一类具有Ⅳ类功能反应的离散捕食系统周期解的存在性

Existence of Periodic Solutions for Discrete Predator-Prey Systems with TypeⅣFunctional Response

利用重合度理论讨论了一类具有Ⅳ类功能反应的离散捕食系统周期解的存在性,给出了正周期解存在的充分条件,此外,一个例子也验证了我们的结果。

By using continuation theorem in coincidence degree, we study the existence of periodic solutions for discrete predator-prey systems with type IV functional response and show the sufficient condition of existing at least one positive periodic solution, additionally, an example also proof our results.