Global Stability for a Three-Species Food Chain Model in a Patchy Environment

被引：0
作者：
Li, Hongli [1 ]
Jiang, Yaolin [1 ]
Zhang, Long [1 ]
Teng, Zhidong [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2014年
基金：
中国国家自然科学基金;
关键词：
DISPERSAL; DYNAMICS; DELAYS;
D O I：
10.1155/2014/314729
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate a three-species food chain model in a patchy environment where prey species, mid-level predator species, and top predator species can disperse among n different patches (n > 2). By using the method of constructing Lyapunov functions based on graph-theoretical approach for coupled systems, we derive sufficient conditions under which the positive equilibrium of this model is unique and globally asymptotically stable if it exists.
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页数：5
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