Global dynamics of a TB transmission model with TB defaulters

A TB transmission model with TB defaulters is presented in this paper. The global dynamics of the TB model is established by constructing proper Lyapunov functions. It is proved that the disease-free equilibrium is globally asymptotically stable if the basic reproduction number R₀ is below unity; and the unique endemic equilibrium is globally asymptotically stable if the basic reproduction number R₀ is above unity.