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]
Titolo: | Fractional SIS epidemic models | |
Autori: | ||
Data di pubblicazione: | 2020 | |
Rivista: | ||
Citazione: | 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] | |
Handle: | http://hdl.handle.net/11573/1445465 | |
Appartiene alla tipologia: | 01a Articolo in rivista |
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