Modeling and simulation of fractional order COVID-19 model with quarantined-isolated people

Muhammad Aslam; Muhammad Farman; Ali Akgül; Meng Sun

doi:10.1002/mma.7191

Modeling and simulation of fractional order COVID-19 model with quarantined-isolated people

Math Methods Appl Sci. 2021 May 30;44(8):6389-6405. doi: 10.1002/mma.7191. Epub 2021 Jan 17.

Authors

Muhammad Aslam¹, Muhammad Farman², Ali Akgül³, Meng Sun¹

Affiliations

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

Abstract

The dynamics of diseases and effectiveness of control policies play important role in the prevention of epidemic diseases. To this end, this paper is concerned with the design of fractional order coronavirus disease (COVID-19) model with Caputo Fabrizio fractional derivative operator of order Ω ∈ (0, 1] for the COVID-19. Verify the nonnegative special solution and convergence of the scheme with in the domain. Caputo-Fabrizio technique apply with Sumudu transformation method is used to solve the fractional order COVID-19 model. Fixed point theory and Picard Lindelof approach are used to provide the stability and uniqueness of the results. Numerical simulations conspicuously demonstrate that by applying the proposed fractional order model, governments could find useful and practical ways for control of the disease.

Keywords: Banach space; Picard Lindelof approach; fractional order COVID‐19 model; uniqueness.