Fractional order mathematical modeling of COVID-19 transmission

Shabir Ahmad; Aman Ullah; Qasem M. Al-Mdallal; Hasib Khan; Kamal Shah; Aziz Khan

doi:10.1016/j.chaos.2020.110256

Fractional order mathematical modeling of COVID-19 transmission

Shabir Ahmad, Aman Ullah, Qasem M. Al-Mdallal, Hasib Khan, Kamal Shah, Aziz Khan

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

170 Citations (Scopus)

Abstract

In this article, the mathematical model with different compartments for the transmission dynamics of coronavirus-19 disease (COVID-19) is presented under the fractional-order derivative. Some results regarding the existence of at least one solution through fixed point results are derived. Then for the concerned approximate solution, the modified Euler method for fractional-order differential equations (FODEs) is utilized. Initially, we simulate the results by using some available data for different fractional-order to show the appropriateness of the proposed method. Further, we compare our results with some reported real data against confirmed infected and death cases per day for the initial 67 days in Wuhan city.

Original language	English
Article number	110256
Journal	Chaos, Solitons and Fractals
Volume	139
DOIs	https://doi.org/10.1016/j.chaos.2020.110256
Publication status	Published - Oct 2020

Keywords

Approximate solutions
Caputo's fractional derivative
Corona virus COVID-19
Fractional Euler's method

ASJC Scopus subject areas

Statistical and Nonlinear Physics
General Mathematics
General Physics and Astronomy
Applied Mathematics

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10.1016/j.chaos.2020.110256

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title = "Fractional order mathematical modeling of COVID-19 transmission",

abstract = "In this article, the mathematical model with different compartments for the transmission dynamics of coronavirus-19 disease (COVID-19) is presented under the fractional-order derivative. Some results regarding the existence of at least one solution through fixed point results are derived. Then for the concerned approximate solution, the modified Euler method for fractional-order differential equations (FODEs) is utilized. Initially, we simulate the results by using some available data for different fractional-order to show the appropriateness of the proposed method. Further, we compare our results with some reported real data against confirmed infected and death cases per day for the initial 67 days in Wuhan city.",

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T1 - Fractional order mathematical modeling of COVID-19 transmission

AU - Ahmad, Shabir

AU - Ullah, Aman

AU - Al-Mdallal, Qasem M.

AU - Khan, Hasib

AU - Shah, Kamal

AU - Khan, Aziz

PY - 2020/10

Y1 - 2020/10

N2 - In this article, the mathematical model with different compartments for the transmission dynamics of coronavirus-19 disease (COVID-19) is presented under the fractional-order derivative. Some results regarding the existence of at least one solution through fixed point results are derived. Then for the concerned approximate solution, the modified Euler method for fractional-order differential equations (FODEs) is utilized. Initially, we simulate the results by using some available data for different fractional-order to show the appropriateness of the proposed method. Further, we compare our results with some reported real data against confirmed infected and death cases per day for the initial 67 days in Wuhan city.

AB - In this article, the mathematical model with different compartments for the transmission dynamics of coronavirus-19 disease (COVID-19) is presented under the fractional-order derivative. Some results regarding the existence of at least one solution through fixed point results are derived. Then for the concerned approximate solution, the modified Euler method for fractional-order differential equations (FODEs) is utilized. Initially, we simulate the results by using some available data for different fractional-order to show the appropriateness of the proposed method. Further, we compare our results with some reported real data against confirmed infected and death cases per day for the initial 67 days in Wuhan city.

KW - Approximate solutions

KW - Caputo's fractional derivative

KW - Corona virus COVID-19

KW - Fractional Euler's method

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Fractional order mathematical modeling of COVID-19 transmission

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Keywords

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