Abstract:
Tuberculosis (TB) is currently one of the major public health challenges in Ethiopia.
Mycobacterium tuberculosis is among the leading causes of morbidity and mortality.
It is known that tuberculosis is a curable infectious disease. In the case of incomplete
treatment, however, the remains of Mycobacterium tuberculosis in the human system
often results in the bacterium developing resistant to antibiotics. In this study the
dynamics of tuberculosis with drug resistant by considering compartments of
susceptible, exposed, infected, resistant to a first line of treatment and recovered
humans was investigated. The basic reproduction number, ℛ o, using the next
generation method was calculated. The disease free equilibrium and endemic
equilibrium were obtained and their stability analysis done to show that they are
locally and globally asymptotically stable. Numerical simulation result describes that
the interaction can eliminate the sensitive strain and reduces drug resistant
tuberculosis. To validate the model, the data collected from North Shoa Zone,
Oromiya Regional State from September 2013 to December 2018 were used
