On nonlinear dynamics of COVID-19 disease model corresponding to nonsingular fractional order derivative

Arfan M. Lashin M.M.A. Sunthrayuth P. Shah K. Ullah A. Iskakova K. Gorji M.R. Abdeljawad T.
November 2022 Springer Science and Business Media Deutschland GmbH

Medical and Biological Engineering and Computing
2022 #60 Issue 11 3169 - 3185 pp.

This manuscript is devoted to investigate the mathematical model of fractional-order dynamical system of the recent disease caused by Corona virus. The said disease is known as Corona virus infectious disease (COVID-19). Here we analyze the modified SEIR pandemic fractional order model under nonsingular kernel type derivative introduced by Atangana, Baleanu and Caputo (ABC) to investigate the transmission dynamics. For the validity of the proposed model, we establish some qualitative results about existence and uniqueness of solution by using fixed point approach. Further for numerical interpretation and simulations, we utilize Adams-Bashforth method. For numerical investigations, we use some available clinical data of the Wuhan city of China, where the infection initially had been identified. The disease free and pandemic equilibrium points are computed to verify the stability analysis. Also we testify the proposed model through the available data of Pakistan. We also compare the simulated data with the reported real data to demonstrate validity of the numerical scheme and our analysis. Graphical abstract: [Figure not available: see fulltext.]

Approximate solution , COVID-19 model , Non-integer order Adams-Bashforth technique

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Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, Chakdara, Pakistan
Electrical Engineering Department, College of Engineering, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi Arabia
Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Pathumthani, Thanyaburi, 12110, Thailand
Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia
Department of Physics and Mathematics, Kazakh National Pedagogical University, Almaty, Kazakhstan
Faculty of Medicine and Health Sciences, Ghent University, Ghent, 9000, Belgium
Department of Medical Research, China Medical University, Taichung, 40402, Taiwan

Department of Mathematics
Electrical Engineering Department
Department of Mathematics and Computer Science
Department of Mathematics and Sciences
Department of Physics and Mathematics
Faculty of Medicine and Health Sciences
Department of Medical Research

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