摘要
研究了捕食者无密度制约,食饵有密度制约的具有Holling第 类功能性反应的捕-食系统的定性行为.在食饵有(或无)常数放养率的情况下,利用Pioncare-Bendixson环域定理及极限环的唯一性定理,对此系统作了完整的定性分析.结果表明,在一定条件下,当正平衡点稳定时,系统为全局渐进稳定的;当正平衡点不稳定时,系统存在唯一的极限环.
Qualitative behavior for a predator-prey system with Holling type-Ⅲ functional response and with or without constant rate stocking was studied. By using Pioncare-Bendixson theorem and the uniqueness theorem of limit cycle, a complete qualitative analysis for the system was given. It was obtained that under some conditions, the system is globe asymptotically stable if positive equilibrium point is stable and has a unique limit cycle if positive equilibrium point is unstable.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2004年第5期842-844,共3页
Journal of Shanghai Jiaotong University
基金
教育部博士点基金资助项目(20020248010)
关键词
捕-食系统
第Ⅲ类功能性反应
常数放养率
极限环
predator-prey system
type-Ⅲ functional response
constant rate stocking
limit cycle
