In this paper, we establish the existence of periodic solution of a delayed predator-prey model with M -predators and N -preys over the time scales. We derive sufficient conditions for the existence of a periodic solution with the help of continuation theorem of coincidence degree theory. At the end, we give an example with numerical simulations to illustrate our analytical findings.

中文翻译：

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时标上具有可变速率的N-Preys和M-Predator模型的周期解

在本文中，我们建立了在时标上具有M-捕食者和N-捕食者的时滞捕食者-食饵模型的周期解的存在性。利用重合度理论的连续定理，我们为周期解的存在导出了充分的条件。最后，我们用一个数值模拟的例子来说明我们的分析结果。