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.

Author Biographies

Sulasri Suddin, Universitas Timor

Education Mathematics Study Program

Elinora Naikteas Bano, Universitas Timor

Mathematics Study Program

Meri Hari Yanni, STKIP Bumi Persada Lhokseumawe

Informatics Study Program




How to Cite

Suddin, S., Bano, E. N., & Yanni, M. H. (2021). Mathematical Modelling of Multidrug-Resistant Tuberculosis with Vaccination. MATEMATIKA, 109–120. Retrieved from