Mathematical Modelling of Multidrug-Resistant Tuberculosis with Vaccination
Tuberculosis (TB) infectious disease caused by Mycobacterium tuberculosis (Mtb) remains a health threat to the community. In particular, TB infections that are resistant to drugs or commonly known as MDR-TB are still experiencing difficulties, especially in the treatment process. Currently, the development of a vaccine against latent TB is essential in combating the TB epidemic. In this paper, a mathematical model for MDR-TB is developed to estimate the impact of vaccination on future epidemiology. The equilibrium point and stability analysis of the model are also determined and performed, respectively. Furthermore, numerical simulations were carried out using MATLAB software based on the data that had been obtained to predict the development of MDR-TB associated vaccination and consider relevant suggestions in the future.