论文标题

具有捕食者对猎物的一般功能反应的生态流行病学模型

An eco-epidemiological model with general functional response of predator to prey

论文作者

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

论文摘要

我们考虑了一种非自主生态流行病学模型,具有对感染和未感染的猎物捕食的一般功能,以及与易感猎物和捕食者种群的重要动态相关的一般功能。我们基于对动态的系统的假设,在没有感染的猎物的情况下,我们获得了被感染猎物的持久性和灭绝结果。我们将结果应用于文献中存在于捕食者捕集模型的生态流行病学模型。进行了一些说明性模拟。

We consider a nonautonomous eco-epidemiological model with general functions for predation on infected and uninfected preys as well as general functions associated to the vital dynamics of the susceptible prey and predator populations. We obtain persistence and extinction results for the infected prey based on assumptions on systems related to the dynamics in the absence of infected preys. We apply our results to eco-epidemiological models constructed from predator-prey models existent in the literature. Some illustrative simulation is undertaken.

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