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

作　　者：韦创文 陈梅艳 WEI Chuangwen;CHEN Meiyan(College of Business,Xiangsihu College of GuangXi Minzu University,Nanning 530000,China;College of Sciences and Engineering,Xiangsihu College of GuangXi Minzu University,Nanning 530000,China)

机构地区：[1]广西民族大学相思湖学院金融科技学院,广西南宁530000 [2]广西民族大学相思湖学院理工学院,广西南宁530000

出　　处：《佛山科学技术学院学报（自然科学版）》2024年第5期48-53,共6页Journal of Foshan University(Natural Science Edition)

基　　金：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)。

摘　　要：讨论具有Leslie-Gower项的捕食者-食饵弱耦合扩散系统解的一致有界性和正平衡点的稳定性。首先,应用线性化方法得出了该模型正平衡点的局部稳定性的充分条件。其次,应用Lyapunov函数方法得出了该模型正平衡点的全局渐近稳定性的充分条件。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 

分 类 号：O175.26[理学—数学]