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Diffstat (limited to '2020Unit08-CalcIII.InfectiousDiseaseNLCModel01.mw')
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diff --git a/2020Unit08-CalcIII.InfectiousDiseaseNLCModel01.mw b/2020Unit08-CalcIII.InfectiousDiseaseNLCModel01.mw new file mode 100644 index 0000000..b371730 --- /dev/null +++ b/2020Unit08-CalcIII.InfectiousDiseaseNLCModel01.mw @@ -0,0 +1,617 @@ +<?xml version="1.0" encoding="UTF-8"?> +<Worksheet> +<Version major="2019" minor="1"/> +<Label-Scheme value="2" prefix=""/> +<View-Properties presentation="true" autoexpanding_sections="true" UserProfileName="Maple Default Profile" NumericFormat-ApplyInteger="true" NumericFormat-ApplyRational="true" NumericFormat-ApplyExponent="false" editable="true"> +</View-Properties> +<MapleNet-Properties prettyprint="3" warnlevel="0" compactdisplay="false" preplot="" helpbrowser="standard" displayprecision="-1" echo="1" unitattributes=""fontweight" = "bold"" imaginaryunit="I" longdelim="true" elisiontermsthreshold="10000" elisiondigitsafter="100" elisiondigitsbefore="100" plotdevice="inline" errorbreak="1" plotoptions="" plotdriver="opengl" quiet="false" 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output=listprocedure);\012\012MakePlotSIRsol:=proc()\012 uses plots, DocumentTools:\012 na:="not available"; \012 DT:-Do(b = %Slider_beta);\012\012\012 00\012 DT:-Do(g = %Slider_gamma);\012 SIRsol(parameters=[b , g]);\012 Susol:=subs(SIRsol, Su(t));\012 Insol:=subs(SIRsol, In(t));\012 Rsol :=subs(SIRsol, R(t));\012 Do(%Plot1=plot([Susol, Insol, Rsol],0..200.0, 0..1, color=["Blue","Red", "Cyan"], font=[Helvetica, 10], labelfont=[Helvetica, 10], legend=[Susceptible, Infected , Recovered], labels=["Time",""]));\012 Do(SetProperty(TextSu0,'value', sprintf("%10.5f", Su_0)));\012 Do(SetProperty(TextIn0,'value', sprintf("%10.5f", In_0)));\012 Do(SetProperty(TextR0,'value', sprintf("%10.5f", R_0)));\012 Do(SetProperty(Textbeta,'value', sprintf("%10.5f",b)));\012 Do(SetProperty(Textgamma,'value', sprintf("%10.5f",g)));\012 RNull:= b/g ;\012 Do(SetProperty(TextRNull,'value', sprintf("%10.5f",RNull)));\012 if b > 0 then;\012 rho:=g/b;\012 Do(SetProperty(Textrho,'value', sprintf("%10.5f",rho)));\012 rezgamma:=1/g;\012 Do(SetProperty(Textrezgamma,'value', sprintf("%10.5f",rezgamma)));\012 else;\012 Do(SetProperty(Textrho,'value', na));\012 Do(SetProperty(Textrezgamma,'value', "not meaningful"));\012 end if;\012end proc;#MakePlotSIRsol\012\012end module;#SIRclassic\012\012# Initialize interactive document:\012DocumentTools:-SetProperty(Slider_beta, 'value', 1.0 );\012DocumentTools:-SetProperty(Slider_gamma, 'value', 0.25 );\012SIRclassic:-MakePlotSIRsol() ;"/> +<Metadata-table> + <Metadata-category name="<default>"/> + <Metadata-tag id="0" category="<default>" name="Document Properties"> + <Metadata-attribute name="X-CloudURL" value="http://mymaplecloud.appspot.com"/> + <Metadata-attribute name="X-CloudId" value="5745946419789824"/> + <Metadata-attribute name="Item List" value="true"/> + <Metadata-attribute name="Keywords" value="<default>"/> + <Metadata-attribute name="X-CloudGroup" value="private"/> + <Metadata-attribute name="Author" 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TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 1" layout="Heading 1"><Font family="Arial">The classic SIR model: Infectious Disease Nonlinear Compartment Model 1</Font></Text-field></Title><Table visible="true" editable="true" exterior="none" pagebreak="cell" showlabel="true" title="" plotalignlists="" hiddenborderdisplay="worksheet" interior="none" postexecute="insert" drawcaption="false" drawtitle="false" width="79.24253459577568%" captionalignment="0" showinput="true" captionposition="1" id="Table0" alignment="left" randomized="false" labelreference="L6571" showgroup="true" order="row"><Table-Column weight="706" separator="true"></Table-Column><Table-Column weight="382" separator="true"></Table-Column><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block> +<Group view="presentation" hide-input="false" 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drawlabel="true" applyint="true" applyrational="true" applyexponent="false"> +<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" 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+</Input> +</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block> +<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L4650" drawlabel="true" applyint="true" applyrational="true" applyexponent="false"> +<Input><Text-field style="Text" layout="Normal"></Text-field> +</Input> +</Group></Presentation-Block><Presentation-Block> +<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8294" drawlabel="true" applyint="true" applyrational="true" applyexponent="false"> +<Input><Text-field style="Text" layout="Normal"><Font family="Arial">The <Font bold="true">basic reproduction ratio</Font> </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNC8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRi82I1EhRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y6RjVGNw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNC8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRi82I1EhRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0Y6RjVGNw==</Equation><Font family="Arial">, for the classic SIR model as defined above, can be derived as: </Font></Text-field> +</Input> +</Group></Presentation-Block><Presentation-Block> +<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8293" drawlabel="true" applyint="true" applyrational="true" applyexponent="false"> +<Input><Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" 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display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNC8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRi82I1EhRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi5RIn5GJ0Y1RjcvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZURjVGNw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNC8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRi82I1EhRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi5RIn5GJ0Y1RjcvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZURjVGNw==</Equation><Font subscript="true" family="Arial" italic="true"> </Font><Font family="Arial">is the number of secondary infections that is produced by one primary infection in a wholly susceptible population. Only when </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNC8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRi82I1EhRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi5RIn5GJ0Y1RjcvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZURjVGNw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JlEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGNC8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictRi82I1EhRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy1JI21vR0YkNi5RIn5GJ0Y1RjcvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZURjVGNw==</Equation><Font family="Arial" italic="true"> > </Font><Font family="Arial">1<Font italic="true">, </Font>does<Font italic="true"> </Font>an epidemic occurs. <Font encoding="UTF-8">1/\316\263</Font> is the average infectious period. Setting equations (1)-(3) equal to zero and solving these for the equilibrium solutions of </Font><Equation executable="false" style="2D Math" input-equation="" 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+</Input> +</Group></Presentation-Block><Presentation-Block> +<Group view="presentation" inline-output="false" labelreference="L8310" drawlabel="true" applyint="true" applyrational="true" applyexponent="false"> +<Input><Text-field style="Text" layout="Normal"></Text-field> +</Input> +</Group></Presentation-Block><Presentation-Block> +<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8308" drawlabel="true" applyint="true" applyrational="true" applyexponent="false"> +<Input><Text-field style="Text" layout="Normal"><Font family="Arial">Notes: (1) The basic reproduction ratio </Font><Equation executable="true" style="2D Math" input-equation="" 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(2) Not all combinations of infection and removal rates within the ranges of the interactive model below will match a real existing infectious disease. (3)The SIR model exists in different flavors and parametrizations, the model as presented here follows Bloomfield[2009].</Font></Text-field> +</Input> +</Group></Presentation-Block><Presentation-Block> +<Group view="presentation" inline-output="false" labelreference="L8290" drawlabel="true" applyint="true" applyrational="true" applyexponent="false"> +<Input><Text-field style="Text" layout="Normal"></Text-field> +</Input> +</Group></Presentation-Block> +</Section> +<Section collapsed="false" isCollapsible="true" drawButton="true" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title><Text-field style="Heading 2" layout="Heading 2"><Font family="Arial">Interactive SIR model: Infectious Disease Nonlinear Compartment Model 1</Font></Text-field></Title><Table visible="true" editable="true" exterior="all" pagebreak="cell" showlabel="true" title="" plotalignlists="" hiddenborderdisplay="worksheet" interior="group" postexecute="insert" drawcaption="false" width="100%" captionalignment="0" showinput="true" captionposition="1" id="Table7" alignment="left" randomized="false" labelreference="L7346" showgroup="true" order="row"><Table-Column weight="100" separator="true"></Table-Column><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Table visible="true" editable="true" exterior="all" pagebreak="cell" showlabel="true" title="" plotalignlists="" hiddenborderdisplay="worksheet" interior="group" postexecute="insert" drawcaption="false" width="96.89922480620154%" captionalignment="0" showinput="true" captionposition="1" id="Table5" alignment="left" randomized="false" labelreference="L7362" showgroup="true" order="row"><Table-Column weight="311" separator="true"></Table-Column><Table-Column weight="314" 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