GLOBAL DYNAMICS OF AN ECO-EPIDEMIOLOGICAL MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE

被引：0

作者：

Tian, Xiaohong ^{[1
]}

Xu, Rui ^{[1
]}

Wang, Zhili ^{[1
]}

机构：

[1] Shijiazhuang Mech Engn Coll, Inst Appl Math, Shijiazhuang, Hebei, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2015年

基金：

中国国家自然科学基金;

关键词：

Eco-epidemiological model; LaSalle's invariance principle; Global stability analysis;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a predator-prey eco-epidemiological model with Beddington-DeAngelis functional response is investigated. In the model, it is assumed that the predator population suffers a transmissible disease. By means of Lyapunov functions and LaSalle's invariance principle, sufficient conditions are derived for the global stability of the endemic-coexistence equilibrium, the disease-free equilibrium and the predator-extinction equilibrium of the system, respectively.

引用

页数：16

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