Local stability analysis for tuberculosis epidemic model with different infection stages and treatments

Abstract Tuberculosis has been an endemic disease leading to high level of mortality. A model of TB epidemic incorporating the asymptomatic and symptomatic infection stages of individuals are studied and introducing treatments for these stages. The local behavior of the model is analyzed using linearization for non endemic equilibrium and using bifurcation at R 0 = 1 for endemic equilibrium. Non endemic state and endemic state are proven locally asymptotically stable. Numerical simulations show the effectiveness of treatment in asymptomatic and symptomatic infection stages can reduce the rate of spread of TB.