Mathematical modeling for the outbreak of the coronavirus (COVID-19) under fractional nonlocal operator | Zendy

Saleh S. Redhwan | Zendy; Mohammed S. ‬Abdo | Zendy; Kamal Shah | Zendy; Thabet Abdeljawad | Zendy; Shaheenah Dawood | Zendy; Hakim A. Abdo | Zendy; Sadikali L. Shaikh | Zendy

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Mathematical modeling for the outbreak of the coronavirus (COVID-19) under fractional nonlocal operator

Author(s) -

Saleh S. Redhwan,

Mohammed S. ‬Abdo,

Kamal Shah,

Thabet Abdeljawad,

Shaheenah Dawood,

Hakim A. Abdo,

Sadikali L. Shaikh

Publication year - 2020

Publication title -

results in physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.743

H-Index - 56

ISSN - 2211-3797

DOI - 10.1016/j.rinp.2020.103610

Subject(s) - covid-19 , operator (biology) , coronavirus , outbreak , mathematics , virology , fractional calculus , physics , medicine , chemistry , infectious disease (medical specialty) , biochemistry , disease , repressor , transcription factor , gene

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.

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