Analysis and simulation of mathematical model for the spread of tuberculosis use SEIT type with DOTS strategy

Tuberculosis is a contagious disease caused by mycobacterium tuberculosis, which transmitted through aerosols or droplet nuclei into the air when person coughs, sneezes, talks and then inhaled airway. In this study, mathematical model will be formulated to describe spread of tuberculosis with DOTS strategy using SEIT type epidemic model. Furthermore, obtained determine stability, look for basic reproduction number (R0), simulate MatLab. From analysis carried out, it was two equilibrium points, namely disease-free point F0=(S0,E0,I0,T0)=(αμ,0,0,0) endemic F1 (S*, E*, I*, T*). By Routh-Hurwitz criterion, that from points asymptotically stable. The out also produces (R0) whereby, R0 > 1 endemic. simulation MatLab software variation parameter value ω (rate active patients undergoing treatment strategy), higher ω, less is.