Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 527864, 14 pages
doi:10.1155/2010/527864
Research Article

Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure

Zhichao Jiang and Guangtao Cheng

Fundamental Science Department, North China Institute of Astronautic Engineering, Langfang Hebei 065000, China

Received 9 August 2010; Revised 10 October 2010; Accepted 14 October 2010

Academic Editor: Massimo Furi

Copyright © 2010 Zhichao Jiang and Guangtao Cheng. 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.

Abstract

A delayed predator-prey system with stage structure is investigated. The existence and stability of equilibria are obtained. An explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions is derived by using the normal form and the center manifold theory. Finally, a numerical example supporting the theoretical analysis is given.