ABSTRACT

Using Mickens nonstandard method, we obtain a discrete family of nonautonomous eco-epidemiological models that include general functions corresponding to the predation of the infected and uninfected preys. We obtain results on the persistence and extinction of the infected preys assuming that the bi-dimensional predator–prey subsystem that describes the dynamics in the absence of the infection satisfies some assumptions. Some examples and simulations are undertaken to illustrate our results.

中文翻译：

---

捕食者具有疾病的离散生态流行病学模型的动力学

抽象的

使用Mickens非标准方法，我们获得了离散的非自治生态流行病学模型系列，其中包括与感染和未感染的猎物的捕食相对应的一般功能。假设描述没有感染的情况下的动态捕食者-被捕食者子系统满足一些假设，我们就被感染的猎物的持久性和灭绝获得了结果。进行了一些实例和仿真来说明我们的结果。