Bifurcation analysis of an autonomous epidemic predator-prey model with delay

被引：21
|
作者：
Xu, Changjin [1 ]
Liao, Maoxin [2 ]
机构：
[1] Guizhou Coll Finance & Econ, Sch Math & Stat, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China
[2] Nanhua Univ, Sch Math & Phys, Hengyang 421001, Peoples R China
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2014年 / 193卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Predator-prey model; Time delay; Stability; Hopf bifurcation; Periodic solution; HOPF-BIFURCATION; TIME-DELAY; SYSTEM; STABILITY; DIFFUSION; DYNAMICS;
D O I：
10.1007/s10231-012-0264-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a class of an autonomous epidemic predator-prey model with delay is considered. Its linear stability and Hopf bifurcation are investigated. Applying the normal form theory and center manifold theory, the explicit formulas for determining the stability and the direction of the Hopf bifurcation periodic solutions are derived. Some numerical simulations for justifying the theoretical analysis are also provided. Finally, main conclusions are included.
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页码：23 / 38
页数：16
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