MODELLING THE IMPACT OF BCG VACCINES ON TUBERCULOSIS EPIDEMICS

EGBETADE SAMUEL ADELEYE

Abstract


Abstract

In this paper, we study vaccination by a tuberculosis (TB) dynamics model incorporating treatment, migration and vaccination.  We formulate theorem on existence and uniqueness of solution in order to ascertain the existence of our model.  Using a stability analysis of the disease-free equilibrium (DFE) and the basic reproduction number , an analytic threshold which dictates when BCG vaccination will increase the stability of the DFE was established.  The analysis found that mass vaccination by BCG is advantageous in countries with a high TB burden in order to result in a more stable DFE for disease elimination.



Keywords


Tuberculosis; mathematical model; vaccination; existence and uniqueness; stability; basic reproduction number.

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