摘要
研究了具有Holling第Ⅰ类功能反应且捕食者为密度非助长的食饵捕食者模型的定性行为.给出了平衡点全局稳定,食饵与捕食者共存和无极限环的充分条件.证明了一个和两个极限环的存在性.
In this paper, we study the qualitative behavior of a predator-prey system with Holling type I functional response and predator densities. Sufficient conditions for some of equilibriums' global asymptotical stability and sufficient conditions for coexistence of prey and predator are given. Existence of one or two limit cycles is also discussed.
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2004年第5期712-717,共6页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10271096).