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：
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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.
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页码：1003 / 1008
页数：6
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