Bifurcation Analysis for a Delayed Predator-Prey System with Stage Structure
© Z. Jiang and G. Cheng. 2010
Received: 9 August 2010
Accepted: 14 October 2010
Published: 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.
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