On analysis of the fractional mathematical model of rotavirus epidemic with the effects of breastfeeding and vaccination under Atangana-Baleanu (AB) derivative

Shabir Ahmad, Aman Ullah, Muhammad Arfan and Kamal Shah

Chaos, Solitons & Fractals, 2020, vol. 140, issue C

Abstract: In this article, the fractional-order model of the rotavirus epidemic with the effect of breastfeeding and vaccination under the Atangana-Baleanu derivative is investigated. To show the existence and uniqueness of the model fixed point theorems of Krasnoselskii and Banach are used. The Ulam-Hyres stability is carried out for the proposed model by using the notion of non-linear functional analysis. The numerical scheme is determined for finding the approximate solution of the proposed model by using the fractional Adams-Bashforth method. Numerical simulations are provided for different fractional order to give the transmission dynamics of the rotavirus epidemic.

Keywords: Atangana-Baleanu derivative; Ulam-Hyres stability; Fractional adams-Bashforth method; Rotavirus epidemic model; Fractional order differential equations (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:140:y:2020:i:c:s0960077920306299

DOI: 10.1016/j.chaos.2020.110233

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