617 lines
249 KiB
Text
617 lines
249 KiB
Text
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<?xml version="1.0" encoding="UTF-8"?>
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<Worksheet>
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<Version major="2019" minor="1"/>
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<Label-Scheme value="2" prefix=""/>
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</View-Properties>
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<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" elisiontermsbefore="100" elisiontermsafter="100" historytimestamp="false" screenwidth="79" indentamount="4" plotoutput="terminal" screenpixelheight="1200" rtablesize="[10, 10]" useclientjvm="true" labelwidth="20" postplot="" typesetting="extended" ansi="false" ansicolor="[]" elisiondigitsthreshold="10000" showassumed="1" ansilprint="false" trailingsemicolon="true" errorcursor="false" labelling="true" screenheight="25" prompt="> " verboseproc="1" latexwidth="8.0" ShowLabels="true"/>
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<Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
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</Styles>
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<Startup-Code startupcode="restart; \012interface(warnlevel = 0); \012with(DETools);\012with(plots); \012with(plottools); \012\012SIRclassic := module()\012\012local SIR, SU_0, In_0, R_0, N, SIRsol, b, g ;\012export MakePlotSIRsol ;\012uses DT=DocumentTools;\012\012# beta: b\012# gamma: g > 0\012\012\012SIR:=diff(Su(t),t)=-b*Su(t)*In(t),diff(In(t),t)=b*Su(t)*In(t)-g*In(t), diff(R(t),t)=g*In(t):\012Su_0:=0.9995; \012In_0:=0.0005;\012R_0:=0; \012\012\012SIRsol:=dsolve({SIR, Su(0)=Su_0, In(0)=In_0, R(0) = R_0},{Su(t), In(t), R(t)}, parameters=[b ,g], type=numeric, 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() ;"/>
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<Metadata-table>
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<Metadata-category name="<default>"/>
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<Metadata-tag id="0" category="<default>" name="Document Properties">
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<Metadata-attribute name="X-CloudURL" value="http://mymaplecloud.appspot.com"/>
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<Metadata-attribute name="X-CloudId" value="5745946419789824"/>
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<Metadata-attribute name="Item List" value="true"/>
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<Metadata-attribute name="Keywords" value="<default>"/>
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<Metadata-attribute name="X-CloudGroup" value="private"/>
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<Metadata-attribute name="Author" value="<default>"/>
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<Metadata-attribute name="Title" value="<default>"/>
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<Metadata-attribute name="X-CloudXId" value="183659"/>
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<Metadata-attribute name="Subject" value="<default>"/>
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</Metadata-tag>
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</Metadata-table>
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<Task-table>
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<Task-category name="<default>"/>
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</Task-table>
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<Task/><Presentation-Block>
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</Input>
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</Group></Presentation-Block><Presentation-Block>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L27" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal" alignment="centred"> <Font bold="true" family="Arial">Figure 1</Font></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block><Presentation-Block>
|
||
|
|
<Group view="presentation" inline-output="false" labelreference="L8279" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
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<Input><Text-field style="Text" layout="Normal"></Text-field>
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</Input>
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</Group></Presentation-Block><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L124" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" family="Arial" layout="Normal"><Font bold="true" family="Arial">The classic SIR</Font><Font family="Arial"> model can be described by <Font bold="true">three functions</Font>:</Font></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block><Table visible="true" editable="true" exterior="none" pagebreak="cell" showlabel="true" title="ThreeDE" plotalignlists="" hiddenborderdisplay="worksheet" interior="none" postexecute="insert" drawcaption="false" drawtitle="false" width="39.8%" captionalignment="0" showinput="true" captionposition="1" id="Table1" alignment="left" randomized="false" labelreference="L85" showgroup="true" order="row"><Table-Column weight="40" separator="true"></Table-Column><Table-Column weight="11" separator="true"></Table-Column><Table-Column weight="212" 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"><Presentation-Block>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L86" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
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<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiU0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=</Equation></Text-field>
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</Input>
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||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L87" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal">:</Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L88" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" family="Arial" layout="Normal"><Font family="Arial">fraction of susceptibles</Font></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" 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" hide-output="true" inline-output="false" labelreference="L89" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=</Equation></Text-field>
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||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L90" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal">:</Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L91" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">fraction of infected persons</Font></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" 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" hide-output="true" inline-output="false" labelreference="L92" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRiw2JlEidEYnRi9GMkY1RjIvRjZRJ25vcm1hbEYnRjJGQEYyRkA=</Equation></Text-field>
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||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L93" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal">:</Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L94" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">fraction of recovered persons</Font></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L28" 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" inline-output="false" labelreference="L8281" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Font bold="true" family="Arial">parameters</Font><Font family="Arial">:</Font></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block><Table visible="true" editable="true" exterior="none" pagebreak="cell" showlabel="true" title="Parameters" plotalignlists="" hiddenborderdisplay="worksheet" interior="none" postexecute="insert" drawcaption="false" drawtitle="false" width="33.231474407944994%" captionalignment="0" showinput="true" captionposition="1" id="Table2" alignment="left" randomized="false" labelreference="L113" showgroup="true" order="row"><Table-Column weight="24" separator="true"></Table-Column><Table-Column weight="29" separator="true"></Table-Column><Table-Column weight="22" separator="true"></Table-Column><Table-Column weight="16" separator="true"></Table-Column><Table-Column weight="344" 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"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L114" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NDY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NDY7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0</Equation></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L115" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=</Equation></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L116" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW5HRiQ2JVEiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi9GMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW5HRiQ2JVEiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi9GMg==</Equation></Text-field>
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||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L117" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal">:</Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L118" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">infection (transmission) rate</Font></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" 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" hide-output="true" inline-output="false" labelreference="L119" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NDc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEnJiM5NDc7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrZXhlY3V0YWJsZUdGMS8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGMkY0</Equation></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L120" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LlEiPkYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGRUYvRjI=</Equation></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L121" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW5HRiQ2JVEiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi9GMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW5HRiQ2JVEiMEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRi9GMg==</Equation></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L122" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal">:</Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L123" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" family="Arial" layout="Normal"><Font family="Arial">removal rate</Font></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" inline-output="false" labelreference="L8283" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lK2V4ZWN1dGFibGVHRjFGMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lK2V4ZWN1dGFibGVHRjFGMg==</Equation></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" inline-output="false" labelreference="L8284" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEiPkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLyUrZXhlY3V0YWJsZUdGNEYv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEiPkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZDLyUrZXhlY3V0YWJsZUdGNEYv</Equation></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" inline-output="false" labelreference="L8285" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal">0</Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" inline-output="false" labelreference="L8286" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" inline-output="false" labelreference="L8287" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Font family="Arial">basic reproduction ratio (see below)</Font></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell></Table-Row></Table><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L8289" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" family="Arial" layout="Normal"></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L43" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" family="Arial" layout="Normal"><Font bold="true" family="Arial">differential equations with two parameters</Font><Font family="Arial">:</Font></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L48" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field prompt="> " style="Maple Input" family="Arial" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUSZBcmlhbEYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L61" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" family="Arial" layout="Normal"></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L71" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" family="Arial" layout="Normal"></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block><Table visible="true" editable="true" exterior="none" pagebreak="cell" showlabel="true" title="DiffEqns" plotalignlists="" hiddenborderdisplay="worksheet" interior="none" postexecute="insert" drawcaption="false" drawtitle="false" width="54.7746371275783%" captionalignment="0" showinput="true" captionposition="1" id="Table3" alignment="left" randomized="false" labelreference="L138" showgroup="true" order="row"><Table-Column weight="61" separator="true"></Table-Column><Table-Column weight="101" separator="true"></Table-Column><Table-Column weight="51" separator="true"></Table-Column><Table-Column weight="198" separator="true"></Table-Column><Table-Column weight="306" 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" hide-output="true" inline-output="false" labelreference="L139" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal">(1)</Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L140" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
|
|
<Input><Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkmbWZyYWNHRiQ2KC1GIzYmLUkjbWlHRiQ2JlEjZFNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JS1GIzYlLUYxNiZRInRGJ0Y0RjdGOkY3L0Y7USdub3JtYWxGJ0Y3RkVGN0ZFLUYjNiUtRjE2JlEjZHRGJ0Y0RjdGOkY3RkUvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRlEvJSliZXZlbGxlZEdGOS1GMTYjUSFGJ0Y3RkU=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkmbWZyYWNHRiQ2KC1GIzYmLUkjbWlHRiQ2JlEjZFNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JKG1mZW5jZWRHRiQ2JS1GIzYlLUYxNiZRInRGJ0Y0RjdGOkY3L0Y7USdub3JtYWxGJ0Y3RkVGN0ZFLUYjNiUtRjE2JlEjZHRGJ0Y0RjdGOkY3RkUvJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRlEvJSliZXZlbGxlZEdGOS1GMTYjUSFGJ0Y3RkU=</Equation></Text-field>
|
||
|
|
</Input>
|
||
|
|
</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
|
||
|
|
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L141" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
|
||
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<Input><Text-field style="Text" bold="true" layout="Normal"><Font bold="true">(non-linear differential equation)</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
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<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>
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<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="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GLzYjUSFGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEifkYnRjUvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZSLyUrZXhlY3V0YWJsZUdGNEY1">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYlLUkjbWlHRiQ2JVEnJiM5NjE7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GLzYjUSFGJy8lL3N1YnNjcmlwdHNoaWZ0R1EiMEYnLUkjbW9HRiQ2LVEifkYnRjUvJSZmZW5jZUdGNC8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZSLyUrZXhlY3V0YWJsZUdGNEY1</Equation><Font family="Arial">is often ambiguously denoted </Font><Equation executable="true" style="2D Math" input-equation="" display="LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYsNiZRIjBGJ0YvRjJGNS8lL3N1YnNjcmlwdHNoaWZ0R0Y6">LUklbXN1Ykc2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUYsNiZRIjBGJ0YvRjJGNS8lL3N1YnNjcmlwdHNoaWZ0R0Y6</Equation><Font family="Arial">, leading to potential confusion with </Font><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiQtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGQUYyRkFGQQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiQtSSNtbkdGJDYlUSIwRidGMi9GNlEnbm9ybWFsRidGQUYyRkFGQQ==</Equation><Font family="Arial">, which is the initial value of the recovered function </Font><Equation executable="true" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiQtRiw2JlEidEYnRi9GMkY1L0Y2USdub3JtYWxGJ0YyRkBGQA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYlLUYjNiQtRiw2JlEidEYnRi9GMkY1L0Y2USdub3JtYWxGJ0YyRkBGQA==</Equation><Font family="Arial">. (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>
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</Section>
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<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" 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"><Presentation-Block>
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<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" encoding="UTF-8" family="Arial">Infection (transmission) rate (\316\262)</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" encoding="UTF-8" family="Arial">Removal rate (\316\263)</Font></Text-field>
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</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
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<Input><Text-field style="Text" layout="Normal" alignment="centred"><EC-Slider id="Slider_beta" tooltip="Infection rate" lower-bound="0.0" upper-bound="2.0" control-position="1.6603774" major-tick-spacing="0.25" minor-ticks="10.0" inputenabled="true" visible="true" filled="true" orientation="false" show-labels="true" show-ticks="true" snap-to-ticks="false" continuous-update="true" pixel-width="252" pixel-height="47" fontcolor="[0,0,0]" fillcolor="[255,255,255]"><MapleCode action="position-event-handler">SIRclassic:-MakePlotSIRsol() ;
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</MapleCode></EC-Slider><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input><Text-field style="Text" layout="Normal" alignment="centred"><EC-Slider id="Slider_gamma" tooltip="Removal rate" lower-bound="0.1" upper-bound="0.8" control-position="0.4303738" major-tick-spacing="0.1" minor-ticks="10.0" inputenabled="true" visible="true" filled="true" orientation="false" show-labels="true" show-ticks="true" snap-to-ticks="false" continuous-update="true" pixel-width="254" pixel-height="49" fontcolor="[0,0,0]" fillcolor="[255,255,255]"><MapleCode action="position-event-handler">SIRclassic:-MakePlotSIRsol() ;</MapleCode></EC-Slider><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input><Text-field style="Text" family="Arial" layout="Normal"><Font size="11" family="Arial">Susceptibles, fraction at t=0</Font></Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7470" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7466" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
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<Input><Text-field style="Text" layout="Normal"><Font size="11" family="Arial">Infected, fraction at t=0</Font></Text-field>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7475" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7474" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
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</Group></Presentation-Block></Table-Cell></Table-Row><Table-Row align="center" separator="true"><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7469" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
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<Input><Text-field style="Text" layout="Normal"><Font size="11" family="Arial">Recovered, fraction at t=0</Font></Text-field>
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</Input>
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</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7468" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
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</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7467" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7483" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
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<Input><Text-field style="Text" layout="Normal"><Font size="11" family="Arial">Infection (transmission) rate</Font></Text-field>
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</Input>
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</Group></Presentation-Block></Table-Cell><Table-Cell padding="5" visible="true" fillcolor="[255,255,255]" rowspan="1" backgroundstyle="0" columnspan="1"><Presentation-Block>
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<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L7463" drawlabel="true" applyint="true" applyrational="true" applyexponent="false">
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<Input><Text-field style="Text" layout="Normal"><Font size="11" family="Arial">Average infectious period</Font></Text-field>
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<Input><Text-field style="Text" layout="Normal"><Font family="Arial">Bloomfield V [2009]: <Font italic="true">Computer Simulation and Data Analysis in Molecular Biology and Biophysics. An Introduction Using R.</Font> Springer, Dordrecht, Heidelberg, London, NewYork</Font></Text-field>
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