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

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Global asymptotic properties for a Leslie-Gower food chain model

1. MACSI, Department of Mathematics and Statistics, University of Limerick, Limerick

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.
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Keywords Lyapunov function; Leslie-Gower model; global stability.

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


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