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Research Article Open access CC BY 4.0

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 · pp. 1–14 · Published 27 Nov 2021

10.9734/arjom/2021/v17i1030332

Abstract

We construct a Mathematical model that describes the effect of vaccination on the dynamics of the transmission of COVID-19 disease in a human population. The model is a system of ordinary differential equations that describes the evolution of humans in a range of Covid-19 states due to emergence of an index case in a disease free region. The analysis of the model shows that effective vaccination can lead to disease eradication, where in the disease free state is locally asymptomatically stable if the basic reproductive number, and unstable when The numerical simulations suggests the use of other social measures alongside  vaccination in order to avert the possibility of the disease  becoming endemic.

Covid-19 modeling vaccination re-infection symptomatic asymptomatic surface virus

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Cited by 1

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

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