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2014 Global Stability for a Three-Species Food Chain Model in a Patchy Environment
Hongli Li, Yaolin Jiang, Long Zhang, Zhidong Teng
J. Appl. Math. 2014: 1-5 (2014). DOI: 10.1155/2014/314729

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 (n2). 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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Hongli Li. Yaolin Jiang. Long Zhang. Zhidong Teng. "Global Stability for a Three-Species Food Chain Model in a Patchy Environment." J. Appl. Math. 2014 1 - 5, 2014. https://doi.org/10.1155/2014/314729

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131508
MathSciNet: MR3248906
Digital Object Identifier: 10.1155/2014/314729

Rights: Copyright © 2014 Hindawi

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