A priori estimate for positive periodic solutions is obtained by using inequality technique.By Mawhin's continuous theorem of coincidence degree theory, a criteria for the existence of a positive periodic solution of a generalized prey-predator system with time delays is obtained.%运用不等式技巧,获得了广义捕食者-食饵系统的先验估计,应用重合度理论的延拓定理,导出了一个具有时滞的广义的捕食者-食饵系统正周期解的存在性准则.
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