Epidemiology Problems - Page 4

Applications of Systems of Differential Equations

Epidemiology: The Spread of Disease

 

(continued from last page...)

Your graph should look like this:

Plot of Both

Look at the picture carefully, remembering that the green graph represents infected people, and the red graph represents susceptibles, and consider the following questions:

  • Does the relationship between the two groups meet your expectations?
  • Do you notice what is happening on the red graph at the time there is a maximum value on the green graph? Is this realistic?
  • Does the fact that the two graphs seem to head towards horizontal asymptotes make physical sense, in fact, what does it mean physically?

Creating a Parametric Graph of Infecteds vs. Susceptibles

Well, we've done this next part before (with the Predator-Prey laboratory.) The command we need to create a parametric graph is:

disease1plot=
   ParametricPlot[{sus1,inf1},
   {t,0,30}, PlotRange->All, AxesOrigin->{0, 0}]

Go do it in Mathematica now!

Let's go look at the parametric graph that you just made...

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