Witbooi, Peter JosephMengistu, Ashenafi Kelemu2021-01-272021-01-272020Witbooi, P. J., & Mengistu, A. K. (2020). Mathematical analysis of TB model with vaccination and saturated incidence rate. Abstract and Applied Analysis, 2020,66699971687-040910.1155/2020/6669997http://hdl.handle.net/10566/5770The model system of ordinary differential equations considers two classes of latently infected individuals, with different risk of becoming infectious. The system has positive solutions. By constructing a Lyapunov function, it is proved that if the basic reproduction number is less than unity, then the disease-free equilibrium point is globally asymptotically stable. The Routh-Hurwitz criterion is used to prove the local stability of the endemic equilibrium when R0 > 1. The model is illustrated using parameters applicable to Ethiopia. A variety of numerical simulations are carried out to illustrate our main results.enEthiopiaVaccinationMathematical analysisTuberculosis (TB)Bacillus Calmette-Guérin (BCG)Article