In this paper, we consider the fractional SIS (susceptible-infectious-susceptible) 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 converges to 1 (the SIS model) is also given. We analyze the effects of the fractional derivatives by comparing the SIS and the α-SIS models.
Fractional SIS epidemic models / Balzotti, C.; D'Ovidio, M.; Loreti, P.. - In: FRACTAL AND FRACTIONAL. - ISSN 2504-3110. - 4:3(2020), pp. 1-18. [10.3390/fractalfract4030044]
Fractional SIS epidemic models
Balzotti C.;D'ovidio M.
;Loreti P.
2020
Abstract
In this paper, we consider the fractional SIS (susceptible-infectious-susceptible) 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 converges to 1 (the SIS model) is also given. We analyze the effects of the fractional derivatives by comparing the SIS and the α-SIS models.| File | Dimensione | Formato | |
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