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

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作者
Zhichao Jiang
Guangtao Cheng
机构
[1] North China Institute of Astronautic Engineering,Fundamental Science Department
关键词
Theoretical Analysis; Periodic Solution; Normal Form; Differential Geometry; Hopf Bifurcation;
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摘要
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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