摘要
本文对具有第Ⅲ类功能性反应的捕食者一食饵系统作了较完整的定性分析,讨论了正平衡点的存在性和稳定性,得到了极限环的存在条件及稳定性定理,发展地运用了Poincaré切性曲线法.
In this paper, we give an almost complete qualitative analysis for one model of the system of tile Holling Ⅲ functional response of predator to prey, obtain conditions of existence and the stability of the positive balance point and of the limit cycles, and develop the method of Poincare tangent line of acurve.
出处
《生物数学学报》
CSCD
1999年第1期12-19,共8页
Journal of Biomathematics
关键词
捕食者食饵系统
第Ⅲ类功能反应
定性分析
Predator-prey system
Type- Ⅲ functional response
Qualitative analysis