On the Nature of Bifurcation in a Ratio-Dependent Predator-Prey Model with Delays

被引：0
|
作者：
Xu, Changjin [1 ]
Wu, Yusen [2 ]
机构：
[1] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China
[2] Henan Univ Sci & Technol, Dept Math & Stat, Luoyang 471003, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2013年
基金：
中国国家自然科学基金;
关键词：
HOPF-BIFURCATION; STAGE-STRUCTURE; TIME-DELAY; PERIODIC-SOLUTIONS; 2-PATCH ENVIRONMENTS; SYSTEM; STABILITY; DYNAMICS; DISPERSAL; NETWORK;
D O I：
10.1155/2013/679602
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A ratio-dependent predator-prey model with two delays is investigated. The conditions which ensure the local stability and the existence of Hopf bifurcation at the positive equilibrium of the system are obtained. It shows that the two different time delays have different effects on the dynamical behavior of the system. An example together with its numerical simulations shows the feasibility of the main results. Finally, main conclusions are included.
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收藏
页数：17
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