBox[{"\[Phi]", "\[Rule]", "1"}]}], "}"}]}], "]"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"paramsMicrobiome\[Epsilon]2", " ", "=", " ", 
   RowBox[{"Flatten", "[", 
    RowBox[{"Append", "[", 
     RowBox[{"paramsMicrobiome", ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"\[Epsilon]", "\[Rule]", "0.5"}], ",", 
        RowBox[{"\[Eta]", "\[Rule]", "0"}], ",", 
        RowBox[{"\[Phi]", "\[Rule]", "1"}]}], "}"}]}], "]"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"paramsMicrobiome\[Epsilon]3", " ", "=", " ", 
   RowBox[{"Flatten", "[", 
    RowBox[{"Append", "[", 
     RowBox[{"paramsMicrobiome", ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"\[Epsilon]", "\[Rule]", "0.8"}], ",", 
        RowBox[{"\[Eta]", "\[Rule]", "0"}], ",", 
        RowBox[{"\[Phi]", "\[Rule]", "1"}]}], "}"}]}], "]"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"paramsMicrobiome\[Eta]1", " ", "=", " ", 
   RowBox[{"Flatten", "[", 
    RowBox[{"Append", "[", 
     RowBox[{"paramsMicrobiome", ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"\[Epsilon]", "\[Rule]", "0"}], ",", 
        RowBox[{"\[Eta]", "\[Rule]", "0.2"}], ",", 
        RowBox[{"\[Phi]", "\[Rule]", "1"}]}], "}"}]}], "]"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"paramsMicrobiome\[Eta]2", " ", "=", " ", 
   RowBox[{"Flatten", "[", 
    RowBox[{"Append", "[", 
     RowBox[{"paramsMicrobiome", ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"\[Epsilon]", "\[Rule]", "0"}], ",", 
        RowBox[{"\[Eta]", "\[Rule]", "0.5"}], ",", 
        RowBox[{"\[Phi]", "\[Rule]", "1"}]}], "}"}]}], "]"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"paramsMicrobiome\[Eta]3", " ", "=", " ", 
   RowBox[{"Flatten", "[", 
    RowBox[{"Append", "[", 
     RowBox[{"paramsMicrobiome", ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"\[Epsilon]", "\[Rule]", "0"}], ",", 
        RowBox[{"\[Eta]", "\[Rule]", "0.8"}], ",", 
        RowBox[{"\[Phi]", "\[Rule]", "1"}]}], "}"}]}], "]"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"paramsMicrobiome\[Phi]1", " ", "=", " ", 
   RowBox[{"Flatten", "[", 
    RowBox[{"Append", "[", 
     RowBox[{"paramsMicrobiome", ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"\[Epsilon]", "\[Rule]", "0"}], ",", 
        RowBox[{"\[Eta]", "\[Rule]", "0"}], ",", 
        RowBox[{"\[Phi]", "\[Rule]", "2"}]}], "}"}]}], "]"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"paramsMicrobiome\[Phi]2", " ", "=", " ", 
   RowBox[{"Flatten", "[", 
    RowBox[{"Append", "[", 
     RowBox[{"paramsMicrobiome", ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"\[Epsilon]", "\[Rule]", "0"}], ",", 
        RowBox[{"\[Eta]", "\[Rule]", "0"}], ",", 
        RowBox[{"\[Phi]", "\[Rule]", "5"}]}], "}"}]}], "]"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"paramsMicrobiome\[Phi]3", " ", "=", " ", 
   RowBox[{"Flatten", "[", 
    RowBox[{"Append", "[", 
     RowBox[{"paramsMicrobiome", ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"\[Epsilon]", "\[Rule]", "0"}], ",", 
        RowBox[{"\[Eta]", "\[Rule]", "0"}], ",", 
        RowBox[{"\[Phi]", "\[Rule]", "8"}]}], "}"}]}], "]"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"paramsMicrobiomeMixed", " ", "=", " ", 
   RowBox[{"Flatten", "[", 
    RowBox[{"Append", "[", 
     RowBox[{"paramsMicrobiome", ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"\[Epsilon]", "\[Rule]", "0.5"}], ",", 
        RowBox[{"\[Eta]", "\[Rule]", "0.5"}], ",", 
        RowBox[{"\[Phi]", "\[Rule]", "5"}]}], "}"}]}], "]"}], "]"}]}], 
  ";"}]}], "Input",
 CellChangeTimes->{{3.8238419706111517`*^9, 3.8238419918792458`*^9}, {
  3.823842385481748*^9, 3.8238424490729713`*^9}, {3.823844745692865*^9, 
  3.823844768137208*^9}, {3.823844849240975*^9, 3.823844934224057*^9}, {
  3.8238640860719213`*^9, 3.8238641005586767`*^9}},
 CellLabel->
  "In[146]:=",ExpressionUUID->"e6dc6485-6852-4fd3-a676-b720d81d7bf0"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["prevalence", "Subsection",
 CellChangeTimes->{{3.823753143503159*^9, 
  3.82375314424407*^9}},ExpressionUUID->"6350fcff-c5ea-44b3-a355-\
cff2d332d756"],

Cell[CellGroupData[{

Cell[TextData[{
 "evaluated for a \[Element] {0,1}, ",
 Cell[BoxData[
  FormBox[
   SubscriptBox["r", "R"], TraditionalForm]],ExpressionUUID->
  "fb8a3b43-15bb-4593-b49c-66d5a0160afd"],
 " = 0.8 for different interactions and interaction strengths"
}], "Subsubsection",
 CellChangeTimes->{{3.823753271371581*^9, 3.823753313314786*^9}, {
  3.8237554380773153`*^9, 3.823755445358658*^9}, {3.823759852089511*^9, 
  3.823759852672833*^9}, {3.8238449948423357`*^9, 
  3.823844999415462*^9}},ExpressionUUID->"af7e3672-8146-4b0e-906a-\
d6023410758c"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"eqba\[Epsilon]1", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Epsilon]1"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "0.8"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Epsilon]2", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Epsilon]2"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "0.8"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Epsilon]3", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Epsilon]3"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "0.8"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Eta]1", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Eta]1"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "0.8"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Eta]2", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Eta]2"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "0.8"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Eta]3", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Eta]3"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "0.8"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Phi]1", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Phi]1"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "0.8"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Phi]2", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Phi]2"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "0.8"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Phi]3", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Phi]3"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "0.8"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]"}], "Input",
 CellChangeTimes->{{3.823842541306411*^9, 3.823842547406849*^9}, {
  3.823842747058704*^9, 3.823842747258068*^9}, {3.8238427963892107`*^9, 
  3.823842865999825*^9}, {3.823842901940381*^9, 3.82384298021946*^9}, {
  3.8238449428771*^9, 3.823845049186084*^9}, {3.824359037212798*^9, 
  3.8243590788275137`*^9}, {3.824359125932994*^9, 3.824359181320882*^9}, {
  3.8333850343787937`*^9, 3.8333850811771812`*^9}},
 CellLabel->
  "In[157]:=",ExpressionUUID->"8a920f30-100e-42cc-b873-a9acef42877e"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"prevalence\[Epsilon]1", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Epsilon]1", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Epsilon]1", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Epsilon]1", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], ";", 
  RowBox[{"prevalence\[Epsilon]2", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Epsilon]2", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Epsilon]2", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Epsilon]2", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], ";", 
  RowBox[{"prevalence\[Epsilon]3", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Epsilon]3", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Epsilon]3", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Epsilon]3", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"prevalence\[Eta]1", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Eta]1", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Eta]1", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Eta]1", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], ";", 
  RowBox[{"prevalence\[Eta]2", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Eta]2", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Eta]2", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Eta]2", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], ";", 
  RowBox[{"prevalence\[Eta]3", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Eta]3", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Eta]3", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Eta]3", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"prevalence\[Phi]1", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Phi]1", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Phi]1", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Phi]1", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], ";", 
  RowBox[{"prevalence\[Phi]2", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Phi]2", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Phi]2", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Phi]2", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], ";", 
  RowBox[{"prevalence\[Phi]3", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Phi]3", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Phi]3", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Phi]3", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], 
  ";"}]}], "Input",
 CellChangeTimes->{{3.823754934688197*^9, 3.823754962783456*^9}, {
   3.8237549934437647`*^9, 3.8237550181068087`*^9}, {3.8237551204557037`*^9, 
   3.82375513518036*^9}, {3.823761222814671*^9, 3.823761241150538*^9}, {
   3.823761304180417*^9, 3.823761312789419*^9}, {3.823842987083249*^9, 
   3.823842989394579*^9}, {3.823844645218247*^9, 3.823844694434575*^9}, {
   3.823845056828637*^9, 3.823845109974387*^9}, {3.8238451422239227`*^9, 
   3.823845164599238*^9}, {3.823845761828106*^9, 3.823845875261421*^9}, 
   3.824359209430606*^9},
 CellLabel->
  "In[166]:=",ExpressionUUID->"80934030-4b77-449c-bb36-68fde8a3decb"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListLinePlot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
    "prevalence\[Epsilon]1", ",", "prevalence\[Epsilon]2", ",", 
     "prevalence\[Epsilon]3"}], "}"}], ",", " ", 
   RowBox[{"PlotLegends", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<\[Epsilon]=0.2\>\"", ",", "\"\<\[Epsilon]=0.5\>\"", ",", 
      "\"\<\[Epsilon]=0.8\>\""}], "}"}]}], ",", 
   RowBox[{
   "PlotLabel", "\[Rule]", "\"\<Colonization resistance (r=0.8)\>\""}], ",", 
   RowBox[{"AxesLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<antibiotic exposure prevalence (a)\>\"", ",", " ", 
      "\"\<colonization prevalence (\!\(\*SubscriptBox[\(X\), \
\(e\)]\)+\!\(\*SubscriptBox[\(X\), \(d\)]\))\>\""}], "}"}]}], ",", 
   RowBox[{"PlotRange", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"0", ",", "0.4"}], "}"}]}], ",", 
   RowBox[{"Filling", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"1", "\[Rule]", 
      RowBox[{"{", "3", "}"}]}], "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.823755021925704*^9, 3.823755026235097*^9}, {
  3.823755138852312*^9, 3.8237551412308893`*^9}, {3.8237552542875767`*^9, 
  3.823755258538995*^9}, {3.823755288960106*^9, 3.823755305046205*^9}, {
  3.823755340056356*^9, 3.823755355579713*^9}, {3.823761257656982*^9, 
  3.823761264076832*^9}, {3.823761318622267*^9, 3.8237613483486767`*^9}, {
  3.823845171363297*^9, 3.823845174145544*^9}, {3.823845910471685*^9, 
  3.8238459354930677`*^9}, {3.823846016135159*^9, 3.823846043781787*^9}, {
  3.823846075341496*^9, 3.823846114105418*^9}, {3.823854492357277*^9, 
  3.823854513138855*^9}, {3.8238547593440533`*^9, 3.823854763084306*^9}},
 CellLabel->
  "In[169]:=",ExpressionUUID->"20d97ebe-0d27-480c-8a96-688609a839fe"],

Cell[BoxData[
 TemplateBox[{GraphicsBox[{{}, 
     GraphicsComplexBox[CompressedData["
1:eJw91nk8ldkfB3CSJTUTkhZLk/opSWpkqeRLIcqSSGQLaZOfbSpLtEiLhJoU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      
      "], {{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {
         EdgeForm[], 
         Directive[
          RGBColor[0.368417, 0.506779, 0.709798], 
          Opacity[0.2]], 
         GraphicsGroupBox[{
           PolygonBox[CompressedData["
1:eJw101c3FgAAgOHP3ntvn71FUzKiaA80SEjc1v9MQ7sQEkWkoan5nON08fyA
9+INjt/suxEaCARCuMUUt7nDXe4xzX0e8JBHPOYJT3nGc2aYZY4XzLPAIi9Z
4hXLrPCaN6yyxlvW2eAdm7znAx/5xBaf+cJXvvGdH2zzk1/85g9/AztxIYQS
RjgRRBJFNDHEEkc8CSSSRDIppJJGOhlkkkU2OeSSRz4FFFJEMUFKKKWMciqo
pIpqaqiljnoaaGRSwgTXGecaY4wywlWGucIQg1zmEhe5wAD99HGec5zlDKc5
xUlOcJxj9NLDUY7QTReH6aSDdto4RCsHaeEA+9nHXvawm2aa2EUjDdRTRy01
VFNFJRWUU0YpJQQppohCCsgnj1xyyCaLTDJIJ41UUkgmiUQSiCeOWGKIJopI
IggnjP+v/ANhCkqg
            "]]}]}, {}, {}, {}, {}, {}, {}}, {{}, {}, {}, {
         Hue[0.67, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[1.6]], 
         LineBox[{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 
          18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 
          35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 
          52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 
          69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 
          86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 
          101}]}, {
         Hue[0.9060679774997897, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.880722, 0.611041, 0.142051], 
          AbsoluteThickness[1.6]], 
         LineBox[{102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 
          114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 
          127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 
          140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 
          153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 
          166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 
          179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 
          192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202}]}, {
         Hue[0.1421359549995791, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.560181, 0.691569, 0.194885], 
          AbsoluteThickness[1.6]], 
         LineBox[CompressedData["
1:eJwNz0VWQgEAAMCPii1iB0qZmHfxCL7nVg+qYAd2dyO2wizmAJOaXZiZDwVB
MMciS2TJscwKq6yxzgabbLHNDnl22WOfAw454pgTTjnjnAsuueKaG265454H
HnnimRdeKfBGkXc++OSLb3745Y9/SgRyISqopIow1dRQSx31NNBIExGaidJC
K22000EnXXTTQy8x+ugnToIkKdIMMMgQw4wwSoYxxplgkimmKQNmAjYa
          
          "]]}}}], {}, {}, {}, {}}, {
    DisplayFunction -> Identity, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, AxesOrigin -> {0, 0}, 
     PlotRange -> {{0, 1.}, {0, 0.4}}, PlotRangeClipping -> True, 
     ImagePadding -> All, DisplayFunction -> Identity, AspectRatio -> 
     NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
     AxesLabel -> {
       FormBox["\"antibiotic exposure prevalence (a)\"", TraditionalForm], 
       FormBox[
       "\"colonization prevalence (\\!\\(\\*SubscriptBox[\\(X\\), \
\\(e\\)]\\)+\\!\\(\\*SubscriptBox[\\(X\\), \\(d\\)]\\))\"", TraditionalForm]},
      AxesOrigin -> {0, 0}, DisplayFunction :> Identity, 
     Frame -> {{False, False}, {False, False}}, 
     FrameLabel -> {{None, None}, {None, None}}, 
     FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}}, 
     GridLines -> {None, None}, GridLinesStyle -> Directive[
       GrayLevel[0.5, 0.4]], 
     Method -> {"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& ), "CopiedValueFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& )}}, PlotLabel -> 
     FormBox["\"Colonization resistance (r=0.8)\"", TraditionalForm], 
     PlotRange -> {{0, 1.}, {0, 0.4}}, PlotRangeClipping -> True, 
     PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, Ticks -> {Automatic, Automatic}}],FormBox[
    FormBox[
     TemplateBox[{
      "\"\[Epsilon]=0.2\"", "\"\[Epsilon]=0.5\"", "\"\[Epsilon]=0.8\""}, 
      "LineLegend", DisplayFunction -> (FormBox[
        StyleBox[
         StyleBox[
          PaneBox[
           TagBox[
            GridBox[{{
               TagBox[
                GridBox[{{
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                 AutoDelete -> False, 
                 GridBoxDividers -> {
                  "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
                  GridBoxSpacings -> {
                  "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
             AutoDelete -> False, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
            "Grid"], Alignment -> Left, AppearanceElements -> None, 
           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
         FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
         False], TraditionalForm]& ), 
      InterpretationFunction :> (RowBox[{"LineLegend", "[", 
         RowBox[{
           RowBox[{"{", 
             RowBox[{
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.880722, 0.611041, 0.142051]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.560181, 0.691569, 0.194885]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
              "}"}], ",", 
           RowBox[{"{", 
             RowBox[{#, ",", #2, ",", #3}], "}"}], ",", 
           RowBox[{"LegendMarkers", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",", 
           RowBox[{"Joined", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{"True", ",", "True", ",", "True"}], "}"}]}], ",", 
           RowBox[{"LabelStyle", "\[Rule]", 
             RowBox[{"{", "}"}]}], ",", 
           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
      Editable -> True], TraditionalForm], TraditionalForm]},
  "Legended",
  DisplayFunction->(GridBox[{{
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"], 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, GridBoxItemSize -> Automatic, 
    BaselinePosition -> {1, 1}]& ),
  Editable->True,
  InterpretationFunction->(RowBox[{"Legended", "[", 
     RowBox[{#, ",", 
       RowBox[{"Placed", "[", 
         RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{{3.8238459208867064`*^9, 3.8238459362892113`*^9}, {
   3.823846018808138*^9, 3.8238460448765917`*^9}, {3.823846078462677*^9, 
   3.8238461145362453`*^9}, 3.823854565533595*^9, 3.823854770893894*^9, 
   3.823855868890183*^9, 3.8238597194373713`*^9, 3.823954877991947*^9, 
   3.8243592134603853`*^9, 3.833385124198619*^9},
 CellLabel->
  "Out[169]=",ExpressionUUID->"d40a6902-2491-4088-a20b-97d17e01a9ea"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListLinePlot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
    "prevalence\[Eta]1", ",", "prevalence\[Eta]2", ",", "prevalence\[Eta]3"}],
     "}"}], ",", " ", 
   RowBox[{"PlotLegends", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<\[Eta]=0.2\>\"", ",", "\"\<\[Eta]=0.5\>\"", ",", 
      "\"\<\[Eta]=0.8\>\""}], "}"}]}], ",", 
   RowBox[{"PlotLabel", "\[Rule]", "\"\<Resource competition (r=0.8)\>\""}], 
   ",", 
   RowBox[{"AxesLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<antibiotic exposure prevalence (a)\>\"", ",", " ", 
      "\"\<colonization prevalence (\!\(\*SubscriptBox[\(X\), \
\(e\)]\)+\!\(\*SubscriptBox[\(X\), \(d\)]\))\>\""}], "}"}]}], ",", 
   RowBox[{"PlotRange", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"0", ",", "0.45"}], "}"}]}], ",", 
   RowBox[{"Filling", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"1", "\[Rule]", 
      RowBox[{"{", "3", "}"}]}], "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.823755021925704*^9, 3.823755026235097*^9}, {
   3.823755138852312*^9, 3.8237551412308893`*^9}, {3.8237552542875767`*^9, 
   3.823755258538995*^9}, {3.823755288960106*^9, 3.823755305046205*^9}, {
   3.823755340056356*^9, 3.823755355579713*^9}, {3.823761257656982*^9, 
   3.823761264076832*^9}, {3.823761318622267*^9, 3.8237613483486767`*^9}, {
   3.823845171363297*^9, 3.823845174145544*^9}, {3.823845910471685*^9, 
   3.8238459354930677`*^9}, {3.823846016135159*^9, 3.823846043781787*^9}, {
   3.823846075341496*^9, 3.823846114105418*^9}, {3.823854492357277*^9, 
   3.82385455666459*^9}, {3.823854639374186*^9, 3.823854649387298*^9}, 
   3.823854767731102*^9, 3.823954885183387*^9},
 CellLabel->
  "In[170]:=",ExpressionUUID->"75106f9f-4c5b-4511-a1f1-ee53dce2c225"],

Cell[BoxData[
 TemplateBox[{GraphicsBox[{{}, 
     GraphicsComplexBox[CompressedData["
1:eJx113k8VVsbB3AquhKpJEkpVyTKRalUHjdEdUtcmSpFKFKaNMhNCpGSDIXu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      
      "], {{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {
         EdgeForm[], 
         Directive[
          RGBColor[0.368417, 0.506779, 0.709798], 
          Opacity[0.2]], 
         GraphicsGroupBox[{
           PolygonBox[CompressedData["
1:eJwt0tVSFQAUBdB76e7uS7cKIgaKDdgiWBiI8or/KRJiYWAgAopFKBgIi9GH
NXvO4559QgN3u4fCAoFAkHv/c+sOJ4JIoogmhljiiCeBRJJIJoVU0kgng0yy
yCaHXPLIp4BCiiimhBCllFFOBZVUUU0NtdRRTwONbGM7O2iimZ20sItWdrOH
veyjjf0coJ2DHOIwRzjKMY7TQSddnOAkpzjNGc5yjvN0c4EeernIJS5zhav0
cY3r3OAm/dxigNvcYXCrm1EaaaCeOmqpoZoqKqmgnDJKCVFCMUUUUkA+eeSS
QzZZZJJBOmmkkkIySSSSQDxxxBJDNFFEEkE4YQSD/x5qQ/xlnT/85hc/WWOV
H3xnhWWWWOQbX/nCZz6xwEc+MM8cs7xnhndM85Y3vOYVU7zkBc95xiRPecJj
HvGQCR4wzhijjHCfYTYBctxKoA==
            
            "]]}]}, {}, {}, {}, {}, {}, {}, {}}, {{}, {}, {}, {
         Hue[0.67, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[1.6]], 
         LineBox[{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 
          18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 
          35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 
          52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 
          69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 
          86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 
          101}]}, {
         Hue[0.9060679774997897, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.880722, 0.611041, 0.142051], 
          AbsoluteThickness[1.6]], 
         LineBox[{102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 
          114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 
          127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 
          140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 
          153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 
          166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 
          179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 
          192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202}]}, {
         Hue[0.1421359549995791, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.560181, 0.691569, 0.194885], 
          AbsoluteThickness[1.6]], 
         LineBox[CompressedData["
1:eJwNz0VWQgEAAMCPii1iB0qZmHfxCL7nVg+qYAd2dyO2wizmAJOaXZiZDwVB
MMciS2TJscwKq6yxzgabbLHNDnl22WOfAw454pgTTjnjnAsuueKaG265454H
HnnimRdeKfBGkXc++OSLb3745Y9/SgRyISqopIow1dRQSx31NNBIExGaidJC
K22000EnXXTTQy8x+ugnToIkKdIMMMgQw4wwSoYxxplgkimmKQNmAjYa
          
          "]]}}}], {}, {}, {}, {}}, {
    DisplayFunction -> Identity, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, AxesOrigin -> {0, 0}, 
     PlotRange -> {{0, 1.}, {0, 0.45}}, PlotRangeClipping -> True, 
     ImagePadding -> All, DisplayFunction -> Identity, AspectRatio -> 
     NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
     AxesLabel -> {
       FormBox["\"antibiotic exposure prevalence (a)\"", TraditionalForm], 
       FormBox[
       "\"colonization prevalence (\\!\\(\\*SubscriptBox[\\(X\\), \
\\(e\\)]\\)+\\!\\(\\*SubscriptBox[\\(X\\), \\(d\\)]\\))\"", TraditionalForm]},
      AxesOrigin -> {0, 0}, DisplayFunction :> Identity, 
     Frame -> {{False, False}, {False, False}}, 
     FrameLabel -> {{None, None}, {None, None}}, 
     FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}}, 
     GridLines -> {None, None}, GridLinesStyle -> Directive[
       GrayLevel[0.5, 0.4]], 
     Method -> {"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& ), "CopiedValueFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& )}}, PlotLabel -> 
     FormBox["\"Resource competition (r=0.8)\"", TraditionalForm], 
     PlotRange -> {{0, 1.}, {0, 0.45}}, PlotRangeClipping -> True, 
     PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, Ticks -> {Automatic, Automatic}}],FormBox[
    FormBox[
     TemplateBox[{"\"\[Eta]=0.2\"", "\"\[Eta]=0.5\"", "\"\[Eta]=0.8\""}, 
      "LineLegend", DisplayFunction -> (FormBox[
        StyleBox[
         StyleBox[
          PaneBox[
           TagBox[
            GridBox[{{
               TagBox[
                GridBox[{{
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                 AutoDelete -> False, 
                 GridBoxDividers -> {
                  "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
                  GridBoxSpacings -> {
                  "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
             AutoDelete -> False, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
            "Grid"], Alignment -> Left, AppearanceElements -> None, 
           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
         FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
         False], TraditionalForm]& ), 
      InterpretationFunction :> (RowBox[{"LineLegend", "[", 
         RowBox[{
           RowBox[{"{", 
             RowBox[{
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.880722, 0.611041, 0.142051]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.560181, 0.691569, 0.194885]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
              "}"}], ",", 
           RowBox[{"{", 
             RowBox[{#, ",", #2, ",", #3}], "}"}], ",", 
           RowBox[{"LegendMarkers", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",", 
           RowBox[{"Joined", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{"True", ",", "True", ",", "True"}], "}"}]}], ",", 
           RowBox[{"LabelStyle", "\[Rule]", 
             RowBox[{"{", "}"}]}], ",", 
           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
      Editable -> True], TraditionalForm], TraditionalForm]},
  "Legended",
  DisplayFunction->(GridBox[{{
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"], 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, GridBoxItemSize -> Automatic, 
    BaselinePosition -> {1, 1}]& ),
  Editable->True,
  InterpretationFunction->(RowBox[{"Legended", "[", 
     RowBox[{#, ",", 
       RowBox[{"Placed", "[", 
         RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{
  3.823854654320853*^9, 3.823854772458651*^9, 3.8238558715426607`*^9, 
   3.8238597215039997`*^9, {3.823954880886758*^9, 3.8239548857847013`*^9}, 
   3.8243592156009207`*^9, 3.8333851262681007`*^9},
 CellLabel->
  "Out[170]=",ExpressionUUID->"1171868a-1095-48d0-8c73-0929c01fdd86"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListLinePlot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
    "prevalence\[Phi]1", ",", "prevalence\[Phi]2", ",", "prevalence\[Phi]3"}],
     "}"}], ",", " ", 
   RowBox[{"PlotLegends", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<\[Phi]=2\>\"", ",", "\"\<\[Phi]=5\>\"", ",", "\"\<\[Phi]=8\>\""}], 
     "}"}]}], ",", 
   RowBox[{"PlotLabel", "\[Rule]", "\"\<Ecological release (r=0.8)\>\""}], 
   ",", 
   RowBox[{"AxesLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<antibiotic exposure prevalence (a)\>\"", ",", " ", 
      "\"\<colonization prevalence (\!\(\*SubscriptBox[\(X\), \
\(e\)]\)+\!\(\*SubscriptBox[\(X\), \(d\)]\))\>\""}], "}"}]}], ",", 
   RowBox[{"PlotRange", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"0", ",", "0.5"}], "}"}]}], ",", 
   RowBox[{"Filling", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"1", "\[Rule]", 
      RowBox[{"{", "3", "}"}]}], "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.823755021925704*^9, 3.823755026235097*^9}, {
   3.823755138852312*^9, 3.8237551412308893`*^9}, {3.8237552542875767`*^9, 
   3.823755258538995*^9}, {3.823755288960106*^9, 3.823755305046205*^9}, {
   3.823755340056356*^9, 3.823755355579713*^9}, {3.823761257656982*^9, 
   3.823761264076832*^9}, {3.823761318622267*^9, 3.8237613483486767`*^9}, {
   3.823845171363297*^9, 3.823845174145544*^9}, {3.823845910471685*^9, 
   3.8238459354930677`*^9}, {3.823846016135159*^9, 3.823846043781787*^9}, {
   3.823846075341496*^9, 3.823846114105418*^9}, {3.823854492357277*^9, 
   3.823854513138855*^9}, {3.82385466089859*^9, 3.823854693775882*^9}, 
   3.823854777619075*^9},
 CellLabel->
  "In[171]:=",ExpressionUUID->"5f1e59f8-85f4-4cf6-a26c-6b2e43599e48"],

Cell[BoxData[
 TemplateBox[{GraphicsBox[{{}, 
     GraphicsComplexBox[CompressedData["
1:eJx113k4Vmv3B3B5SydSDlEpRBGVvKGTIVbFKZGKkKKRooHQ4KRMHaThJJTS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      
      "], {{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {
         EdgeForm[], 
         Directive[
          RGBColor[0.368417, 0.506779, 0.709798], 
          Opacity[0.2]], 
         GraphicsGroupBox[{
           PolygonBox[CompressedData["
1:eJwt0tVSFQAUBdB76e7uS7cKIgaKDdgiWBiI8or/KRJiYWAgAopFKBgIi9GH
NXvO4559QgN3u4fCAoFAkHv/c+sOJ4JIoogmhljiiCeBRJJIJoVU0kgng0yy
yCaHXPLIp4BCiiimhBCllFFOBZVUUU0NtdRRTwONbGM7O2iimZ20sItWdrOH
veyjjf0coJ2DHOIwRzjKMY7TQSddnOAkpzjNGc5yjvN0c4EeernIJS5zhav0
cY3r3OAm/dxigNvcYXCrm1EaaaCeOmqpoZoqKqmgnDJKCVFCMUUUUkA+eeSS
QzZZZJJBOmmkkkIySSSSQDxxxBJDNFFEEkE4YQSD/x5qQ/xlnT/85hc/WWOV
H3xnhWWWWOQbX/nCZz6xwEc+MM8cs7xnhndM85Y3vOYVU7zkBc95xiRPecJj
HvGQCR4wzhijjHCfYTYBctxKoA==
            
            "]]}]}, {}, {}, {}, {}, {}, {}, {}}, {{}, {}, {}, {
         Hue[0.67, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[1.6]], 
         LineBox[{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 
          18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 
          35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 
          52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 
          69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 
          86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 
          101}]}, {
         Hue[0.9060679774997897, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.880722, 0.611041, 0.142051], 
          AbsoluteThickness[1.6]], 
         LineBox[{102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 
          114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 
          127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 
          140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 
          153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 
          166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 
          179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 
          192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202}]}, {
         Hue[0.1421359549995791, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.560181, 0.691569, 0.194885], 
          AbsoluteThickness[1.6]], 
         LineBox[CompressedData["
1:eJwNz0VWQgEAAMCPii1iB0qZmHfxCL7nVg+qYAd2dyO2wizmAJOaXZiZDwVB
MMciS2TJscwKq6yxzgabbLHNDnl22WOfAw454pgTTjnjnAsuueKaG265454H
HnnimRdeKfBGkXc++OSLb3745Y9/SgRyISqopIow1dRQSx31NNBIExGaidJC
K22000EnXXTTQy8x+ugnToIkKdIMMMgQw4wwSoYxxplgkimmKQNmAjYa
          
          "]]}}}], {}, {}, {}, {}}, {
    DisplayFunction -> Identity, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, AxesOrigin -> {0, 0}, 
     PlotRange -> {{0, 1.}, {0, 0.5}}, PlotRangeClipping -> True, 
     ImagePadding -> All, DisplayFunction -> Identity, AspectRatio -> 
     NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
     AxesLabel -> {
       FormBox["\"antibiotic exposure prevalence (a)\"", TraditionalForm], 
       FormBox[
       "\"colonization prevalence (\\!\\(\\*SubscriptBox[\\(X\\), \
\\(e\\)]\\)+\\!\\(\\*SubscriptBox[\\(X\\), \\(d\\)]\\))\"", TraditionalForm]},
      AxesOrigin -> {0, 0}, DisplayFunction :> Identity, 
     Frame -> {{False, False}, {False, False}}, 
     FrameLabel -> {{None, None}, {None, None}}, 
     FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}}, 
     GridLines -> {None, None}, GridLinesStyle -> Directive[
       GrayLevel[0.5, 0.4]], 
     Method -> {"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& ), "CopiedValueFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& )}}, PlotLabel -> 
     FormBox["\"Ecological release (r=0.8)\"", TraditionalForm], 
     PlotRange -> {{0, 1.}, {0, 0.5}}, PlotRangeClipping -> True, 
     PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, Ticks -> {Automatic, Automatic}}],FormBox[
    FormBox[
     TemplateBox[{"\"\[Phi]=2\"", "\"\[Phi]=5\"", "\"\[Phi]=8\""}, 
      "LineLegend", DisplayFunction -> (FormBox[
        StyleBox[
         StyleBox[
          PaneBox[
           TagBox[
            GridBox[{{
               TagBox[
                GridBox[{{
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                 AutoDelete -> False, 
                 GridBoxDividers -> {
                  "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
                  GridBoxSpacings -> {
                  "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
             AutoDelete -> False, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
            "Grid"], Alignment -> Left, AppearanceElements -> None, 
           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
         FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
         False], TraditionalForm]& ), 
      InterpretationFunction :> (RowBox[{"LineLegend", "[", 
         RowBox[{
           RowBox[{"{", 
             RowBox[{
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.880722, 0.611041, 0.142051]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.560181, 0.691569, 0.194885]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
              "}"}], ",", 
           RowBox[{"{", 
             RowBox[{#, ",", #2, ",", #3}], "}"}], ",", 
           RowBox[{"LegendMarkers", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",", 
           RowBox[{"Joined", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{"True", ",", "True", ",", "True"}], "}"}]}], ",", 
           RowBox[{"LabelStyle", "\[Rule]", 
             RowBox[{"{", "}"}]}], ",", 
           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
      Editable -> True], TraditionalForm], TraditionalForm]},
  "Legended",
  DisplayFunction->(GridBox[{{
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"], 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, GridBoxItemSize -> Automatic, 
    BaselinePosition -> {1, 1}]& ),
  Editable->True,
  InterpretationFunction->(RowBox[{"Legended", "[", 
     RowBox[{#, ",", 
       RowBox[{"Placed", "[", 
         RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{{3.8238546891385517`*^9, 3.823854694274741*^9}, 
   3.8238547784716387`*^9, 3.82385587348809*^9, 3.823859723145069*^9, 
   3.823954888239027*^9, 3.8243592174219103`*^9, 3.8333851280938387`*^9},
 CellLabel->
  "Out[171]=",ExpressionUUID->"7b79ab96-0d72-4a84-b72a-088eafe90bf7"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 "evaluated for a \[Element] {0,1}, ",
 Cell[BoxData[
  FormBox[
   SubscriptBox["r", "R"], TraditionalForm]],ExpressionUUID->
  "b071e40d-6b26-42fd-8721-2b025ef3bc28"],
 " = 1.0 for different interactions and interaction strengths"
}], "Subsubsection",
 CellChangeTimes->{{3.823753271371581*^9, 3.823753313314786*^9}, {
  3.8237554380773153`*^9, 3.823755445358658*^9}, {3.823759852089511*^9, 
  3.823759852672833*^9}, {3.8238449948423357`*^9, 3.823844999415462*^9}, {
  3.833385135223056*^9, 
  3.833385135890315*^9}},ExpressionUUID->"00fab669-f518-43cf-be05-\
51bec73e1cbd"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"eqba\[Epsilon]1", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Epsilon]1"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "1"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Epsilon]2", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Epsilon]2"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "1"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Epsilon]3", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Epsilon]3"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "1"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Eta]1", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Eta]1"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "1"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Eta]2", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Eta]2"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "1"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Eta]3", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Eta]3"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "1"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Phi]1", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Phi]1"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "1"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Phi]2", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Phi]2"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "1"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"eqba\[Phi]3", "=", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"Flatten", "[", 
      RowBox[{"{", 
       RowBox[{"a", ",", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           SubscriptBox["S", "e"], ",", 
           SubscriptBox["S", "d"], ",", 
           SubscriptBox["X", "e"], ",", 
           SubscriptBox["X", "d"]}], "}"}], "/.", 
         RowBox[{"NSolve", "[", 
          RowBox[{
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{
                SubscriptBox["dS", "e"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dS", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{
                SubscriptBox["dX", "e"], "\[Equal]", "0"}], ",", " ", 
               RowBox[{
                SubscriptBox["dX", "d"], "\[Equal]", "0"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["S", "d"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "e"], "\[LessEqual]", "1"}], ",", 
               RowBox[{"0", "\[LessEqual]", 
                SubscriptBox["X", "d"], "\[LessEqual]", "1"}]}], "}"}], "/.", 
             "paramsMicrobiome\[Phi]3"}], "/.", 
            RowBox[{"{", 
             RowBox[{
              SubscriptBox["r", "R"], "\[Rule]", "1"}], "}"}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["S", "e"], ",", 
             SubscriptBox["S", "d"], ",", 
             SubscriptBox["X", "e"], ",", 
             SubscriptBox["X", "d"]}], "}"}]}], "]"}]}]}], "}"}], "]"}], ",", 
     
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}]}], "]"}]}], 
  ";"}], "\[IndentingNewLine]"}], "Input",
 CellChangeTimes->{{3.823842541306411*^9, 3.823842547406849*^9}, {
  3.823842747058704*^9, 3.823842747258068*^9}, {3.8238427963892107`*^9, 
  3.823842865999825*^9}, {3.823842901940381*^9, 3.82384298021946*^9}, {
  3.8238449428771*^9, 3.823845049186084*^9}, {3.823854722717998*^9, 
  3.823854738982868*^9}, {3.824359232099339*^9, 3.824359290659*^9}, {
  3.8333851334853573`*^9, 3.833385155223418*^9}, {3.833385314813774*^9, 
  3.833385315133685*^9}},
 CellLabel->
  "In[181]:=",ExpressionUUID->"9158a1b7-ac18-41d3-a441-a6401384e67d"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"prevalence\[Epsilon]1", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Epsilon]1", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Epsilon]1", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Epsilon]1", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], ";", 
  RowBox[{"prevalence\[Epsilon]2", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Epsilon]2", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Epsilon]2", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Epsilon]2", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], ";", 
  RowBox[{"prevalence\[Epsilon]3", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Epsilon]3", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Epsilon]3", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Epsilon]3", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"prevalence\[Eta]1", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Eta]1", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Eta]1", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Eta]1", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], ";", 
  RowBox[{"prevalence\[Eta]2", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Eta]2", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Eta]2", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Eta]2", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], ";", 
  RowBox[{"prevalence\[Eta]3", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Eta]3", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Eta]3", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Eta]3", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"prevalence\[Phi]1", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Phi]1", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Phi]1", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Phi]1", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], ";", 
  RowBox[{"prevalence\[Phi]2", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Phi]2", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Phi]2", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Phi]2", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], ";", 
  RowBox[{"prevalence\[Phi]3", "=", 
   RowBox[{"Transpose", "[", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"eqba\[Phi]3", "[", 
       RowBox[{"[", 
        RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
      RowBox[{
       RowBox[{"eqba\[Phi]3", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "4"}], "]"}], "]"}], "+", 
       RowBox[{"eqba\[Phi]3", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "5"}], "]"}], "]"}]}]}], "}"}], "]"}]}], 
  ";"}]}], "Input",
 CellChangeTimes->{{3.823754934688197*^9, 3.823754962783456*^9}, {
  3.8237549934437647`*^9, 3.8237550181068087`*^9}, {3.8237551204557037`*^9, 
  3.82375513518036*^9}, {3.823761222814671*^9, 3.823761241150538*^9}, {
  3.823761304180417*^9, 3.823761312789419*^9}, {3.823842987083249*^9, 
  3.823842989394579*^9}, {3.823844645218247*^9, 3.823844694434575*^9}, {
  3.823845056828637*^9, 3.823845109974387*^9}, {3.8238451422239227`*^9, 
  3.823845164599238*^9}, {3.823845761828106*^9, 3.823845875261421*^9}},
 CellLabel->
  "In[190]:=",ExpressionUUID->"f9125c4b-f016-4c6a-ab0c-668241dad48c"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListLinePlot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
    "prevalence\[Epsilon]1", ",", "prevalence\[Epsilon]2", ",", 
     "prevalence\[Epsilon]3"}], "}"}], ",", " ", 
   RowBox[{"PlotLegends", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<\[Epsilon]=0.2\>\"", ",", "\"\<\[Epsilon]=0.5\>\"", ",", 
      "\"\<\[Epsilon]=0.8\>\""}], "}"}]}], ",", 
   RowBox[{"PlotLabel", "\[Rule]", "\"\<Colonization resistance (r=1)\>\""}], 
   ",", 
   RowBox[{"AxesLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<antibiotic exposure prevalence (a)\>\"", ",", " ", 
      "\"\<colonization prevalence (\!\(\*SubscriptBox[\(X\), \
\(e\)]\)+\!\(\*SubscriptBox[\(X\), \(d\)]\))\>\""}], "}"}]}], ",", 
   RowBox[{"PlotRange", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"0", ",", "0.4"}], "}"}]}], ",", 
   RowBox[{"Filling", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"1", "\[Rule]", 
      RowBox[{"{", "3", "}"}]}], "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.823755021925704*^9, 3.823755026235097*^9}, {
  3.823755138852312*^9, 3.8237551412308893`*^9}, {3.8237552542875767`*^9, 
  3.823755258538995*^9}, {3.823755288960106*^9, 3.823755305046205*^9}, {
  3.823755340056356*^9, 3.823755355579713*^9}, {3.823761257656982*^9, 
  3.823761264076832*^9}, {3.823761318622267*^9, 3.8237613483486767`*^9}, {
  3.823845171363297*^9, 3.823845174145544*^9}, {3.823845910471685*^9, 
  3.8238459354930677`*^9}, {3.823846016135159*^9, 3.823846043781787*^9}, {
  3.823846075341496*^9, 3.823846114105418*^9}, {3.823854492357277*^9, 
  3.823854513138855*^9}, {3.823854786986693*^9, 3.8238547885247307`*^9}},
 CellLabel->
  "In[193]:=",ExpressionUUID->"b146937e-82aa-4bbd-a380-ec9d5eca3685"],

Cell[BoxData[
 TemplateBox[{GraphicsBox[{{}, 
     GraphicsComplexBox[CompressedData["
1:eJxF2HlYjOsbB/CEFvuSclopkn07lJJb55fkJCRLEaJFiJAsjSOSspalJqIs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      
      "], {{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {
         EdgeForm[], 
         Directive[
          RGBColor[0.368417, 0.506779, 0.709798], 
          Opacity[0.2]], 
         GraphicsGroupBox[{
           PolygonBox[CompressedData["
1:eJw101c3FgAAgOHP3ntvn71FUzKiaA80SEjc1v9MQ7sQEkWkoan5nON08fyA
9+INjt/suxEaCARCuMUUt7nDXe4xzX0e8JBHPOYJT3nGc2aYZY4XzLPAIi9Z
4hXLrPCaN6yyxlvW2eAdm7znAx/5xBaf+cJXvvGdH2zzk1/85g9/AztxIYQS
RjgRRBJFNDHEEkc8CSSSRDIppJJGOhlkkkU2OeSSRz4FFFJEMUFKKKWMciqo
pIpqaqiljnoaaGRSwgTXGecaY4wywlWGucIQg1zmEhe5wAD99HGec5zlDKc5
xUlOcJxj9NLDUY7QTReH6aSDdto4RCsHaeEA+9nHXvawm2aa2EUjDdRTRy01
VFNFJRWUU0YpJQQppohCCsgnj1xyyCaLTDJIJ41UUkgmiUQSiCeOWGKIJopI
IggnjP+v/ANhCkqg
            "]]}]}, {}, {}, {}, {}, {}, {}}, {{}, {}, {}, {
         Hue[0.67, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[1.6]], 
         LineBox[{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 
          18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 
          35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 
          52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 
          69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 
          86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 
          101}]}, {
         Hue[0.9060679774997897, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.880722, 0.611041, 0.142051], 
          AbsoluteThickness[1.6]], 
         LineBox[{102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 
          114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 
          127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 
          140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 
          153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 
          166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 
          179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 
          192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202}]}, {
         Hue[0.1421359549995791, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.560181, 0.691569, 0.194885], 
          AbsoluteThickness[1.6]], 
         LineBox[CompressedData["
1:eJwNz0VWQgEAAMCPii1iB0qZmHfxCL7nVg+qYAd2dyO2wizmAJOaXZiZDwVB
MMciS2TJscwKq6yxzgabbLHNDnl22WOfAw454pgTTjnjnAsuueKaG265454H
HnnimRdeKfBGkXc++OSLb3745Y9/SgRyISqopIow1dRQSx31NNBIExGaidJC
K22000EnXXTTQy8x+ugnToIkKdIMMMgQw4wwSoYxxplgkimmKQNmAjYa
          
          "]]}}}], {}, {}, {}, {}}, {
    DisplayFunction -> Identity, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, AxesOrigin -> {0, 0}, 
     PlotRange -> {{0, 1.}, {0, 0.4}}, PlotRangeClipping -> True, 
     ImagePadding -> All, DisplayFunction -> Identity, AspectRatio -> 
     NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
     AxesLabel -> {
       FormBox["\"antibiotic exposure prevalence (a)\"", TraditionalForm], 
       FormBox[
       "\"colonization prevalence (\\!\\(\\*SubscriptBox[\\(X\\), \
\\(e\\)]\\)+\\!\\(\\*SubscriptBox[\\(X\\), \\(d\\)]\\))\"", TraditionalForm]},
      AxesOrigin -> {0, 0}, DisplayFunction :> Identity, 
     Frame -> {{False, False}, {False, False}}, 
     FrameLabel -> {{None, None}, {None, None}}, 
     FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}}, 
     GridLines -> {None, None}, GridLinesStyle -> Directive[
       GrayLevel[0.5, 0.4]], 
     Method -> {"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& ), "CopiedValueFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& )}}, PlotLabel -> 
     FormBox["\"Colonization resistance (r=1)\"", TraditionalForm], 
     PlotRange -> {{0, 1.}, {0, 0.4}}, PlotRangeClipping -> True, 
     PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, Ticks -> {Automatic, Automatic}}],FormBox[
    FormBox[
     TemplateBox[{
      "\"\[Epsilon]=0.2\"", "\"\[Epsilon]=0.5\"", "\"\[Epsilon]=0.8\""}, 
      "LineLegend", DisplayFunction -> (FormBox[
        StyleBox[
         StyleBox[
          PaneBox[
           TagBox[
            GridBox[{{
               TagBox[
                GridBox[{{
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                 AutoDelete -> False, 
                 GridBoxDividers -> {
                  "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
                  GridBoxSpacings -> {
                  "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
             AutoDelete -> False, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
            "Grid"], Alignment -> Left, AppearanceElements -> None, 
           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
         FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
         False], TraditionalForm]& ), 
      InterpretationFunction :> (RowBox[{"LineLegend", "[", 
         RowBox[{
           RowBox[{"{", 
             RowBox[{
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.880722, 0.611041, 0.142051]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.560181, 0.691569, 0.194885]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
              "}"}], ",", 
           RowBox[{"{", 
             RowBox[{#, ",", #2, ",", #3}], "}"}], ",", 
           RowBox[{"LegendMarkers", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",", 
           RowBox[{"Joined", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{"True", ",", "True", ",", "True"}], "}"}]}], ",", 
           RowBox[{"LabelStyle", "\[Rule]", 
             RowBox[{"{", "}"}]}], ",", 
           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
      Editable -> True], TraditionalForm], TraditionalForm]},
  "Legended",
  DisplayFunction->(GridBox[{{
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"], 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, GridBoxItemSize -> Automatic, 
    BaselinePosition -> {1, 1}]& ),
  Editable->True,
  InterpretationFunction->(RowBox[{"Legended", "[", 
     RowBox[{#, ",", 
       RowBox[{"Placed", "[", 
         RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{{3.8238459208867064`*^9, 3.8238459362892113`*^9}, {
   3.823846018808138*^9, 3.8238460448765917`*^9}, {3.823846078462677*^9, 
   3.8238461145362453`*^9}, 3.823854565533595*^9, 3.8238547920051603`*^9, 
   3.823855917086635*^9, 3.8238597532205057`*^9, 3.823954907445724*^9, 
   3.824359308376442*^9, 3.833385362813032*^9},
 CellLabel->
  "Out[193]=",ExpressionUUID->"6be48896-d400-411f-b507-7d7799c28b61"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListLinePlot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
    "prevalence\[Eta]1", ",", "prevalence\[Eta]2", ",", "prevalence\[Eta]3"}],
     "}"}], ",", " ", 
   RowBox[{"PlotLegends", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<\[Eta]=0.2\>\"", ",", "\"\<\[Eta]=0.5\>\"", ",", 
      "\"\<\[Eta]=0.8\>\""}], "}"}]}], ",", 
   RowBox[{"PlotLabel", "\[Rule]", "\"\<Resource competition (r=1)\>\""}], 
   ",", 
   RowBox[{"AxesLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<antibiotic exposure prevalence (a)\>\"", ",", " ", 
      "\"\<colonization prevalence (\!\(\*SubscriptBox[\(X\), \
\(e\)]\)+\!\(\*SubscriptBox[\(X\), \(d\)]\))\>\""}], "}"}]}], ",", 
   RowBox[{"PlotRange", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"0", ",", "0.55"}], "}"}]}], ",", 
   RowBox[{"Filling", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"1", "\[Rule]", 
      RowBox[{"{", "3", "}"}]}], "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.823755021925704*^9, 3.823755026235097*^9}, {
   3.823755138852312*^9, 3.8237551412308893`*^9}, {3.8237552542875767`*^9, 
   3.823755258538995*^9}, {3.823755288960106*^9, 3.823755305046205*^9}, {
   3.823755340056356*^9, 3.823755355579713*^9}, {3.823761257656982*^9, 
   3.823761264076832*^9}, {3.823761318622267*^9, 3.8237613483486767`*^9}, {
   3.823845171363297*^9, 3.823845174145544*^9}, {3.823845910471685*^9, 
   3.8238459354930677`*^9}, {3.823846016135159*^9, 3.823846043781787*^9}, {
   3.823846075341496*^9, 3.823846114105418*^9}, {3.823854492357277*^9, 
   3.82385455666459*^9}, {3.823854639374186*^9, 3.823854649387298*^9}, {
   3.823854794697035*^9, 3.823854799546254*^9}, 3.823954913066722*^9},
 CellLabel->
  "In[194]:=",ExpressionUUID->"75a77a6e-173c-497c-904d-23b5ae71414a"],

Cell[BoxData[
 TemplateBox[{GraphicsBox[{{}, 
     GraphicsComplexBox[CompressedData["
1:eJx11XtcTekaB/CNyiWajEakjIaRYufoRkVPE0Y3KlMiCRUplMpMxJSJKLmE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      
      "], {{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {
         EdgeForm[], 
         Directive[
          RGBColor[0.368417, 0.506779, 0.709798], 
          Opacity[0.2]], 
         GraphicsGroupBox[{
           PolygonBox[CompressedData["
1:eJwt0tVSFQAUBdB76e7uS7cKIgaKDdgiWBiI8or/KRJiYWAgAopFKBgIi9GH
NXvO4559QgN3u4fCAoFAkHv/c+sOJ4JIoogmhljiiCeBRJJIJoVU0kgng0yy
yCaHXPLIp4BCiiimhBCllFFOBZVUUU0NtdRRTwONbGM7O2iimZ20sItWdrOH
veyjjf0coJ2DHOIwRzjKMY7TQSddnOAkpzjNGc5yjvN0c4EeernIJS5zhav0
cY3r3OAm/dxigNvcYXCrm1EaaaCeOmqpoZoqKqmgnDJKCVFCMUUUUkA+eeSS
QzZZZJJBOmmkkkIySSSSQDxxxBJDNFFEEkE4YQSD/x5qQ/xlnT/85hc/WWOV
H3xnhWWWWOQbX/nCZz6xwEc+MM8cs7xnhndM85Y3vOYVU7zkBc95xiRPecJj
HvGQCR4wzhijjHCfYTYBctxKoA==
            
            "]]}]}, {}, {}, {}, {}, {}, {}, {}}, {{}, {}, {}, {
         Hue[0.67, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[1.6]], 
         LineBox[{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 
          18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 
          35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 
          52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 
          69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 
          86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 
          101}]}, {
         Hue[0.9060679774997897, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.880722, 0.611041, 0.142051], 
          AbsoluteThickness[1.6]], 
         LineBox[{102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 
          114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 
          127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 
          140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 
          153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 
          166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 
          179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 
          192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202}]}, {
         Hue[0.1421359549995791, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.560181, 0.691569, 0.194885], 
          AbsoluteThickness[1.6]], 
         LineBox[CompressedData["
1:eJwNz0VWQgEAAMCPii1iB0qZmHfxCL7nVg+qYAd2dyO2wizmAJOaXZiZDwVB
MMciS2TJscwKq6yxzgabbLHNDnl22WOfAw454pgTTjnjnAsuueKaG265454H
HnnimRdeKfBGkXc++OSLb3745Y9/SgRyISqopIow1dRQSx31NNBIExGaidJC
K22000EnXXTTQy8x+ugnToIkKdIMMMgQw4wwSoYxxplgkimmKQNmAjYa
          
          "]]}}}], {}, {}, {}, {}}, {
    DisplayFunction -> Identity, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, AxesOrigin -> {0, 0}, 
     PlotRange -> {{0, 1.}, {0, 0.55}}, PlotRangeClipping -> True, 
     ImagePadding -> All, DisplayFunction -> Identity, AspectRatio -> 
     NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
     AxesLabel -> {
       FormBox["\"antibiotic exposure prevalence (a)\"", TraditionalForm], 
       FormBox[
       "\"colonization prevalence (\\!\\(\\*SubscriptBox[\\(X\\), \
\\(e\\)]\\)+\\!\\(\\*SubscriptBox[\\(X\\), \\(d\\)]\\))\"", TraditionalForm]},
      AxesOrigin -> {0, 0}, DisplayFunction :> Identity, 
     Frame -> {{False, False}, {False, False}}, 
     FrameLabel -> {{None, None}, {None, None}}, 
     FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}}, 
     GridLines -> {None, None}, GridLinesStyle -> Directive[
       GrayLevel[0.5, 0.4]], 
     Method -> {"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& ), "CopiedValueFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& )}}, PlotLabel -> 
     FormBox["\"Resource competition (r=1)\"", TraditionalForm], 
     PlotRange -> {{0, 1.}, {0, 0.55}}, PlotRangeClipping -> True, 
     PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, Ticks -> {Automatic, Automatic}}],FormBox[
    FormBox[
     TemplateBox[{"\"\[Eta]=0.2\"", "\"\[Eta]=0.5\"", "\"\[Eta]=0.8\""}, 
      "LineLegend", DisplayFunction -> (FormBox[
        StyleBox[
         StyleBox[
          PaneBox[
           TagBox[
            GridBox[{{
               TagBox[
                GridBox[{{
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                 AutoDelete -> False, 
                 GridBoxDividers -> {
                  "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
                  GridBoxSpacings -> {
                  "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
             AutoDelete -> False, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
            "Grid"], Alignment -> Left, AppearanceElements -> None, 
           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
         FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
         False], TraditionalForm]& ), 
      InterpretationFunction :> (RowBox[{"LineLegend", "[", 
         RowBox[{
           RowBox[{"{", 
             RowBox[{
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.880722, 0.611041, 0.142051]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.560181, 0.691569, 0.194885]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
              "}"}], ",", 
           RowBox[{"{", 
             RowBox[{#, ",", #2, ",", #3}], "}"}], ",", 
           RowBox[{"LegendMarkers", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",", 
           RowBox[{"Joined", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{"True", ",", "True", ",", "True"}], "}"}]}], ",", 
           RowBox[{"LabelStyle", "\[Rule]", 
             RowBox[{"{", "}"}]}], ",", 
           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
      Editable -> True], TraditionalForm], TraditionalForm]},
  "Legended",
  DisplayFunction->(GridBox[{{
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"], 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, GridBoxItemSize -> Automatic, 
    BaselinePosition -> {1, 1}]& ),
  Editable->True,
  InterpretationFunction->(RowBox[{"Legended", "[", 
     RowBox[{#, ",", 
       RowBox[{"Placed", "[", 
         RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{
  3.823854654320853*^9, {3.823854795404256*^9, 3.823854799986291*^9}, 
   3.823855917419518*^9, 3.823859755547476*^9, {3.823954909554736*^9, 
   3.8239549135239153`*^9}, 3.824359308647478*^9, 3.833385364217371*^9},
 CellLabel->
  "Out[194]=",ExpressionUUID->"9e2be715-e9d4-420d-bc4a-82a7dc12059d"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListLinePlot", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
    "prevalence\[Phi]1", ",", "prevalence\[Phi]2", ",", "prevalence\[Phi]3"}],
     "}"}], ",", " ", 
   RowBox[{"PlotLegends", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<\[Phi]=2\>\"", ",", "\"\<\[Phi]=5\>\"", ",", "\"\<\[Phi]=8\>\""}], 
     "}"}]}], ",", 
   RowBox[{"PlotLabel", "\[Rule]", "\"\<Ecological release (r=1)\>\""}], ",", 
   
   RowBox[{"AxesLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<antibiotic exposure prevalence (a)\>\"", ",", " ", 
      "\"\<colonization prevalence (\!\(\*SubscriptBox[\(X\), \
\(e\)]\)+\!\(\*SubscriptBox[\(X\), \(d\)]\))\>\""}], "}"}]}], ",", 
   RowBox[{"PlotRange", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"0", ",", "0.6"}], "}"}]}], ",", 
   RowBox[{"Filling", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{"1", "\[Rule]", 
      RowBox[{"{", "3", "}"}]}], "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.823755021925704*^9, 3.823755026235097*^9}, {
  3.823755138852312*^9, 3.8237551412308893`*^9}, {3.8237552542875767`*^9, 
  3.823755258538995*^9}, {3.823755288960106*^9, 3.823755305046205*^9}, {
  3.823755340056356*^9, 3.823755355579713*^9}, {3.823761257656982*^9, 
  3.823761264076832*^9}, {3.823761318622267*^9, 3.8237613483486767`*^9}, {
  3.823845171363297*^9, 3.823845174145544*^9}, {3.823845910471685*^9, 
  3.8238459354930677`*^9}, {3.823846016135159*^9, 3.823846043781787*^9}, {
  3.823846075341496*^9, 3.823846114105418*^9}, {3.823854492357277*^9, 
  3.823854513138855*^9}, {3.82385466089859*^9, 3.823854693775882*^9}, {
  3.82385480818334*^9, 3.8238548132410316`*^9}},
 CellLabel->
  "In[195]:=",ExpressionUUID->"2907f780-76cd-4706-8078-1e2d71e0ae10"],

Cell[BoxData[
 TemplateBox[{GraphicsBox[{{}, 
     GraphicsComplexBox[CompressedData["
1:eJx113k8lWkbB3BFw6RSYWhSaJRIWdsUV5OEylgqTaKQqKhIRSVKlrEkS0M7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      
      "], {{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {
         EdgeForm[], 
         Directive[
          RGBColor[0.368417, 0.506779, 0.709798], 
          Opacity[0.2]], 
         GraphicsGroupBox[{
           PolygonBox[CompressedData["
1:eJwt0tVSFQAUBdB76e7uS7cKIgaKDdgiWBiI8or/KRJiYWAgAopFKBgIi9GH
NXvO4559QgN3u4fCAoFAkHv/c+sOJ4JIoogmhljiiCeBRJJIJoVU0kgng0yy
yCaHXPLIp4BCiiimhBCllFFOBZVUUU0NtdRRTwONbGM7O2iimZ20sItWdrOH
veyjjf0coJ2DHOIwRzjKMY7TQSddnOAkpzjNGc5yjvN0c4EeernIJS5zhav0
cY3r3OAm/dxigNvcYXCrm1EaaaCeOmqpoZoqKqmgnDJKCVFCMUUUUkA+eeSS
QzZZZJJBOmmkkkIySSSSQDxxxBJDNFFEEkE4YQSD/x5qQ/xlnT/85hc/WWOV
H3xnhWWWWOQbX/nCZz6xwEc+MM8cs7xnhndM85Y3vOYVU7zkBc95xiRPecJj
HvGQCR4wzhijjHCfYTYBctxKoA==
            
            "]]}]}, {}, {}, {}, {}, {}, {}, {}}, {{}, {}, {}, {
         Hue[0.67, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[1.6]], 
         LineBox[{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 
          18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 
          35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 
          52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 
          69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 
          86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 
          101}]}, {
         Hue[0.9060679774997897, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.880722, 0.611041, 0.142051], 
          AbsoluteThickness[1.6]], 
         LineBox[{102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 
          114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 
          127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 
          140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 
          153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 
          166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 
          179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 
          192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202}]}, {
         Hue[0.1421359549995791, 0.6, 0.6], 
         Directive[
          PointSize[
           NCache[
            Rational[1, 90], 0.011111111111111112`]], 
          RGBColor[0.560181, 0.691569, 0.194885], 
          AbsoluteThickness[1.6]], 
         LineBox[CompressedData["
1:eJwNz0VWQgEAAMCPii1iB0qZmHfxCL7nVg+qYAd2dyO2wizmAJOaXZiZDwVB
MMciS2TJscwKq6yxzgabbLHNDnl22WOfAw454pgTTjnjnAsuueKaG265454H
HnnimRdeKfBGkXc++OSLb3745Y9/SgRyISqopIow1dRQSx31NNBIExGaidJC
K22000EnXXTTQy8x+ugnToIkKdIMMMgQw4wwSoYxxplgkimmKQNmAjYa
          
          "]]}}}], {}, {}, {}, {}}, {
    DisplayFunction -> Identity, PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, AxesOrigin -> {0, 0}, 
     PlotRange -> {{0, 1.}, {0, 0.6}}, PlotRangeClipping -> True, 
     ImagePadding -> All, DisplayFunction -> Identity, AspectRatio -> 
     NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True}, 
     AxesLabel -> {
       FormBox["\"antibiotic exposure prevalence (a)\"", TraditionalForm], 
       FormBox[
       "\"colonization prevalence (\\!\\(\\*SubscriptBox[\\(X\\), \
\\(e\\)]\\)+\\!\\(\\*SubscriptBox[\\(X\\), \\(d\\)]\\))\"", TraditionalForm]},
      AxesOrigin -> {0, 0}, DisplayFunction :> Identity, 
     Frame -> {{False, False}, {False, False}}, 
     FrameLabel -> {{None, None}, {None, None}}, 
     FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}}, 
     GridLines -> {None, None}, GridLinesStyle -> Directive[
       GrayLevel[0.5, 0.4]], 
     Method -> {"CoordinatesToolOptions" -> {"DisplayFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& ), "CopiedValueFunction" -> ({
           (Identity[#]& )[
            Part[#, 1]], 
           (Identity[#]& )[
            Part[#, 2]]}& )}}, PlotLabel -> 
     FormBox["\"Ecological release (r=1)\"", TraditionalForm], 
     PlotRange -> {{0, 1.}, {0, 0.6}}, PlotRangeClipping -> True, 
     PlotRangePadding -> {{
        Scaled[0.02], 
        Scaled[0.02]}, {0, 0}}, Ticks -> {Automatic, Automatic}}],FormBox[
    FormBox[
     TemplateBox[{"\"\[Phi]=2\"", "\"\[Phi]=5\"", "\"\[Phi]=8\""}, 
      "LineLegend", DisplayFunction -> (FormBox[
        StyleBox[
         StyleBox[
          PaneBox[
           TagBox[
            GridBox[{{
               TagBox[
                GridBox[{{
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
                   GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {
                    LineBox[{{0, 10}, {20, 10}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[
                    NCache[
                    Rational[1, 5], 0.2]], 
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 10}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}}, 
                 GridBoxAlignment -> {
                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                 AutoDelete -> False, 
                 GridBoxDividers -> {
                  "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
                  GridBoxSpacings -> {
                  "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
             AutoDelete -> False, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
            "Grid"], Alignment -> Left, AppearanceElements -> None, 
           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
         FontFamily -> "Arial"}, Background -> Automatic, StripOnInput -> 
         False], TraditionalForm]& ), 
      InterpretationFunction :> (RowBox[{"LineLegend", "[", 
         RowBox[{
           RowBox[{"{", 
             RowBox[{
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.368417, 0.506779, 0.709798], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.24561133333333335`, 0.3378526666666667, 
                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
                    None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.368417, 0.506779, 0.709798]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.880722, 0.611041, 0.142051], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.880722, 0.611041, 0.142051]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
               ",", 
               RowBox[{"Directive", "[", 
                 RowBox[{
                   RowBox[{"PointSize", "[", 
                    FractionBox["1", "90"], "]"}], ",", 
                   InterpretationBox[
                    ButtonBox[
                    TooltipBox[
                    GraphicsBox[{{
                    GrayLevel[0], 
                    RectangleBox[{0, 0}]}, {
                    GrayLevel[0], 
                    RectangleBox[{1, -1}]}, {
                    RGBColor[0.560181, 0.691569, 0.194885], 
                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
                    FrameStyle -> 
                    RGBColor[
                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
                    Dynamic[{
                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
                    AbsoluteCurrentValue[Magnification]}]], 
                    StyleBox[
                    RowBox[{"RGBColor", "[", 
                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
                     "]"}], NumberMarks -> False]], Appearance -> None, 
                    BaseStyle -> {}, BaselinePosition -> Baseline, 
                    DefaultBaseStyle -> {}, ButtonFunction :> 
                    With[{Typeset`box$ = EvaluationBox[]}, 
                    If[
                    Not[
                    AbsoluteCurrentValue["Deployed"]], 
                    SelectionMove[Typeset`box$, All, Expression]; 
                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
                    FrontEnd`Private`$ColorSelectorInitialColor = 
                    RGBColor[0.560181, 0.691569, 0.194885]; 
                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
                    MathLink`CallFrontEnd[
                    FrontEnd`AttachCell[Typeset`box$, 
                    FrontEndResource["RGBColorValueSelector"], {
                    0, {Left, Bottom}}, {Left, Top}, 
                    "ClosingActions" -> {
                    "SelectionDeparture", "ParentChanged", 
                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
                    Automatic, Method -> "Preemptive"], 
                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
                     Selectable -> False], ",", 
                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
              "}"}], ",", 
           RowBox[{"{", 
             RowBox[{#, ",", #2, ",", #3}], "}"}], ",", 
           RowBox[{"LegendMarkers", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
                 RowBox[{"{", 
                   RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",", 
           RowBox[{"Joined", "\[Rule]", 
             RowBox[{"{", 
               RowBox[{"True", ",", "True", ",", "True"}], "}"}]}], ",", 
           RowBox[{"LabelStyle", "\[Rule]", 
             RowBox[{"{", "}"}]}], ",", 
           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ), 
      Editable -> True], TraditionalForm], TraditionalForm]},
  "Legended",
  DisplayFunction->(GridBox[{{
      TagBox[
       ItemBox[
        PaneBox[
         TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline}, 
         BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"], 
       "SkipImageSizeLevel"], 
      ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}}, 
    GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}}, 
    AutoDelete -> False, GridBoxItemSize -> Automatic, 
    BaselinePosition -> {1, 1}]& ),
  Editable->True,
  InterpretationFunction->(RowBox[{"Legended", "[", 
     RowBox[{#, ",", 
       RowBox[{"Placed", "[", 
         RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
 CellChangeTimes->{{3.8238546891385517`*^9, 3.823854694274741*^9}, {
   3.823854809829797*^9, 3.8238548137223997`*^9}, 3.8238559177630253`*^9, 
   3.823859760194476*^9, 3.8239549169608393`*^9, 3.824359308840213*^9, 
   3.833385366192856*^9},
 CellLabel->
  "Out[195]=",ExpressionUUID->"1da731e1-2c0a-41b1-95bf-38fc4453f5d5"]
}, Open  ]]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  FormBox[
   SubscriptBox["R", "0"], TraditionalForm]],ExpressionUUID->
  "43d02e06-f262-47c8-8250-789f0ac83ed5"],
 " "
}], "Subsection",
 CellChangeTimes->{{3.823755416413868*^9, 3.823755420381833*^9}, {
  3.823858570334964*^9, 3.823858577711692*^9}, {3.823859034559122*^9, 
  3.823859034922963*^9}, {3.823859846986066*^9, 
  3.8238598471375437`*^9}},ExpressionUUID->"e48cde3f-83ea-4e71-8b36-\
6c2641052da8"],

Cell[CellGroupData[{

Cell["NGM", "Subsubsection",
 CellChangeTimes->{{3.823866951543727*^9, 3.823866961899136*^9}, {
  3.823868408983519*^9, 3.8238684099598913`*^9}, {3.823872574769474*^9, 
  3.823872575012162*^9}},ExpressionUUID->"39f55b45-3972-4cde-9785-\
59bde054cfd6"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"F", "=", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       RowBox[{
        RowBox[{"(", 
         RowBox[{"\[Alpha]", "+", 
          RowBox[{
           RowBox[{"(", 
            RowBox[{"1", "-", "\[Epsilon]"}], ")"}], "\[Beta]"}]}], ")"}], 
        SubscriptBox["S", "eDFE"]}], ",", 
       RowBox[{
        RowBox[{"(", 
         RowBox[{"\[Alpha]", "+", 
          RowBox[{
           RowBox[{"(", 
            RowBox[{"1", "-", "\[Epsilon]"}], ")"}], "\[Beta]"}]}], ")"}], 
        SubscriptBox["S", "eDFE"]}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{
        RowBox[{"(", 
         RowBox[{
          RowBox[{"\[Alpha]", " ", "\[Phi]"}], "+", "\[Beta]"}], ")"}], 
        SubscriptBox["S", "dDFE"]}], ",", 
       RowBox[{
        RowBox[{"(", 
         RowBox[{
          RowBox[{"\[Alpha]", " ", "\[Phi]"}], "+", "\[Beta]"}], ")"}], 
        SubscriptBox["S", "dDFE"]}]}], "}"}]}], "}"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"V", "=", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{
       RowBox[{"\[Gamma]", "+", 
        SubscriptBox["\[Sigma]", "X"], "+", 
        SubscriptBox["\[Sigma]", "m"], "+", "\[Mu]"}], ",", " ", 
       RowBox[{"-", "\[Delta]"}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"-", 
        SubscriptBox["\[Sigma]", "m"]}], ",", 
       RowBox[{"\[Delta]", "+", 
        RowBox[{
         RowBox[{"(", 
          RowBox[{"1", "-", "\[Eta]"}], ")"}], "\[Gamma]"}], "+", 
        SubscriptBox["\[Sigma]", "X"], "+", "\[Mu]"}]}], "}"}]}], "}"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"NGM", " ", "=", " ", 
   RowBox[{"F", ".", 
    RowBox[{"Inverse", "[", "V", "]"}]}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"R0", "=", 
   RowBox[{"Total", "[", 
    RowBox[{"Eigenvalues", "[", "NGM", "]"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{"R0", "//", "FullSimplify"}]}], "Input",
 CellChangeTimes->{{3.823854996801881*^9, 3.82385502516186*^9}, {
  3.823855059760604*^9, 3.823855168046913*^9}, {3.823855444987089*^9, 
  3.8238555001768513`*^9}, {3.823855543602055*^9, 3.82385554921039*^9}, {
  3.8238584920099277`*^9, 3.823858496008705*^9}, {3.823859902356512*^9, 
  3.82385990480965*^9}, {3.823859983484984*^9, 3.823859989160941*^9}},
 CellLabel->
  "In[196]:=",ExpressionUUID->"f0cb2aaf-2f67-45ac-ab5d-e9376c4e783e"],

Cell[BoxData[
 RowBox[{
  RowBox[{"(", 
   RowBox[{
    RowBox[{
     RowBox[{"(", 
      RowBox[{"\[Beta]", "+", 
       RowBox[{"\[Alpha]\[Alpha]", " ", "\[Phi]"}], "-", 
       RowBox[{"a", " ", "\[Alpha]\[Alpha]", " ", "\[Phi]"}], "+", 
       RowBox[{"a", " ", "\[Alpha]\[Alpha]", " ", "\[Phi]", " ", 
        SubscriptBox["r", "R"]}]}], ")"}], " ", 
     SubscriptBox["S", "dDFE"], " ", 
     RowBox[{"(", 
      RowBox[{"\[Gamma]\[Gamma]", "+", 
       RowBox[{"c", " ", "\[Gamma]\[Gamma]"}], "+", "\[Delta]\[Delta]", "-", 
       RowBox[{"a", " ", "\[Delta]\[Delta]"}], "+", "\[Mu]", "+", 
       RowBox[{"a", " ", 
        SubscriptBox["\[Theta]", "m"]}], "-", 
       RowBox[{"a", " ", 
        RowBox[{"(", 
         RowBox[{
          RowBox[{"-", "1"}], "+", 
          SubscriptBox["r", "R"]}], ")"}], " ", 
        SubscriptBox["\[Theta]", "X"]}]}], ")"}]}], "-", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{"\[Alpha]\[Alpha]", "-", 
       RowBox[{"a", " ", "\[Alpha]\[Alpha]"}], "+", "\[Beta]", "-", 
       RowBox[{"\[Beta]", " ", "\[Epsilon]"}], "+", 
       RowBox[{"a", " ", "\[Alpha]\[Alpha]", " ", 
        SubscriptBox["r", "R"]}]}], ")"}], " ", 
     SubscriptBox["S", "eDFE"], " ", 
     RowBox[{"(", 
      RowBox[{
       RowBox[{
        RowBox[{"(", 
         RowBox[{
          RowBox[{"-", "1"}], "+", "a"}], ")"}], " ", "\[Delta]\[Delta]"}], 
       "+", 
       RowBox[{
        RowBox[{"(", 
         RowBox[{"1", "+", "c"}], ")"}], " ", "\[Gamma]\[Gamma]", " ", 
        RowBox[{"(", 
         RowBox[{
          RowBox[{"-", "1"}], "+", "\[Eta]"}], ")"}]}], "-", "\[Mu]", "-", 
       RowBox[{"a", " ", 
        SubscriptBox["\[Theta]", "m"]}], "+", 
       RowBox[{"a", " ", 
        RowBox[{"(", 
         RowBox[{
          RowBox[{"-", "1"}], "+", 
          SubscriptBox["r", "R"]}], ")"}], " ", 
        SubscriptBox["\[Theta]", "X"]}]}], ")"}]}]}], ")"}], "/", 
  RowBox[{"(", 
   RowBox[{
    RowBox[{
     RowBox[{"-", 
      RowBox[{"(", 
       RowBox[{
        RowBox[{
         RowBox[{"(", 
          RowBox[{
           RowBox[{"-", "1"}], "+", "a"}], ")"}], " ", "\[Delta]\[Delta]"}], 
        "+", 
        RowBox[{
         RowBox[{"(", 
          RowBox[{"1", "+", "c"}], ")"}], " ", "\[Gamma]\[Gamma]", " ", 
         RowBox[{"(", 
          RowBox[{
           RowBox[{"-", "1"}], "+", "\[Eta]"}], ")"}]}], "-", "\[Mu]", "+", 
        RowBox[{"a", " ", 
         RowBox[{"(", 
          RowBox[{
           RowBox[{"-", "1"}], "+", 
           SubscriptBox["r", "R"]}], ")"}], " ", 
         SubscriptBox["\[Theta]", "X"]}]}], ")"}]}], " ", 
     RowBox[{"(", 
      RowBox[{"\[Gamma]\[Gamma]", "+", 
       RowBox[{"c", " ", "\[Gamma]\[Gamma]"}], "+", "\[Mu]", "+", 
       RowBox[{
        RowBox[{"(", 
         RowBox[{"a", "-", 
          RowBox[{"a", " ", 
           SubscriptBox["r", "R"]}]}], ")"}], " ", 
        SubscriptBox["\[Theta]", "X"]}]}], ")"}]}], "+", 
    RowBox[{"a", " ", 
     SubscriptBox["\[Theta]", "m"], " ", 
     RowBox[{"(", 
      RowBox[{
       RowBox[{
        RowBox[{"-", 
         RowBox[{"(", 
          RowBox[{"1", "+", "c"}], ")"}]}], " ", "\[Gamma]\[Gamma]", " ", 
        RowBox[{"(", 
         RowBox[{
          RowBox[{"-", "1"}], "+", "\[Eta]"}], ")"}]}], "+", "\[Mu]", "+", 
       RowBox[{
        RowBox[{"(", 
         RowBox[{"a", "-", 
          RowBox[{"a", " ", 
           SubscriptBox["r", "R"]}]}], ")"}], " ", 
        SubscriptBox["\[Theta]", "X"]}]}], ")"}]}]}], ")"}]}]], "Output",
 CellChangeTimes->{{3.823859984017291*^9, 3.823859989938383*^9}, 
   3.823954965450758*^9, 3.823955073680925*^9, 3.824359348995412*^9, 
   3.833385372193787*^9},
 CellLabel->
  "Out[200]=",ExpressionUUID->"e30781da-f104-423e-8a22-368475384a0e"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"DFE", "=", 
   RowBox[{"Flatten", "[", 
    RowBox[{"Solve", "[", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{
        RowBox[{
         SubscriptBox["dS", "eDFE"], "\[Equal]", "0"}], ",", 
        RowBox[{
         SubscriptBox["dS", "dDFE"], "\[Equal]", "0"}], ",", 
        RowBox[{
         SubscriptBox["dX", "eDFE"], "\[Equal]", "0"}], ",", " ", 
        RowBox[{
         SubscriptBox["dX", "dDFE"], "\[Equal]", "0"}], ",", " ", 
        RowBox[{
         SubscriptBox["X", "e"], "\[Equal]", "0"}], ",", " ", 
        RowBox[{
         SubscriptBox["X", "d"], "\[Equal]", "0"}]}], "}"}], ",", 
      RowBox[{"{", 
       RowBox[{
        SubscriptBox["S", "e"], ",", 
        SubscriptBox["S", "d"], ",", 
        SubscriptBox["X", "e"], ",", 
        SubscriptBox["X", "d"]}], "}"}]}], "]"}], "]"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{"DFE", "//", "FullSimplify"}]}], "Input",
 CellChangeTimes->{{3.8238555801808777`*^9, 3.823855666340012*^9}, 
   3.823855744636772*^9, {3.8238566221107273`*^9, 3.823856645998719*^9}, {
   3.8238598501583567`*^9, 3.823859853048308*^9}, {3.8238599529224358`*^9, 
   3.823859957333907*^9}},
 CellLabel->
  "In[201]:=",ExpressionUUID->"d3d0314b-5c43-4461-b6d7-cc8a5bc5f242"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{
    SubscriptBox["S", "e"], "\[Rule]", 
    FractionBox[
     RowBox[{"\[Delta]\[Delta]", "-", 
      RowBox[{"a", " ", "\[Delta]\[Delta]"}], "+", "\[Mu]", "-", 
      RowBox[{"\[Mu]", " ", 
       SubscriptBox["f", "d"]}]}], 
     RowBox[{"\[Delta]\[Delta]", "-", 
      RowBox[{"a", " ", "\[Delta]\[Delta]"}], "+", "\[Mu]", "+", 
      RowBox[{"a", " ", 
       SubscriptBox["\[Theta]", "m"]}]}]]}], ",", 
   RowBox[{
    SubscriptBox["S", "d"], "\[Rule]", 
    FractionBox[
     RowBox[{
      RowBox[{"\[Mu]", " ", 
       SubscriptBox["f", "d"]}], "+", 
      RowBox[{"a", " ", 
       SubscriptBox["\[Theta]", "m"]}]}], 
     RowBox[{"\[Delta]\[Delta]", "-", 
      RowBox[{"a", " ", "\[Delta]\[Delta]"}], "+", "\[Mu]", "+", 
      RowBox[{"a", " ", 
       SubscriptBox["\[Theta]", "m"]}]}]]}], ",", 
   RowBox[{
    SubscriptBox["X", "e"], "\[Rule]", "0"}], ",", 
   RowBox[{
    SubscriptBox["X", "d"], "\[Rule]", "0"}]}], "}"}]], "Output",
 CellChangeTimes->{3.82385574507664*^9, 3.823855933993884*^9, 
  3.823856648906349*^9, 3.823856745899568*^9, 3.8238583426616497`*^9, 
  3.823858500526746*^9, 3.823858653505897*^9, 3.823859814187956*^9, 
  3.82385985338313*^9, 3.8238599577609587`*^9, 3.823859991820554*^9, 
  3.823954967215835*^9, 3.823955075906929*^9, 3.824359350094565*^9, 
  3.833385374041992*^9},
 CellLabel->
  "Out[202]=",ExpressionUUID->"d794ad1e-9e0d-4475-a15e-3e0b38c0e6bd"]
}, Open  ]]
}, Open  ]],

Cell[CellGroupData[{

Cell["numerical evaluation", "Subsubsection",
 CellChangeTimes->{{3.823866951543727*^9, 3.823866961899136*^9}, {
  3.823868408983519*^9, 
  3.8238684099598913`*^9}},ExpressionUUID->"50ba63d0-d1d8-40ed-a1fe-\
a0a5f6ec2a2b"],

Cell[BoxData[
 RowBox[{
  RowBox[{"R0eval", " ", "=", " ", 
   RowBox[{"Table", "[", 
    RowBox[{
     RowBox[{"{", 
      RowBox[{"a", ",", 
       SubscriptBox["r", "R"], ",", 
       RowBox[{
        RowBox[{
         RowBox[{"R0", "/.", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{
             SubscriptBox["S", "dDFE"], "\[Rule]", 
             SubscriptBox["S", "d"]}], ",", 
            RowBox[{
             SubscriptBox["S", "eDFE"], "\[Rule]", 
             SubscriptBox["S", "e"]}]}], "}"}]}], "/.", "DFE"}], "/.", 
        "paramsMicrobiomeMixed"}]}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{"a", ",", "0", ",", "1", ",", "0.01"}], "}"}], ",", 
     RowBox[{"{", 
      RowBox[{
       SubscriptBox["r", "R"], ",", "0", ",", "1", ",", "0.01"}], "}"}]}], 
    "]"}]}], ";"}]], "Input",
 CellChangeTimes->{{3.8238601248101273`*^9, 3.82386017992148*^9}, {
  3.823864060615842*^9, 3.823864063883729*^9}, {3.823864113247253*^9, 
  3.823864149222992*^9}, {3.823864199568984*^9, 3.8238642108125*^9}, {
  3.8238642460064917`*^9, 3.823864257974592*^9}, {3.833385177344521*^9, 
  3.8333851776334476`*^9}, {3.833385399935251*^9, 3.833385400276972*^9}},
 CellLabel->
  "In[205]:=",ExpressionUUID->"1a268ee1-44ab-49f2-bb0d-0021773fb069"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListContourPlot", "[", 
  RowBox[{
   RowBox[{"Flatten", "[", 
    RowBox[{"R0eval", ",", "1"}], "]"}], ",", " ", 
   RowBox[{"FrameLabel", "\[Rule]", 
    RowBox[{"{", 
     RowBox[{
     "\"\<antibiotic exposure prevalence (a)\>\"", ",", " ", 
      "\"\<resistance level (\!\(\*SubscriptBox[\(r\), \(R\)]\))\>\""}], 
     "}"}]}]}], "]"}]], "Input",
 CellChangeTimes->{{3.833385182009919*^9, 3.833385182321197*^9}},
 CellLabel->
  "In[206]:=",ExpressionUUID->"22cded99-040e-4545-b624-2f8d40f6c17f"],

Cell[BoxData[
 GraphicsBox[GraphicsComplexBox[CompressedData["
1:eJx0vT1sI1vXpSc4nHicjuFsDDhzbH+hnc7EX2TAduhxOk574pmAiR0oGSZK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   "], {{
     {RGBColor[0.148, 0.33, 0.54], EdgeForm[None], 
      GraphicsGroupBox[{
        PolygonBox[{{10102, 10103, 10002}, {9900, 10001, 9901}, {10101, 10102,
          10001}, {11427, 9901, 11428}, {9900, 9899, 10000}, {11428, 9901, 
         11445}, {9899, 9900, 9799}, {10104, 10003, 10103}, {11390, 9697, 
         11409}, {11469, 10105, 11470}, {11470, 10105, 11484}, {11391, 9596, 
         11377}, {11377, 9596, 11392}, {9799, 9798, 9899}, {11411, 9799, 
         11426}, {11447, 10003, 11448}, {10001, 10102, 10002}, {10103, 10003, 
         10002}, {11410, 9799, 11411}, {10001, 10002, 9901}, {11448, 10003, 
         11467}, {10001, 10000, 10101}, {10000, 10001, 9900}}], 
        PolygonBox[{{11392, 9596, 9697, 11390}, {11468, 10104, 10105, 
         11469}, {11409, 9697, 9798, 11408}, {11445, 9901, 10002, 11446}, {
         11426, 9799, 9900, 11425}, {11425, 9900, 9901, 11427}, {11408, 9798, 
         9799, 11410}, {11446, 10002, 10003, 11447}, {11467, 10003, 10104, 
         11468}}]}]}, 
     {RGBColor[0.27153845675915395`, 0.3986324759773078, 0.6556947452188902], 
      EdgeForm[None], GraphicsGroupBox[{PolygonBox[CompressedData["
1:eJxNnXd4VUUTh0/oTUSlExKS3NxcktB7r3ZREUF6772J2FBREanSAiR0UIod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