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Mathematics & Science Learning Center
Computer Laboratory


Applications of Differential Equations

Population Dynamics

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Your new attempt to find the best fitting Verhuslt parameters should have gone like this:

FindFit[uscensus, usverhulstfit, {{l, 10^8}, {k, .02}}, t]
Better Verhulst FindFit

That's much better! We can accept that the United States will have a peak population of a little over half a billion, and that the growth rate is a little higher than 2%. Now subsitute these values into usverhulstfit by issuing the command:

usverhulstfit = usverhulstfit/.%

Let's move on and see what you should have gotten...

Compass If you're lost, impatient, want an overview of this laboratory assignment, or maybe even all three, you can click on the compass button on the left to go to the table of contents for this laboratory assignment.

ODE Laboratories: A Sabbatical Project by Christopher A. Barker

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