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

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Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Amer Inst Mathematical Sciences-Aims

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

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.

Açıklama

Anahtar Kelimeler

real data, pandemic model, stability analysis, sensitivity analysis, numerical simulations

Kaynak

Aims Mathematics

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

7

Sayı

9

Künye