Differential Equations Solutions 146

Differential Equations Solutions 146 - solid), and adults...

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156 Chapter 26. Solutions: Case Study: Beetles, Cannibalism, and Chaos 0 5 10 15 20 25 30 35 40 45 50 0 100 200 300 400 time (two-week periods) Results of the LPA model with three different choices of μ a 0 5 10 15 20 25 30 35 40 45 50 0 50 100 150 200 time (two-week periods) 0 5 10 15 20 25 30 35 40 45 50 0 100 200 300 time (two-week periods) Figure 26.1. Model predictions for b =1 1 . 6772 , μ L =0 . 5129 , c el = 0 . 0093 , c ea =0 . 0110 , c pa =0 . 0178 , L (0) = 70 , P (0) = 30 , A (0) = 70 ,and μ A =0 . 1 (top), 0 . 6 (middle), and 0 . 9
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Unformatted text preview: solid), and adults (red dashed). 2 4 6 8 10 12 14 16 18 20 20 40 60 80 100 120 140 160 b Population Equilibrium population as a function of b Larvae Pupae Adults Figure 26.2. Equilibrium populations for L = 0 . 5 , A = 0 . 5 , c el = 0 . 01 , c ea = 0 . 01 , and c pa = 0 . 01 , b = 1 . , 1 . 5 , 2 . , . . . , 20 . . Stable solutions are marked with plusses....
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