Browsing by Author "Paul, R.V."

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    A MATHEMATICAL MODEL OF COVID-19 TRANSMISSION DYNAMICS WITH EFFECTS OF AWARENESS AND VACCINATION PROGRAM
    (Journal of Ghana Science Association, 2023-10) Agbata, B.C.; Shior, M.M.; Obeng-Denteh, W.; Omotehinwa, T.O.; Paul, R.V.; Kwabi P. A.; Asante-Mensa, F
    This study introduces a deterministic mathematical model for understanding the transmission dynamics of COVID-19, con sidering the influence of vaccination and awareness program, which target susceptible individuals. The model is based on a system of differential equations, resulting in an SVEIR model. Through qualitative analysis, various aspects of the model, such as disease-free equilibrium, endemic equilibrium, basic reproduction number, and local and global stability, were thoroughly explored. The disease-free equilibrium is proven to be both locally and globally stable when R0 < 1, while it ∼becomes unstable when R0 > 1. Simulation results demonstrate that the combination of vaccination and awareness programs emerges as the most effective approach to mitigate the spread of COVID-19 within the population.