Stability Analysis of the SIRS Epidemic Model using the Fifth-order Runge Kutta Method

Tulus, T. J. Marpaung, D. Destawandi, M. R. Syahputra, Suriati

2018

Abstract

Transmission of the diseases can occur through interactions within the infection chain either directly or indirectly. In some cases, there are diseases that can enter endemic conditions; conditions of an outbreak of a disease in an area over a long period of time. This condition can be mathematically modeled by using certain assumptions and solved by the analytical and numerical solutions. In this research, we analyze the stability of disease spread by building a mathematical model of SIRS epidemic in infectious disease, whose numerical solution is obtained through Runge-Kutta 5th Order Method and simulated with MATLAB R2010 software. In the result of the simulation, it is concluded that the greater the rate of disease transmission, the lower the rate of recovery is and natural death can be caused endemic condition.

Paper Citation

in Harvard Style

Tulus., Marpaung T., Destawandi D., Syahputra M. and Suriati. (2018). Stability Analysis of the SIRS Epidemic Model using the Fifth-order Runge Kutta Method.In Proceedings of the 7th International Conference on Multidisciplinary Research - Volume 1: ICMR, ISBN 978-989-758-437-4, pages 79-84. DOI: 10.5220/0008886900790084

in Bibtex Style

@conference{icmr18,
author={Tulus and T. J. Marpaung and D. Destawandi and M. R. Syahputra and Suriati},
title={Stability Analysis of the SIRS Epidemic Model using the Fifth-order Runge Kutta Method},
booktitle={Proceedings of the 7th International Conference on Multidisciplinary Research - Volume 1: ICMR,},
year={2018},
pages={79-84},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008886900790084},
isbn={978-989-758-437-4},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 7th International Conference on Multidisciplinary Research - Volume 1: ICMR,
TI - Stability Analysis of the SIRS Epidemic Model using the Fifth-order Runge Kutta Method
SN - 978-989-758-437-4
AU - Tulus.
AU - Marpaung T.
AU - Destawandi D.
AU - Syahputra M.
AU - Suriati.
PY - 2018
SP - 79
EP - 84
DO - 10.5220/0008886900790084