Hopf Bifurcations and Oscillatory Patterns of a Homogeneous Reaction-Diffusion Singular Predator-Prey Model

被引：0
|
作者：
Bao, Zhenhua [1 ,2 ]
Liu, He [3 ]
机构：
[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China
[2] Liaoning Normal Univ, Sch Math, Dalian 116029, Peoples R China
[3] Inner Mongolia Univ Sci & Technol, Sch Math Phys & Biol Engn, Baotou 014010, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
SPATIOTEMPORAL PATTERNS; SYSTEM; EXTINCTION;
D O I：
10.1155/2013/547425
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A kind of homogeneous reaction-diffusion singular predator-prey model with no-flux boundary condition is considered. By using the abstract simplified Hopf bifurcation theorem due to Yi et al. 2009, we performed detailed Hopf bifurcation analysis of this particular pattern formation system. These results suggest the existence of oscillatory patterns if the system parameters fall into certain parameter ranges. And all these oscillatory patterns are proved to be unstable.
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页数：5
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