Research Article
Numerical Solution of Delayed SIR Model of Tuberculosis with Combination of Runge Kutta Method and Taylor Series Approach
@INPROCEEDINGS{10.4108/eai.18-10-2018.2287390, author={Budi Halomoan Siregar and Yulita Molliq Rangkuti and Abil Mansyur}, title={Numerical Solution of Delayed SIR Model of Tuberculosis with Combination of Runge Kutta Method and Taylor Series Approach}, proceedings={Proceedings of The 5th Annual International Seminar on Trends in Science and Science Education, AISTSSE 2018, 18-19 October 2018, Medan, Indonesia}, publisher={EAI}, proceedings_a={AISTSSE}, year={2019}, month={10}, keywords={runge kutta method taylor series sir model time delay}, doi={10.4108/eai.18-10-2018.2287390} }- Budi Halomoan Siregar
Yulita Molliq Rangkuti
Abil Mansyur
Year: 2019
Numerical Solution of Delayed SIR Model of Tuberculosis with Combination of Runge Kutta Method and Taylor Series Approach
AISTSSE
EAI
DOI: 10.4108/eai.18-10-2018.2287390
Abstract
In this paper, the implementation of fourth-order Runge Kutta method with Taylor series approach for solving Susceptible Infected Remove (SIR) Model withincluding to system of delay differential equation (DDEs). The method obtained approximate solutions of the model using constant step size. The DDEs will be treated in expantion of Taylor Series i.e. y(t-τ)=y(t)+τ dy/dt. Numerical results are presented to show that the method is suitable for solving the System of DDEs and also time delay give the effect to Infected and recovered populations for τ≥0.
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