Sensitivity Analysis of Mathematical Modeling of Tuberculosis Dynamics with a Control Measure

Tuberculosis is a global threat to human existence. A model investigate the transmission of tuberculosis was constructed and analysed. The threshold quantity ( R_0) that predicts existence or extinction disease in population computed. It found local stability asymptotically stable when basic reproduction number less than unity at disease-free – equilibrium point. Lyapunov function order analyse which proved be globally equal unity. Sensitivity analysis conducted on determine parameters are most sensitive as way deduce suitable control measures. Numerical simulations carried out, discussions were made results presented graphical forms.