Differential Equations Solutions 148

Differential Equations Solutions 148 - assuming that this...

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158 Chapter 26. Solutions: Case Study: Beetles, Cannibalism, and Chaos 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 500 1000 1500 Results of the LPA model with different choices of μ a Larvae 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 200 400 600 800 Pupae 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 200 400 600 800 Adults Figure 26.3. The bifurcation diagram for the data in Problem 3. 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 26.4. Model predictions for Colony 1. Poisson error, but by using the log function in their minimization, the authors are
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Unformatted text preview: assuming that this is how the error behaves. Even so, the estimates, shown in Figure 26.8, range from 1.00 to 9.00, quite a large change. To estimate the backward error, I varied b , keeping the other parameters at their optimal values, and plotted the resulting residual vs. b in Figure 26.9. We see that the residual is not very sensitive to changes in b ....
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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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