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.
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页数：16
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