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

Fixexd point theory and applications

Guangtao Cheng¹  Zhichao Jiang¹ 

[1] Fundamental Science Department, North China Institute of Astronautic Engineering, Langfang, China

关键词: Theoretical Analysis;    Periodic Solution;    Normal Form;    Differential Geometry;    Hopf Bifurcation;   

DOI  :  10.1155/2010/527864

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY