1 DYNAMICS OF ONE-STRAIN PULMONARY TUBERCULOSIS MODEL WITH VACCINATION AND TREATMENT

Copyright © 2014 Mlay, Luboobi, Kuznetsov, and Shahada. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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 e R used to investigate the impact of vaccination and treatment interventions. Numerical sensitivity analysis of e R is performed. We find that the parameters for proportion of babies vaccinated at birth and treatment of active TB cases have high impact on e R