Global asymptotic properties for a Leslie-Gower food chain model
Andrei Korobeinikov, William T. Lee
TL;DR
This paper analyzes the long-term behavior of a Leslie-Gower food chain model using Lyapunov functions to prove the stability of the system's equilibrium.
Contribution
It introduces a Lyapunov function approach to establish global stability in a Leslie-Gower food chain model.
Findings
Proves global asymptotic stability of the equilibrium.
Constructs a Lyapunov function for the model.
Shows stability for the coexisting state.
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.
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