探讨一类食饵具有阶段结构和自食作用的非自治捕食系统.利用等价变换,证明此系统在一定条件下的持久生存性;利用Brouwer不动点定理得到系统正周期解在一定条件下的存在性.%A nonautonomous predator-prey system with stage structure and cannibalism for prey is proposed and analyzed. By using equivalent transformations, sufficient conditions are obtained for the permanence of the system. By utilizing Brouwer fixed point theorem, the existence of positive periodic solution is also discussed.
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