A simple SIDTR endemic model to make tuberculosis free India and stop spreading

Abstract

In this paper, we construct a SIDTR model. We develop a system of differential equations for SIDTR (Suspected, Infected, Diagnosed, Treatment and Recovered) model and analyze the outbreak of Tuberculosis (TB) infection and its effect on Indian population. We established theorems on stability analysis conditions for disease free equilibrium and endemic equilibrium. The basic reproduction number R0 was determined by using the next generation matrix. We attempt to fit our proposed mathematical model by using real world data which was taken from WHO. We expect that this study will be effective on controlling Tuberculosis (TB) spread and also we predicted the future TB infection in India.