Investigation of time-fractional SIQR Covid-19 mathematical model with fractal-fractional Mittage-Leffler kernel

Adnan; Amir Ali; Mati ur Rahman; Muhammad Arfan; Zahir Shah; Poom Kumam; Wejdan Deebani

Alexandria Engineering Journal (Oct 2022)

Investigation of time-fractional SIQR Covid-19 mathematical model with fractal-fractional Mittage-Leffler kernel

Adnan,
Amir Ali,
Mati ur Rahman,
Muhammad Arfan,
Zahir Shah,
Poom Kumam,
Wejdan Deebani

Affiliations

Adnan: Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
Amir Ali: Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
Mati ur Rahman: School of Mathematical Science, Shanghai Jiao Tong University, Shanghai, PR China
Muhammad Arfan: Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan
Zahir Shah: Department of Mathematical Sciences, University of Lakki Marwat, Lakki Marwat 28420, Khyber Pakhtunkhwa, Pakistan; Corresponding authors at: Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand (P. Kumam).
Poom Kumam: Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan; Corresponding authors at: Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand (P. Kumam).
Wejdan Deebani: King Abdulaziz University, College of Science & Arts, Department of Mathematics, Rabigh, Saudi Arabia

Journal volume & issue: Vol. 61, no. 10
pp. 7771 – 7779

Abstract

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In this manuscript, we investigate a nonlinear SIQR pandemic model to study the behavior of covid-19 infectious diseases. The susceptible, infected, quarantine and recovered classes with fractal fractional Atangana-Baleanu-Caputo (ABC) derivative is studied. The non-integer order ℘ and fractal dimension q in the proposed system lie between 0 and 1. The existence and uniqueness of the solution for the considered model are studied using fixed point theory, while Ulam-Hyers stability is applied to study the stability analysis of the proposed model. Further, the Adams-Bashforth numerical technique is applied to calculate an approximate solution of the model. It is observed that the analytical and numerical calculations for different fractional-order and fractal dimensions confirm better converging effects of the dynamics as compared to an integer order.

Published in Alexandria Engineering Journal

ISSN: 1110-0168 (Print); 2090-2670 (Online)
Publisher: Elsevier
Country of publisher: Egypt
LCC subjects: Technology: Engineering (General). Civil engineering (General)
Website: http://www.journals.elsevier.com/alexandria-engineering-journal/

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