Modelling of the Treatment Against the Transmission Dynamics of Tuberculosis

In this article, we develop and analyse a deterministic mathematical model to understand the transmission dynamics of tuberculosis (TB). The model incorporates asymptomatic and symptomatic contamination levels of people and also considers treatments for these classes. We determine R0 , which is known as the number of reproductions that help us to understand whether tuberculosis persists within the human population. Our study shows that the tuberculosis-free equilibrium is locally and globally asymptotically stable while the basic quantity R0<1, whereas the model endemic equilibrium points are also locally and globally asymptotically stable under a Lyapunov function whenever R0>1. Sensitivity analysis indicates that certain parameters play an important role in eradicating tuberculosis infectious among the population. To obtain analytical outcomes, a 4th-order Runge-Kutta numerical technique is used, and numerical experiments demonstrate that the implementation of monitored treatment can effectively reduce the disease burden within the community.