Dynamics of one-strain pulmonary tuberculosis model with vaccination and treatment

Abstract

Tuberculosis (TB) is bacterial infectious disease caused by pathogen Mycobacterium tuberculosis. TB inflicts many human deaths and suffering globally and Tanzania in particular due to absence, failure and delayed interventions. A continuous time deterministic model to assess the impact of vaccination and treatment on transmission dynamics of one-strain tuberculosis for the purpose of eliminating TB from community is considered. The model analysis is carried out by computing effective reproduction number  used to investigate the impact of vaccination and treatment interventions. Numerical sensitivity analysis of is performed. We find that the parameters for proportion of babies vaccinated at birth and treatment of active TB cases have high impact on . Numerical simulation results show that TB clears from community when  and the combination of both vaccination and treatment has desirable effect of curbing TB infections than when one strategy is taken at a time. We recommend that vaccination coverage of newly born babies should be accompanied by treatment of active TB individuals for significant reduction of disease transmission.