## Mathematics & Science
Learning Center |
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## Applications of Differential Equations## Population Dynamics
You should now have:
What do you think? Which model did the better job of describing the data? Neither model is perfect: - The
**Malthusian model**is too low almost the entire time, but looks like it's going to overshoot by quite a bit if we extrapolate it. - The
**Verhulst model**fits the early data well, and the last point, but seems to overestimate in the latter half of the data.
Notice how both models fit the first and last points well. Is this surprising? After all, these were the points we used in calculating our parameters. One measure of a good model is to see how well it predicts the future. Go ahead and evaluate both malthus and verhulst for the year 2050. Let's go look at 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 |