Periodic Solution of Impulsive Predator-Prey Models with the Beddington-DeAngelis Functional Response

摘要

In this paper,a predator-prey system with Beddington-DeAngelis functional response is studied,where the n predators preys on one prey. We prove that the system admits very rich dynamics. Using the continuation theorem of coincidence degree theory and analysis techniques, we establish criteria for the existence of periodic solutions of predator-prey models with the Beddington-DeAngelis functional response governed by impulsive differential equations. Further, numerical simulation shows that our models can occur in many forms of complexities including periodic oscillation and Gui chaotic strange attractor.