Stability Analysis Of A Deterministic Mathematical Model For Transmission Dynamics Of Tuberculosis
Despite all efforts to curb and exterminate the menace of Tuberculosis (TB) epidemics on the human population,
the disease still remains one of the major causes of death, with one –third of the world’s population infected. In this paper,
we study a deterministic mathematical model to have a better insight in the transmission dynamics of TB. The model is
shown to have disease-free and endemic equilibria and their local stabilities are established using the basic reproduction
number, Ro. If Ro < 1, the infection can be controlled and then eradicated and when Ro > 1, the disease will persist. Numerical
simulations are performed to validate the theoretical results.
Keywords- Mathematical Model, Tuberculosis, Infectious Disease, Disease-free, Endemic, Equilibrium, Epidemics, Local
Stability, Basic Reproduction Number.