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Mathematics & Science Learning Center
Computer Laboratory

 

Applications of Differential Equations

Population Dynamics

(continued from last page...)

Your results should have been as follows:

usmalthusfit /. t -> 2050
Best Malthus Prediction
usverhulstfit /. t -> 2050
Best Verhulst Prediction

So the Malthus prediction is still wildly wrong, missing the U.S. Census Bureau's 398 million mark by 174 million people, or 44%! But the Verhulst prediction is doing an incredibly good job, falling shy by a little less than a million people, or less than 0.3%!

We've now completed our rather long exploration of modeling the population of the United States. Now it's your turn. I'd like you to go through the work we've done on the US population on a new population. Let's start a new page before we get into the details...


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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