Mathematical Model of Tuberculosis Transmission in A Two-Strain with Vaccination

This paper deals with the mathematical analysis of the spread of tuberculosis with vaccination in a two-strain model. The vaccination reproduction ratio (R-rs.) and equilibria quantities for the models are determined and stability of the solution is analyzed. We prove that if the vaccination reproduction ratio R-rs < 1 the disease free equilibrium is locally and asymptotically stable on the nonnegative Pliant and if R-rs > I of the other equilibria is locally and asymptotically stable. At the end of this study, the numerical computation presented and it shows that vaccination and treatment capable to reduce the number of exposed and infected compartments.