Journal of Applied Mathematics

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

Hongli Li, Yaolin Jiang, Long Zhang, and Zhidong Teng

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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 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.

Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 314729, 5 pages.

Dates
First available in Project Euclid: 2 March 2015

Permanent link to this document
https://projecteuclid.org/euclid.jam/1425305950

Digital Object Identifier
doi:10.1155/2014/314729

Mathematical Reviews number (MathSciNet)
MR3248906

Citation

Li, Hongli; Jiang, Yaolin; Zhang, Long; Teng, Zhidong. Global Stability for a Three-Species Food Chain Model in a Patchy Environment. J. Appl. Math. 2014 (2014), Article ID 314729, 5 pages. doi:10.1155/2014/314729. https://projecteuclid.org/euclid.jam/1425305950


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