Differential Equations Solutions 150

Differential Equations Solutions 150 - are much smaller,...

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160 Chapter 26. Solutions: Case Study: Beetles, Cannibalism, and Chaos 0 2 4 6 8 10 12 14 16 18 20 0 200 400 600 Predictions by Dennis et al. (+) and our calculations (square) Larvae 0 2 4 6 8 10 12 14 16 18 20 0 100 200 300 Pupae 0 2 4 6 8 10 12 14 16 18 20 60 80 100 120 140 Adults Figure 26.7. Model predictions for Colony 4. But as a fnal attempt, I used a continuation algorithm, repeating the compu- tations From ±igure 26.10, but starting each minimization From the optimal point Found For the previous value oF b . The resulting residuals, shown in ±igure 26.11,
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Unformatted text preview: are much smaller, and the b value is somewhat better determined – probably be-tween 5 and 10. Even more interesting, the ftted model fnally gives a reasonable approximation oF the data; see ±igure 26.12. To check the reliability oF these estimates, it would be a good idea to repeat the experiment For the data For the other three colonies, and to repeat the least squares calculations using a variety oF initial guesses....
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This note was uploaded on 01/21/2012 for the course MAP 3302 taught by Professor Dr.robin during the Fall '11 term at University of Florida.

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