ANALYSIS OF AN ECO-EPIDEMIOLOGICAL MODEL WITH TIME DELAY

被引：7
|
作者：
Zhu, Hui [1 ,2 ]
Xiong, Zuoliang [1 ]
Wang, Xin [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
[2] Huaiyin Inst Technol, Dept Comp Sci, Huaian 223002, Peoples R China
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2008年 / 38卷 / 05期
关键词：
Eco-epidemiological model; stability; Hopf bifurcation; time delay;
D O I：
10.1216/RMJ-2008-38-5-1877
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An eco-epidemiological model with disease in the predator is studied in this paper. Maturity and digestion delay are considered. It is assumed that the infected predator can't prey. The existence of disease-free and endemic equilibria are obtained. The conditions of locally asymptotic stability of equilibria are obtained by discussing eigenvalue equations of the equilibria. Furthermore, global asymptotic stability of disease-free equilibria and the conditions under which the model hold a Hopf bifurcation are discussed, and a numerical simulation is given.
引用
收藏
页码：1877 / U3
页数：10
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