具功能性反应函数kx^θ/a＋x^θ的捕食-食饵系统的定性分析

On Qualitative Analysis of Predator-Prey System with Functional Response Function kx^θ/a＋x^θ

研究了功能性反应函数为kx^θ/a＋x^θ（0〈θ〈1）的捕食-食饵系统的定性行为．得到了该系统全局渐近稳定和存在唯一稳定的双曲极限环的充分条件．

The qualitative behavior of predator-prey models with functional response kx^θ/（a＋x^θ）（0〈θ〈1） is studied, and we obtain some sufficient conditions for globe asymptotically stable and a uniqueness-stable hyperbolic limit cycle of the models.