Global asymptotic properties for a Leslie-Gower food chain model

Details Global asymptotic properties for a Leslie-Gower food chain model Global asymptotic properties for a Leslie-Gower food chain model

2011-04-02

arxiv.org/abs/1104.0343v1

Mathematical Biosciences and Engineering 6:585-590 (2009)

Biology

Quantitative Biology

Populations and Evolution

5 Pages, 1 figure. Keywords: Leslie-Gower model, Lyapunov function, global stability

Scientific paper

10.3934/mbe.2009.6.585

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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