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

Hongli Li, Yaolin Jiang, Long Zhang and Zhidong Teng

Journal of Applied Mathematics, 2014, vol. 2014, 1-5

Abstract:

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 different patches . 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:314729

DOI: 10.1155/2014/314729

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