论文标题

猎物中疾病的离散生态流行病学模型的动力学

Dynamics of a discrete eco-epidemiological model with disease in the prey

论文作者

de Jesus, Lopo F., Silva, César M., Vilarinho, Helder

论文摘要

使用Mickens非标准方法,我们获得了一个非自主生态学模型的离散家族,其中包含与受感染和未感染的捕食者捕食相对应的一般功能。假设在没有感染的情况下描述动力学的双二维捕食者 - 捕食子系统假设,我们获得了受感染的猎物的持久性和灭绝结果。进行了一些示例和模拟来说明我们的结果。

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.

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