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Unformatted text preview: rates of growth of the two species, and the carrying capacity of the prey population. //Set the parameters: a = .5 d = 1 e = 1 b = 1 c = .3 f = 1 Experiment with k vary from k = 0 to 2 with 20 values. Use common IC (Iinitial condition) x = 0.25, y = 0.5 for all solutions. You will see the solutions change their behavior as k passes through certain critical bifurcation values. The goal of the project is 1) determine (approximately) the bifurcation values k 2) compare your conclusions with the analysis of equilibria (could "linearized system at equilibria" predict the non-linear bifurcations?) 3) describe the qualitative Sheet1 Page 2 changes in the behavior of solutions and discuss their effect on coexistence of predator - prey....
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This note was uploaded on 05/09/2008 for the course MATH 224 taught by Professor Hahn during the Spring '07 term at Case Western.
- Spring '07