1687-1812-2010-527864 1687-1812 Research Article <p>Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure</p> JiangZhichaojzhsuper@163.com ChengGuangtaozishuo2008@yeah.net

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

 Fixed Point Theory and Applications 1687-1812 2010 2010 1 527864 http://www.fixedpointtheoryandapplications.com/content/2010/1/527864 10.1155/2010/527864 982010101020101410201018102010 2010Copyright © 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.

Publisher note

To access the full article, please see PDF