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

Hongli Li; Yaolin Jiang; Long Zhang; Zhidong Teng

doi:10.1155/2014/314729

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

Hongli Li
, Yaolin Jiang
, Long Zhang
, Zhidong Teng

Xinjiang University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

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.

源语言	英语
文章编号	314729
期刊	Journal of Applied Mathematics
卷	2014
DOI	https://doi.org/10.1155/2014/314729
出版状态	已出版 - 6 8月 2014
已对外发布	是

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

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