Hopy bifurcation and stability analysis in a predator-prey model with distributed delays

被引：0
|
作者：
Chen, Hongbing [1 ]
机构：
[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Gansu, Peoples R China
来源：
MODERN TECHNOLOGIES IN MATERIALS, MECHANICS AND INTELLIGENT SYSTEMS | 2014年 / 1049卷
关键词：
Hopf bifurcation; stability; Time delay; Equilibrium point;
D O I：
10.4028/www.scientific.net/AMR.1049-1050.1400
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, A mathematical model of two species with stage structure and distributed delays is investigated, the necessary and sufficient of the stable equilibrium point are studied. Further, by analyze the associated characteristic equation, it is founded that Hopf bifurcation occurs when crosses some critical value. The direction of Hopf bifurcation as well as stability of periodic solution are studied. Using the normal form theory and center manifold method.
引用
收藏
页码：1400 / 1402
页数：3
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