Stability and Hopf bifurcations of a three-species symbiosis model with delays

被引：3

作者：

Gao, Qin ^{[1
]}

机构：

[1] Hebei Univ Sci & Technol, Sch Econ & Management, Shijiazhuang, Peoples R China

来源：

2009 INTERNATIONAL WORKSHOP ON CHAOS-FRACTALS THEORIES AND APPLICATIONS (IWCFTA 2009) | 2009年

关键词：

symbiosis model; delays; Hopf bifurcations; normal form; center manifold theorem; STAGE-STRUCTURE; PREY; SYSTEM;

D O I：

10.1109/IWCFTA.2009.63

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, a three-species symbiosis Lotka Volterra model with discrete delays is considered. The stability of positive equilibrium and the existence of Hopf bifurcations are investigated firstly and then the direction and the stability criteria of the bifurcating periodic solutions are obtained by the normal form theory and the center manifold theorem.

引用

页码：272 / 276

页数：5

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