Abstract

In this paper we consider the fractional SIS epidemic model (αα-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↑1α\uparrow 1 (the SIS model) is also given. We analyse the effects of the fractional derivatives by comparing the SIS and the αα-SIS models.

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