摘要
研究了捕食者无密度制约，食饵具有功能性反函数kx^θ（0〈θ≤1）的捕一食系统的定性行为。在食饵有（或无）常数放养率的情况下，利用Pioncare-Bendixsion环城定理。极限环的存在唯一性定理及旋转向量场理论。对此系统作了完整的定性分析。得到了该系统全局渐近稳定和存在唯一稳定极限环的充分条件。
In this paper, we consider the qualitative behavior for a class of predatorprey models with functional response kx^θ and with or without constant rate stocking. By using Pioncare-Bendixson theorem , the existence-uniqueness theorem of limit cycle and the theory of rotated vector fields, we give a complete qualitative analysis for the models, obtain some sufficient conditions for globe asymptotically stable and a uniqueness-stable limit cycle of the models.
出处
《生物数学学报》
CSCD
北大核心
2006年第4期515-520,共6页
Journal of Biomathematics
关键词
捕-食系统
功能性反应
常数放养率
极限环
Predator-prey models
Functional response
Constant rate stocking Limit cycle
