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