Abstract: In this paper, we analyze the effect of vaccination on the dynamics of infectious diseases using a simplified SIR model with a vaccination compartment. We have obtained results about the stability of the disease-free and endemic equilibria of the model. Analytical and numerical simulations show that when the basic reproduction number (R0) is less than one, the disease free equilibrium is stable and becomes unstable when R0 > 1 giving rise to a stable endemic equilibrium. The importance of vaccination to a susceptible population is highlighted.
Keywords: Vaccination, Epidemic model, Basic Reproduction number, Stability, Disease free equilibrium, Endemic equilibrium.
Title: MODELLING THE EFFECT OF VACCINATION ON THE DYNAMICS OF INFECTIOUS DISEASES
Author: Dr. Ime Okonna
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
Research Publish Journals
