Fractional SIS epidemic models

2020/04/21 by Caterina Balzotti, Balzotti, Caterina, Mirko D'Ovidio +3
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #26A33 #78A70 #92D30 #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Optimization and Control (math.OC) #Physics and Society (physics.soc-ph) #Populations and Evolution (q-bio.PE) #math.OC #msc:26A33 #msc:78A70 #msc:92D30 #physics.soc-ph #q-bio.PE

paper · pdf · doi:10.48550/arxiv.2004.12803

17 pages, 6 figures

arxiv created 2020/07/09 · arxiv updated 2020/07/10

Abstract

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.

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