Complex Dynamics and Periodic Feedback Control in a Discrete-Time Predator-Prey System

The dynamics of a discrete-time predator-prey system is investigated in the closed first quadrant . First, the existence and local stability of the fixed points in the closed first quadrant are discussed in detail. Then, by using center manifold theorem and bifurcation theory, it is proved rigorously that when the bifurcation parameters vary in the small… (More)