AN MSEIR MATHEMATICAL MODEL FOR THE TRANSMISSION DYNAMICS OF TUBERCULOSIS

Tuberculosis (TB) is an infectious disease caused by bacteria and it is transmitted by tiny airborne droplets which are expelled into the air when a person with active pulmonary TB coughs or talks, it is the second deadliest disease due to a single infectious agent only after HIV/AIDS. This study presents a simple deterministic model for the transmission dynamic of tuberculosis. Analytical study was carried out and the results shows that the disease free equilibrium (DFE) points are locally asymptotically stable (LAS) whenever Ro < 1 and global asymptotically stable (GAS) whenever Ro ≤ l. The result of the numerical experiment carried out indicates that behavioral change significantly improves the rate at which tuberculosis is eradicated from the society.