MODELING FRACTIONAL-ORDER DYNAMICS OF MERS-COV VIA MITTAG-LEFFLER LAW

Haidong Qu (), Mati Ur Rahman, Ye Wang, Muhammad Arfan () and Adnan ()
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Haidong Qu: Department of Mathematics, Hanshan Normal University, Chaozhou 515041, P. R. China
Mati Ur Rahman: Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai, P. R. China
Ye Wang: Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China
Muhammad Arfan: Department of Mathematics, University of Malakand, Chakdara Dir (L), 18000, Khyber Pakhtunkhwa, Pakistan
Adnan: Department of Mathematics, University of Malakand, Chakdara Dir (L), 18000, Khyber Pakhtunkhwa, Pakistan

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-16

Abstract: This paper considers an arbitrary-order mathematical model that analyzes the syndrome type Middle Eastern Coronavirus (MERS-CoV) under the nonsingular Mittag-Leffler derivative. Such types of viruses were transferred from camels to the population of humans in the Arabian deserts. We investigate the said problem for theoretical results and determine the existence of a solution by using the fixed point theory concept. For the approximate solution, the well-known method of iteration arbitrary-order Adams–Bashforth (AB) technique has been used. A numerical scheme is developed for the analyzed problem in the continuation of simulations at different noninteger and natural order for the interval (0, 1]. The graphical representation shows that all classes show convergence and achieve a stable position with growing time. A good comparative result has been given by the analysis of various noninteger orders with natural orders and achieves stability quickly at fewer non-integer orders.

Keywords: Fractional Mathematical Model; MERS-Cov Model; Existence and Uniqueness Results; Adams–Bashforth Method; Numerical Simulations (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400461

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