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2009, 6(3): 585-590. doi: 10.3934/mbe.2009.6.585

Global asymptotic properties for a Leslie-Gower food chain model

1. 

MACSI, Department of Mathematics and Statistics, University of Limerick, Limerick, Ireland, Ireland

Received  July 2008 Revised  October 2008 Published  June 2009

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.
Citation: Andrei Korobeinikov, William T. Lee. Global asymptotic properties for a Leslie-Gower food chain model. Mathematical Biosciences & Engineering, 2009, 6 (3) : 585-590. doi: 10.3934/mbe.2009.6.585
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