Stability Analysis of Tuberculosis Epidemic Model with Saturated Infection Force

Abstract

A mathematical model with saturated infection rate is studied incorporating the effect of treatment for Tuberculosis (TB) infected individuals. The model is studied to analyze the local stability of equilibriums by center manifold. The effect of treatment, namely chemoprophylaxis for exposed individuals and therapy for infectious individuals is investigated numerically. The numerical results show that the chemoprophylaxis treatment is more effective in decreasing the spread of TB epidemic. Otherwise it increases the healthy individuals.