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.
出处
《上海理工大学学报》
EI
CAS
北大核心
2008年第2期107-111,共5页
Journal of University of Shanghai For Science and Technology
关键词
比率
高阶奇点
极限环
吸引子
ratio-dependent
singular point of higher order
limit cycle
attractor
