Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure
Fundamental Science Department, North China Institute of Astronautic Engineering, Langfang Hebei 065000, China
Fixed Point Theory and Applications 2010, 2010:527864 doi:10.1155/2010/527864Published: 18 October 2010
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.