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