Mathematical model to assess vaccination and effective contact rate impact in the spread of tuberculosis

Abstract

) around the equilibriums (disease-free and endemic). The global asymptotic stability of the unique endemic equilibrium whenever [Formula: see text] is proved, where [Formula: see text] is the reproduction number. We prove also that when [Formula: see text] is less than 1, TB can be eradicated. Numerical simulations, using some TB data found in the literature in relation with Cameroon, are conducted to approve analytic results, and to show that vaccination coverage is not sufficient to control TB, effective contact rate has a high impact in the spread of TB.