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/v17i1030332Abstract
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.
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