Modelling and Qualitative Analysis of the Transmission Dynamics of COVID-19 in Nigeria

Yusuf, Tunde T. and Afolabi, Ayodeji S. and Dansu, Emmanuel J. and Abidemi, Afeez (2022) Modelling and Qualitative Analysis of the Transmission Dynamics of COVID-19 in Nigeria. Asian Research Journal of Mathematics, 18 (4). pp. 7-24. ISSN 2456-477X

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Abstract

The novel coronavirus (COVID-19) pandemic continues despite series of control measuresimplemented to curtail it. Therefore, it is pertinent to study how the various proposed controlmeasures can be effectively combined in order to stem the alarming spread of the disease andits attendant consequences. In this paper, a deterministic model for the transmission dynamicsof the disease, which incorporates the impacts of the various implemented control measures, ispresented. Based on the proposed model, the disease’s basic reproduction number (R0) wasderived and the equilibrium solutions were determined. It was shown that wheneverR0�1, themodel has only the disease-free equilibrium which is globally stable while in circumstances whereR0>1, there exists an endemic equilibrium which is globally asymptotically stable. When thelatter equilibrium state exists, the former becomes unstable. In addition, the model parameterswere estimated using Nigeria’s demographic and COVID-19 surveillance data.

Item Type: Article
Subjects: Academic Digital Library > Mathematical Science
Depositing User: Unnamed user with email info@academicdigitallibrary.org
Date Deposited: 01 Feb 2023 07:24
Last Modified: 11 Mar 2024 05:06
URI: http://publications.article4sub.com/id/eprint/356

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