Stability Analysis of Tuberculosis Model

Abstract

In this paper, we study MSEIR and MSIR Tuberculosis models. Existence, uniqueness and stability of the problem are proved using the concept of Bellman and Cooke's theorem. The equilibrium solutions with stability results are analyzed. The dynamics of the compartments were described by a system of ordinary differential equations and all the equations were solved and analyzed using the stability concepts. It was found out that the disease free equilibrium states for each model are stable when the number of recovery individual is greater than the death rate.