Dynamical Properties of a Delay Prey-Predator Model with Disease in the Prey Species Only

被引：5
|
作者：
Shi, Xiangyun [1 ]
Zhou, Xueyong [1 ,2 ]
Song, Xinyu [1 ]
机构：
[1] Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Henan, Peoples R China
[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210046, Jiangsu, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2010年 / 2010卷
基金：
中国国家自然科学基金;
关键词：
ECO-EPIDEMIOLOGIC MODEL; SALTON-SEA; PERSISTENCE; EXTINCTION; STABILITY; PELICANS; SYSTEMS; RISK;
D O I：
10.1155/2010/196204
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A three-dimensional ecoepidemiological model with delay is considered. We first investigate the existence and stability of the equilibria. We then study the effect of the time delay on the stability of the positive equilibrium. The existence of a Hopf bifurcation at the positive equilibrium is obtained through the study of an exponential polynomial equation with delay-dependent coefficients. Numerical simulation with a hypothetical set of data has been carried out to support the analytical findings.
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收藏
页数：16
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