具有存放的功能性反应捕食与被捕食系统的动力性态

摘要

This paper studies qualitative properties of predator-prey system with Holling-Ⅲ Model functional response of a type of prey species with constant stocking rate,analyzes the nonnegative balance point and its stability of this system when this system has stocking rate and uses the method for calculating the first coefficient to study supercritical Hopf bifurcation and transcritical Hopf bifurcation near weak center.%研究一类被捕食者（食饵）种群具有常数存放率的Holling—Ⅲ类功能性反应捕食与被捕食系统的定性性质,当该系统具有存放率时,分析了系统非负平衡点及其稳定性.利用计算第一系数的方法,研究了弱中心附近的超临界Hopf分岔与跨临界Hopf分岔.