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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

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

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

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.

Keywords

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

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Authors’ Affiliations

(1)
Fundamental Science Department, North China Institute of Astronautic Engineering, Langfang, Hebei, 065000, China

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