具有感染食饵的周期生态流行病系统的周期轨道
Periodic orbits for periodic eco-epidemiological systems with infected prey
摘要：
研究了食饵有病的周期生态流行病系统周期轨道的存在性。要做到这一点，我们考虑三个主要步骤。首先，我们研究了一类单参数系统，得到了这类系统任意周期解的分量的一致界。接下来，我们在我们的系统族中进行适当的变量变量变换，以建立能够应用Mawhin延拓定理的设置。最后，我们利用Mawhin的延拓定理得到了我们的结果。随后，我们提出了两个例子，包括以前的文献中的结果和一些数值模拟来说明我们的结果。
英文摘要：
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.
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