Hopf bifurcation in a predator-prey model - Maple Application Center
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Hopf bifurcation in a predator-prey model

: Matt Miller
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The behavior of the solutions of a Dynamic System is often strongly dependent upon its parameters. As one varies a parameter continuously, equilibrium points can come and go, spawning limit cycles which then may survive or fade away. An example is Hopf Bifurcation in a predator-prey model. Using animation, we examine the bifurcation as a parameter changes, first with a single trajectory and then with multiple trajectories. Finally, a two-variable animation is created which shows how another parameter in the system affects the bifurcation.

Application Details

Publish Date: June 18, 2001
Created In: Maple V
Language: English

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