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Research Article | Open Access

Analysis of COVID-19 outbreak in Democratic Republic of the Congo using fractional operators

Aqeel Ahmad1,2Cicik Alfiniyah2Ali Akgül3,4,5( )Aeshah A. Raezah6
Department of Mathematics, Ghazi University D G Khan 32200, Pakistan
Department of Mathematics, Faculty of Science and Technology, Universitas Airlangga, Indonesia
Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
Art and Science Faculty, Department of Mathematics, Siirt 56100, Turkey
Mathematics Research Center, Department of Mathematics, Near East Boulevard, 99138, Nicosia /Mersin 10, Turkey
Department of Mathematics, Faculty of Science, King Khalid University, Abha 62529, Saudi Arabia
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Abstract

The spread of COVID-19 in the Democratic Republic of the Congo is investigated in this work using fractional operators. To model the spread of the current COVID-19 variant among different age groups, we employ the epidemic scenario in the Democratic Republic of the Congo as a case study. In this study, the key characteristics of an epidemic problem such as COVID-19 are validated for existence and positivity, and unique solutions are demonstrated by applying certain findings from fixed-point theory. We also use the first derivative function to confirm the overall stability of the proposed system. The established methodology, which examines the impact of COVID-19 on various age groups, is highly sophisticated. Additionally, we use a method created by Atangana to solve the given model. This method stands as one of the most advanced approaches for addressing infectious problems; we also conduct an error analysis to identify and rectify any inaccuracies. Lastly, we assess the parameters to determine the effects of illness, and we provide numerical simulations implemented in MATLAB. These simulations illustrate the behavior of this infectious disease among various age groups in the Democratic Republic of the Congo.

CLC number: 03C45, 33E12

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AIMS Mathematics
Pages 25654-25687

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Cite this article:
Ahmad A, Alfiniyah C, Akgül A, et al. Analysis of COVID-19 outbreak in Democratic Republic of the Congo using fractional operators. AIMS Mathematics, 2023, 8(11): 25654-25687. https://doi.org/10.3934/math.20231309

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Received: 12 May 2023
Revised: 06 July 2023
Accepted: 11 July 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)