Abstract: In this paper, we consider a highly simplified deterministic model that incorporates a vaccination compartment to the classical SI epidemic model to study the impact of vaccination on the dynamics of infectious diseases. We have established results about the stability of the disease free and the endemic equilibria of the model as it relates to the basic reproduction number (R0) and numerical simulations have supported our analytical results that when R0 < 1, the disease free equilibrium becomes stable and the disease dies out of the population and for R0 > 1, the endemic equilibrium becomes stable showing that the disease will spread and persist within its host population. Numerical simulations have been used to support the importance of vaccination to a susceptible population and suggest a minimum vaccination rate and vaccine loss rate to target in a vaccination campaign.
Keywords: Vaccination, Epidemic model, Basic Reproduction number, Stability, Disease free equilibrium, Endemic equilibrium.
Title: Impact of Vaccination on the Dynamics of Infectious Diseases
Author: Ime Okonna, Mfon Okonna
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
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