摘要
对于具有常数存放率,且均具有密度制约条件的HollingⅡ型捕食系统,利用微分学相关理论及定性分析方法,讨论了正平衡点的存在唯一性.证明了正平衡点全局稳定性,应用Bendix-son环域定理证明了极限环的存在性.
The predator-prey system of Holling type Ⅱ functional response with constant investing rate and double density restrict is investigated.By using related theories of differential calculus and qualitative analysis methods,the existence and uniqueness of positive equilibrium point are discussed.The global asymptotical stability of positive equilibrium point is proved.Through applying Bendixson＇s annular region theorem,the existence of limit cycles is proved.
出处
《哈尔滨理工大学学报》
CAS
北大核心
2011年第2期82-86,共5页
Journal of Harbin University of Science and Technology
基金
黑龙江省自然科学基金(A200502)
黑龙江省教育厅资助项目(10051061)
关键词
存放率
正平衡点
全局渐近稳定
极限环
investing rate
positive equilibrium point
global asymptotical stability
limit cycle
