具有Holling-II型的修改的Leslie-Gower捕食-食饵模型的定性分析  

Stability Analysis of a Modified Leslie-gower Predater-Grey Model with Holling-II Functional Response

作　　者：伍秀娟[1] 罗勇[1] 

机构地区：[1]温州大学数学与信息科学学院,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2013年第4期40-47,共8页Journal of Wenzhou University(Natural Science Edition)

基　　金：国家自然科学基金(11001204)

摘　　要：主要研究了具有Holling-II型、修改的Leslie-Gower捕食-食饵系统,对其具有一般非线性增长率和非线性密度制约的模型进行了讨论,得到了正平衡点存在、边界平衡点和正平衡点局部稳定的充分条件,通过构造Lyapunov函数,给出了平衡点处的全局稳定性分析.最后,通过数值模拟对相关的结论进行了验证.A modified Leslie-Gower predator-prey model with Holling-II functional response is studied in this paper. The discussion on the model with non-linear intrinsic growth rate leads to the existence of the inner equilibrium and the sufficient conditions of the stability of the equilibriums. By the constructing of the Lyapunov function, the analysis is made on the sufficient conditions of the global stability of the non-zero equilibriums And some numerical results are tested finally .

关 键 词：Holling-II 局部稳定 LYAPUNOV函数 全局稳定性 

分 类 号：O175.13[理学—数学]