Open Access

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

Fixed Point Theory and Applications20102010:527864

https://doi.org/10.1155/2010/527864

Received: 9 August 2010

Accepted: 14 October 2010

Published: 18 October 2010

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.

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Authors’ Affiliations

(1)
Fundamental Science Department, North China Institute of Astronautic Engineering

Copyright

© Z. Jiang and G. Cheng. 2010

This article is published under license to BioMed Central Ltd. 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.