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arXiv · 2004.12803

Fractional SIS epidemic models

Caterina Balzotti·Mirko D'Ovidio·Paola Loreti
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Abstract

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

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Caterina Balzotti, Mirko D'Ovidio, Paola Loreti. 2020-04-21. Fractional SIS epidemic models. https://arxiv.org/abs/2004.12803

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