Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 195382, 11 pages
doi:10.1155/2009/195382

Chaos in a predator-prey system with impulsive perturbations and stage structure for the predator

Bin Zhang , Shuai Shi and Woye Liu

Fifth Department, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China

Abstract

We investigate a predator-prey model with stage structure for the predator and periodic constant impulsive perturbations. Conditions for extinction of prey and immature predator are given. By using the Floquet theory and small amplitude perturbation skills, we consider the local stability of prey, immature predator eradication periodic solution. Furthermore, by using the method of numerical simulation, the influence of the impulsive control strategy on the inherent oscillation is investigated, which shows rich complex dynamic (such as periodic doubling bifurcation, periodic halving bifurcation, nonunique attractors, chaos, and periodic windows).