merged

Stability Analysis for Tuberculosis (TB) Disease Dynamics Model
Nur Shuhada Binti Rusdi
Supervisor: Dr. Ummu ‘Atiqah Binti Mohd Roslan
Bachelor of Science (Financial Mathematics)
School of Informatics and Applied Mathematics
Tuberculosis (TB) is an infectious disease caused by the bacillus Mycobacterium
tuberculosis (MTB). It is well-known that this disease is a major global health problem.
To analyze this problem, we want to examine the non-negativity of equilibrium points,
positively-invariant and attracting region of TB model and to investigate the stability
analysis using Jacobian matrix. At the end of this project, the results showed that we
have two equilibrium points which are Disease Free Equilibrium (DFE) and Endemic
Equilibrium (EE). From this model, we obtained two types of stability which are saddle
and locally asymptotically stable. The study of TB dynamics is important since it can give
us better understanding about TB disease and we can also identify the health conditions
of some infected population through the TB model.
865 | UMT UNDERGRADUATE RESEARCH DAY 2018