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  • Research Article
  • Open Access

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

Fixed Point Theory and Applications20102010:527864

  • Received: 9 August 2010
  • Accepted: 14 October 2010
  • Published:


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.


  • Theoretical Analysis
  • Periodic Solution
  • Normal Form
  • Differential Geometry
  • Hopf Bifurcation

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Authors’ Affiliations

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


© 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.