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Computer Laboratory

 

Applications of Differential Equations

Population Dynamics

(continued from last page...)

Your command should have produced this result:

FindFit[uscensus, usmalthusfit, {{p0, 10^-9}, {k, .02}}, t]
New Malthus Parameters

The new value of p0 is still ridiculously small, but we've already discussed why this may not be so bad. The value of k is somewhat smaller than we previously thought, but maybe that will make our new model do a better job of fitting all of our data, and not just the starting and ending points. Let's plug this values into our model, and see how this affects our graphs. Issue the following command, which plugs the results we just found into the usmalthusfit variable:

usmalthusfit=usmalthusfit/.%

Let's go see what you should have gotten...


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ODE Laboratories: A Sabbatical Project by Christopher A. Barker

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