## Mathematics & Science
Learning Center |
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## Applications of Differential Equations## Population Dynamics
Your combined plot should have looked like this: Show[uscensusplot, usverhulstfitplot] Well our best-fitting Verhulst model is by far the best fit for the census data that we have seen so far. It isn't perfect, but we can't really expect perfection when modeling population data. Remember that we used our original Malthus and Verhulst models to predict the US population in 2050, which the U.S. Census Bureau predicts will be 398 million. Neither model did particularly well, though the Verhulst model was better. Now that we've discovered the FindFit command, let's see how well our best-fitting Malthus and Verhulst models do the job. Issue the following two commands in separate cells: usmalthusfit /. t -> 2050 Let's move on and see what you should have gotten... |
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ODE Laboratories: A Sabbatical Project by Christopher A. Barker©2017 San Joaquin Delta College, 5151 Pacific Ave., Stockton, CA 95207, USA e-mail: cbarker@deltacollege.edu |