Fractional modeling of COVID-19 pandemic model with real data from Pakistan under the ABC operator
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Author list: Rahat Zarin, Amir Khan, Aurangzeb, Ali Akgül, Esra Karatas Akgül, Usa Wannasingha Humphries
Publisher: AIMS Press
Publication year: 2022
Volume number: 7
Issue number: 9
Start page: 15939
End page: 15964
Number of pages: 26
ISSN: 2473-6988
eISSN: 2473-6988
URL: http://www.aimspress.com/article/doi/10.3934/math.2022872
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Abstract
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.
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