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 R-0, this state can be either endemic (R-0 > 1), or infection-free (R-0 <= 1). Numerical results are provided to illustrate analytical results. (C) 2009 Elsevier B.V. All rights reserved.