The Effect of Time Delay on Dynamical Behavior in an Ecoepidemiological Model

被引：1
|
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 | 2012年
基金：
中国国家自然科学基金;
关键词：
PREDATOR-PREY SYSTEM; PERIODIC-SOLUTIONS; HOPF-BIFURCATION; STAGE-STRUCTURE; 2-PATCH ENVIRONMENTS; STABILITY; DISPERSAL; CRITERIA;
D O I：
10.1155/2012/286961
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A delayed predator-prey model with disease in the prey is investigated. The conditions for the local stability and the existence of Hopf bifurcation at the positive equilibrium of the system are derived. The effect of the two different time delays on the dynamical behavior has been given. Numerical simulations are performed to illustrate the theoretical analysis. Finally, the main conclusions are drawn.
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页数：18
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