论文标题
分数SIS流行模型
Fractional SIS epidemic models
论文作者
论文摘要
在本文中，我们考虑了恒定人口规模的分数SIS流行模型（$α$ -SIS模型）。我们提供了分数模型的显式解决方案的表示，并通过数值方案说明了结果。还给出了分数订单$α\ UPARROW 1 $（SIS模型）时的限制情况的比较。我们通过比较SIS和$α$ -SIS模型来分析分数衍生物的效果。
In this paper we consider the fractional SIS epidemic model ($α$-SIS model) in the case of constant population size. We provide a representation of the explicit solution to the fractional model and we illustrate the results by numerical schemes. A comparison with the limit case when the fractional order $α\uparrow 1$ (the SIS model) is also given. We analyse the effects of the fractional derivatives by comparing the SIS and the $α$-SIS models.
