ANALYSIS OF A DELAY PREY-PREDATOR MODEL WITH DISEASE IN THE PREY SPECIES ONLY

被引：23

作者：

Zhou, Xueyong ^{[1
]}

Shi, Xiangyun ^{[1
]}

Song, Xinyu ^{[1
]}

机构：

[1] Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Henan, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 46卷 / 04期

基金：

中国国家自然科学基金;

关键词：

predator-prey model; eco-epidemiology; delay; Hopf bifurcation; HOPF-BIFURCATION ANALYSIS; ECO-EPIDEMIOLOGIC MODEL; MODIFIED LESLIE-GOWER; TIME-DELAY; GLOBAL STABILITY; SALTON-SEA; II SCHEMES; SYSTEMS; PERSISTENCE; PERMANENCE;

D O I：

10.4134/JKMS.2009.46.4.713

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a three-dimensional eco-epidemiological model with delay is considered. The stability of the two equilibria, the existence of Hopf bifurcation and the permanence are investigated. It is found that Hopf bifurcation occurs when the delay tau passes though a sequence of critical values. The estimation of the length of delay to preserve stability has also been calculated. Numerical simulation with a hypothetical set of data has been done to support the analytical findings.

引用

页码：713 / 731

页数：19

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