论文标题
周期性的轨道，用于周期性的生态流行病学系统，具有感染猎物
Periodic orbits for periodic eco-epidemiological systems with infected prey
论文作者
论文摘要
我们解决了与猎物中疾病有关的周期性生态流行系统的周期性轨道的存在。为此，我们考虑三个主要步骤。首先，我们研究一个系统的一个参数家族，并为这些系统的任何定期解决方案的组件获得统一的界限。接下来，我们会在系统家庭中进行适当更改变量，以建立能够应用Mawhin延续定理的设置。最后，我们使用Mawhin的延续定理来获得我们的结果。后来，我们提出了两个示例，其中包括文献中先前的结果和一些数值模拟，以说明我们的结果。
We address the existence of periodic orbits for periodic eco-epidemiological system with disease in the prey. To do it, we consider three main steps. Firstly we study a one parameter family of systems and obtain uniform bounds for the components of any periodic solution of these systems. Next, we make a suitable change of variables in our family of systems to establish the setting where we are able to apply Mawhin's continuation Theorem. Finally, we use Mawhin's continuation Theorem to obtain our result. Later on, we present two examples that include previous results in the literature and some numerical simulations to illustrate our results.
