Mathematical modeling for the outbreak of the coronavirus (COVID-19) under fractional nonlocal operator
Saleh S. Redhwan, Mohammed S. Abdo, Kamal Shah, Thabet Abdeljawad, Shaheenah Dawood, Hakim A. Abdo, Sadikali L. Shaikh
Abstract
A mathematical model for the spread of the COVID-19 disease based on a fractional Atangana-Baleanu operator is studied. Some fixed point theorems and generalized Gronwall inequality through the AB fractional integral are applied to obtain the existence and stability results. The fractional Adams-Bashforth is used to discuss the corresponding numerical results. A numerical simulation is presented to show the behavior of the approximate solution in terms of graphs of the spread of COVID-19 in the Chinese city of Wuhan. We simulate our table for the data of Wuhan from February 15, 2020 to April 25, 2020 for 70 days. Finally, we present a debate about the followed simulation in characterizing how the transmission dynamics of infection can take place in society.