Fractional modeling of COVID-19 pandemic model with real data from Pakistan under the ABC operator-Reference-Cited by-同舟云学术

Fractional modeling of COVID-19 pandemic model with real data from Pakistan under the ABC operator

Published:2022 Issue:9 Volume:7 Page:15939-15964
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Zarin Rahat¹,Khan Amir²³,Aurangzeb ²,Akgül Ali⁴,Akgül Esra Karatas⁴,Humphries Usa Wannasingha³

Affiliation:

1. Department of Basic Sciences, University of Engineering and Technology Peshawar, Khyber Pakhtunkhwa, Pakistan

2. Department of Mathematics and Statistics, University of Swat, Khyber Pakhtunkhawa, Pakistan

3. Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha-Uthit Road, Bang Mod, Thrung Khru, Bangkok 10140, Thailand

4. Siirt University, Art and Science Faculty of Science, Department of Mathematics, TR-56100 Siirt, Turkey

Abstract

<abstract><p>In this study, the COVID-19 epidemic model is established by incorporating quarantine and isolation compartments with Mittag-Leffler kernel. The existence and uniqueness of the solutions for the proposed fractional model are obtained. The basic reproduction number, equilibrium points, and stability analysis of the COVID-19 model are derived. Sensitivity analysis is carried out to elaborate the influential parameters upon basic reproduction number. It is obtained that the disease transmission parameter is the most dominant parameter upon basic reproduction number. A convergent iterative scheme is taken into account to simulate the dynamical behavior of the system. We estimate the values of variables with the help of the least square curve fitting tool for the COVID-19 cases in Pakistan from 04 March to May 10, 2020, by using MATLAB.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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