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Feb 17, 2026Keywords:
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Mathematical Modeling of Mycobacterium Tuberculosis Transmission in Human with Plan for Vaccination after Recovery through Hospital Treatments
Abstract
Tuberculosis (TB), a serious public health infection that mainly affects the lungs, is caused by bacteria (Mycobacterium tuberculosis, TB). This research analyzed using a compartmental modelling approach to study the transmission dynamics of TB with different stages of infection. Qualitative analysis of the proposed model reveals that the model exhibits two equilibrium points: the disease-free equilibrium point (DFE) and the endemic equilibrium (EE). The basic reproduction number (Ro) is determined using the next generation matrix technique, and stability analysis is carried out to show whether the disease can persist or die out in population. With the aid of the sensitivity analysis, we determined the most sensitive parameters of the model to control the spread of TB infection effectively. Our analysis shows that treatment (medication) and campaign awareness coupled with other key control measures, could help bring the spread of MTB infection in human geographical boundaries under control and improve livelihood.
