An SVEIRE Model of Tuberculosis to Assess the Effect of an Imperfect Vaccine and Other Exogenous Factors

This study extends a deterministic mathematical model for the dynamics of tuberculosis transmission to examine impact an imperfect vaccine and other exogenous factors, such as re-infection among treated individuals re-infection. The qualitative behaviors are investigated, covering many distinct aspects disease. proposed is observed show backward bifurcation, even when Rv<1. As such, we assume that diminishing Rv less than unity not effective elimination tuberculosis. Furthermore, results reveal always at reducing spread infectious diseases within population, though general effect increases with increase in effectiveness coverage. In particular, it shown limited portion people being vaccinated steady-state efficacy equivalent role decreasing disease burden. From numerical simulation, using lead control provided its coverage reasonably high.