Numerical solution of SIR model for transmission of tuberculosis by Runge-Kutta method

Abstract

This paper discusses the numerical solution of the SIR model on the spread of Tuberculosis by the Runge-Kutta method. The data used is secondary data of Tuberculosis cases in Makassar city from Health Department of South Sulawesi Province in 2015. The result obtained is a general solution of SIR model of Tuberculosis transmission by fourth-order Runge-Kutta method. The results of model analysis and simulation using data on the number of tuberculosis cases in Makassar showed that tuberculosis cases increased for some time, then decreased. The results have also shown that the fourth-order Runge-Kutta method can be used to predict the transmission and to be considered for the prevention of Tuberculosis in Makassar.