Mathematical analysis of a tuberculosis model with differential infectivity

This paper deals with the global properties of a tuberculosis model with mass action incidence and two differential infectivity. The direct Lyapunov method enables us to prove that the considered model is globally stable: There is always a globally asymptotically stable equilibrium state. Depending on the value of the basic reproduction number R0R0, this state can be either endemic (R0>1R0>1), or infection-free (R0⩽1R0⩽1). Numerical results are provided to illustrate analytical results.