A Mathematical Model of Tuberculosis Control Incorporating Vaccination, Latency and Infectious Treatments (Case Study of Nigeria)

Abstract

In Nigeria, the National Tuberculosis and Leprosy Control Pro- gram concentrates only on Infectious Tuberculosis treatment leaving the Latently infected ones on the waiting list at the mercy of their immune system. In this research we modelled the effect of combining Immunization with Latent Tuberculosis treatment in controlling the spread of Tuberculosis. We established the existence of equilibrium states and analyzed the Disease free equilibrium state for stability us- ing Routh-Hurwitz Theorem. The disease free equilibrium state (i.e., the state of total eradication of Tuberculosis) will be stable if effort is intensified in bringing down both the contraction rate and the rate of break down to Infectious Tuberculosis .