佛山科学技术学院学报（自然科学版）2024，Vol.42Issue(5)：48-53,6.
具有Leslie-Gower项的捕食者-食饵扩散模型的稳定性
Stability of a predator-prey diffusive model with Leslie-Gower
摘要
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.关键词
捕食者-食饵/Leslie-Gower/扩散/一致有界/全局渐进稳定Key words
predator-prey/Leslie-Gower/diffusive/uniform boundedness/global asymptotic stability分类
数理科学引用本文复制引用
韦创文,陈梅艳..具有Leslie-Gower项的捕食者-食饵扩散模型的稳定性[J].佛山科学技术学院学报（自然科学版）,2024,42(5):48-53,6.基金项目
广西民族大学相思湖学院数字化转型研究专项立项项目(2023SZH026,2023SZH023) （2023SZH026,2023SZH023）
