Lyapunov Functions for a Recation-Diffusion Model of Leslie-Gower Type

The aim of this work is to construct Lyapunov functions to extend the global stability results of a Leslie-Gower reaction-diffusion model in a bounded domain Ω ∈ Rn, with no-flux boundary condition. We extended the global stability results to other parameter regions of the reaction-diffusion model using these Lyapunov functions.