Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 195382, 11 pages
Research Article

Chaos in a Predator-Prey System with Impulsive Perturbations and Stage Structure for the Predator

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

Received 23 May 2009; Accepted 18 September 2009

Academic Editor: Guang Zhang

Copyright © 2009 Bin Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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).