Analysis of a TB model with treatment interruptions

In this article, a TB transmission model with treatment interruptions is established. The control reproduction numbers which completely determine the long behaviors of the TB model are explicitly given. By applying the comparison principle and constructing proper Lyapunov functions, the global asymptotic stability of equilibria is analyzed. The numerical simulations show that the treatment of active TB cases has always a positive effect on controlling the TB epidemic; while treatment interruptions may have a negative, positive or no effect on combating the TB epidemic.