Stability of a predator-prey diffusive model with Leslie-Gower
WEI Chuangwen
CHEN Meiyan
Abstract：The uniform boundedness and the stability of the positive equilibrium of a predator-prey weakly coupled diffusive system with Leslie-Gower are discussed.First,sufficient conditions for the local stability of the positive equilibrium points of the model are derived by applying the linearization method.Then the Lyapunov function is applied to derive sufficient conditions for the global asymptotic stability of the positive equilibrium points of the model.
Keywords：predator-preyLeslie-Gowerdiffusiveuniform boundednessglobal asymptotic stability
Publication Date：2024-09-30
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 48-53 )