Modeling of fractional-order COVID-19 epidemic model with quarantine and social distancing

Muhammad Farman; Muhammad Aslam; Ali Akgül; Aqeel Ahmad

doi:10.1002/mma.7360

Modeling of fractional-order COVID-19 epidemic model with quarantine and social distancing

Math Methods Appl Sci. 2021 Jul 30;44(11):9334-9350. doi: 10.1002/mma.7360. Epub 2021 Mar 29.

Authors

Muhammad Farman¹, Muhammad Aslam², Ali Akgül³, Aqeel Ahmad¹

Affiliations

¹ Department of Mathematics and Statistics University of Lahore Lahore Pakistan.
² Key Laboratory and Natural Functional Molecule Chemistry of Ministry of Education, Department of Chemistry and Materials Science Northwest University Xi'an China.
³ Art and Science Faculty, Department of Mathematics Siirt University Siirt Turkey.

Abstract

Different countries of the world are facing a serious pandemic of corona virus disease (COVID-19). One of the most typical treatments for COVID-19 is social distancing, which includes lockdown; it will help to decrease the number of contacts for undiagnosed individuals. The main aim of this article is to construct and evaluate a fractional-order COVID-19 epidemic model with quarantine and social distancing. Laplace homotopy analysis method is used for a system of fractional differential equation (FDEs) with Caputo and Atangana-Baleanu-Caputo (ABC) fractional derivative. By applying the ABC and Caputo derivative, the numerical solution for fractional-order COVID-19 epidemic model is achieved. The uniqueness and existence of the solution is checked by Picard-Lindelof's method. The proposed fractional model is demonstrated by numerical simulation which is useful for the government to control the spread of disease in a practical way.

Keywords: ABC fractional‐order derivative; COVID‐19 model; Caputo fractional derivative; quarantine; social distancing.