A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model

N H Sweilam; S M Al-Mekhlafi; D Baleanu

doi:10.1016/j.chaos.2021.110762

A hybrid stochastic fractional order Coronavirus (2019-nCov) mathematical model

Chaos Solitons Fractals. 2021 Apr:145:110762. doi: 10.1016/j.chaos.2021.110762. Epub 2021 Feb 10.

Authors

N H Sweilam¹, S M Al-Mekhlafi², D Baleanu³

Affiliations

¹ Cairo University, Faculty of Science, Department of Mathematics, Giza, Egypt.
² Sana'a University, Faculty of Education, Department of Mathematics, Yemen.
³ Institute of Space Sciences, Magurele-Bucharest, Romania.

Abstract

In this paper, a new stochastic fractional Coronavirus (2019-nCov) model with modified parameters is presented. The proposed stochastic COVID-19 model describes well the real data of daily confirmed cases in Wuhan. Moreover, a novel fractional order operator is introduced, it is a linear combination of Caputo's fractional derivative and Riemann-Liouville integral. Milstein's higher order method is constructed with the new fractional order operator to study the model problem. The mean square stability of Milstein algorithm is proved. Numerical results and comparative studies are introduced.

Keywords: Hybrid fractional operator; Milstein’s method; Stochastic fractional model.