具Holling Ⅳ功能反应的捕食与被捕食模型的稳定性分析  

The Global Stability of a Predator-Prey System of with Holling's Type Ⅳ Functional Response

作　　者：丁建华 金俊栋[2] DING Jian-hua JIN Jun-dong(Gansu Vocational ＆ Technical College of Nonferrous Metallurgy, Jinchang 737100, China College of Science, Gansu Agricultural University, Lanzhou 730070, China)

机构地区：[1]甘肃有色冶金职业技术学院公共基础部,甘肃金昌737100 [2]甘肃农业大学理学院,甘肃兰州730070

出　　处：《洛阳师范学院学报》2017年第5期11-13,共3页Journal of Luoyang Normal University

基　　金：国家自然科学基金资助项目(10771048)

摘　　要：研究了具Holling Ⅳ功能反应的捕食与被捕食模型,讨论了系统的有界性.采用Routh-Hurwitz判别法得到正平衡点局部渐近稳定性的充分条件,同时通过构建李亚普洛夫函数得到正平衡点全局渐近稳定性的条件.We consider a predator-prey system model with holling＇ s type IV functional response, and study the boundedness of solutions. We get a sufficient condition of local stability of positive equilibrium by applying Routh-Hurwitz criteria. At the same time, we consider the globally asymptotical stability of positive equilibrium by constructing Lyapunov function.

关 键 词：平衡点 稳定性 HOLLING Ⅳ功能反应 

分 类 号：O175.14[理学—数学]