一类基于比率的捕雠饵系统定性分析  

On qualitative analysis of a kind of ratio dependent predator-prey system

作　　者：鲁铁军[1] 王美娟[1] 刘妍[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2008年第2期107-111,共5页Journal of University of Shanghai For Science and Technology

摘　　要：研究一类基于比率和HollingⅢ功能性反应的捕食-食饵系统.运用示性方程G(θ)=0,讨论了奇点(0,0)附近轨线的走向,并在此基础上,给出了系统平衡点是全局吸引子或者是吸引子的条件.最后通过构造境界线,运用Bendixson环域定理,得到了极限环存在的充分条件.A ratio dependent predator-prey system with Holling type Ⅲ functional response is considered. Asymptotic behavior of the singular point（0,0） is discussed by using characteristic equation, and then sufficient conditions are derived for the system equilibriums of whether global attractors or attractors. The existence of the limit cycle is studied by constructing boundary-line and by using Bendixson theorem.

关 键 词：比率 高阶奇点 极限环 吸引子 

分 类 号：O175.13[理学—数学]