The Stability and Bifurcation in a Ratio-Dependent Predator-Prey Model

被引：0

作者：

Guo, Shuang ^{[1
]}

Zhang, Ling ^{[1
]}

Zhao, Dongxia ^{[1
]}

机构：

[1] Daqing Normal Univ, Sch Math Sci, Daqing 163712, Peoples R China

来源：

INTERNATIONAL CONFERENCE ON COMPUTATIONAL AND INFORMATION SCIENCES (ICCIS 2014) | 2014年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we analyze the existence of Hopf bifurcation for a ratio-dependent predator-prey models. The result indicates that the coexisting equilibrium (E) over bar (x*, y*, z*) is locally asymptotically stable when tau = 0. The model has a Hopf bifurcation point tau = tau(0) and a stable periodic solution near the equilibrium point E along with the time delay increase. It's consistent with the numerical simulation of dynamic phenomena and the result of theoretical analysis.

引用

页码：1003 / 1008

页数：6

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