一类食饵-捕食者模型的渐近性态

The Asymptotic Behavior of a Predator-Prey Model

研究了一类带周期系数的阶段结构的食饵捕食者模型的渐近性态。利用比较原理和泛函数微分方程定理建立了种群一致持续生存的条件 ,并得到了正周期解的存在性 .

The asymptotic behavior of a stage structured predator prey model with periodic coefficents is studied. The sufficient condition for the uniform persistence of the predator populations is obtained by using the comparison principle and the theory of functional differential equations. The existence of positive periodic solution is obatined.