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Modeling of fractional‐order COVID‐19 epidemic model with quarantine and social distancing
Author(s) -
Farman Muhammad,
Aslam Muhammad,
Akgül Ali,
Ahmad Aqeel
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7360
Subject(s) - fractional calculus , mathematics , epidemic model , uniqueness , covid-19 , quarantine , social distance , laplace transform , order (exchange) , mathematical analysis , disease , medicine , business , sociology , demography , population , finance , pathology , infectious disease (medical specialty)
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.