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Global asymptotic properties for a Leslie-Gower food chain model

By Andrei Korobeinikov and William T. Lee

Abstract

We study global asymptotic properties of a continuous time Leslie-Gower food chain model. We construct a Lyapunov function which enables us to establish global asymptotic stability of the unique coexisting equilibrium state.Comment: 5 Pages, 1 figure. Keywords: Leslie-Gower model, Lyapunov function, global stabilit

Topics: Quantitative Biology - Populations and Evolution, Primary: 92D30, Secondary: 34D20
Year: 2011
DOI identifier: 10.3934/mbe.2009.6.585
OAI identifier: oai:arXiv.org:1104.0343
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