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Research Article Open access CC BY 4.0

Mathematical Modelling of the Dynamics of COVID-19 Disease Transmission

A. B. Okrinya, E. Esekhaigbe

Asian Research Journal of Mathematics · pp. 123–137 · Published 22 Mar 2021

10.9734/arjom/2021/v17i130269

Abstract

We construct a simple mathematical model that describes the dynamics of the transmission of COVID-19 disease in a human population. It accounts for the various phases of the disease and its mode of contact through infectious humans and surfaces. The contribution of asymptomatic humans in the dynamics of the disease is well represented. The model is a system of ordinary dierential equations that describes the evolution of humans in a range of COVID-19 states due to emergence of an index case. The analysis includes establishment of the basic reproduction number, R0, where, R0 < 1 signifies a disease free state that is locally asymptotically stable. A key result in this study shows some long term damped oscillatory behaviour that do not seem to end soon.

COVID-19 modelling symptomatic asymptomatic surface virus

References (7)

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Cited by 3

The Impact of Vaccination on Covid-19 Disease Transmission Patterns in a Human Population: A Theoretical Analysis

A. B. Okrinya, C. N. Timinibife · Asian Research Journal of Mathematics · 2021

GLOBAL STABILITY ANALYSIS OF A MATHEMATICAL MODEL ON THE TRANSMISSION DYNAMICS OF COVID-19 WITH VACCINATION

A. B. Okrinya · INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH · 2022

Showing 2 of 3 known citations — external sources report more than can currently be individually listed.

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