Hopf bifurcation in a predator-prey model
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.
