Computational and theoretical modeling of the transmission dynamics of novel COVID-19 under Mittag-Leffler Power Law

In the current article, we studied the novel corona virus (2019-nCoV or COVID-19) which is a threat to the whole world nowadays. We consider a fractional order epidemic model which describes the dynamics of COVID-19 under nonsingular kernel type of fractional derivative. An attempt is made to discus...

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Published inAlexandria engineering journal Vol. 59; no. 5; pp. 3133 - 3147
Main Authors Sher, Muhammad, Shah, Kamal, Khan, Zareen A., Khan, Hasib, Khan, Aziz
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.10.2020
The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University
Elsevier
Subjects
35R11
[formula omitted] derivative
Corona virus COVID-19
Existence theory
LADM
Primary 26A33
Secondary 34A08
Semi analytical solution
Primary 26A33
Existence theory
(ABC) derivative
35R11
Semi analytical solution
Corona virus COVID-19
LADM
Secondary 34A08
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Summary:In the current article, we studied the novel corona virus (2019-nCoV or COVID-19) which is a threat to the whole world nowadays. We consider a fractional order epidemic model which describes the dynamics of COVID-19 under nonsingular kernel type of fractional derivative. An attempt is made to discuss the existence of the model using the fixed point theorem of Banach and Krasnoselskii’s type. We will also discuss the Ulam-Hyers type of stability of the mentioned problem. For semi analytical solution of the problem the Laplace Adomian decomposition method (LADM) is suggested to obtain the required solution. The results are simulated via Matlab by graphs. Also we have compare the simulated results with some reported real data for Commutative class at classical order.
ISSN:1110-0168
1110-0168
DOI:10.1016/j.aej.2020.07.014