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

Tulus, T. J. Marpaung, D. Destawandi, J. L. Marpaung, Suriati

2019

Abstract

Transmission of the disease occurs through interactions in the infection chain both directly and indirectly. There are several causes of a disease that can enter endemic conditions, namely the condition of a disease outbreak in an area for a long time. This condition can be modeled mathematically using certain assumptions that will then be solved by analytical and numerical solutions. In this study, an analysis of the stability of disease spread will be carried out by constructing a mathematical model of the SIRS epidemic in infectious diseases. The results obtained are based on numerical solutions obtained through the Runge-Kutta 5th Order Method. After that, analysis and simulation are done with the MATLAB program. In the simulation results, it can be seen that the greater the rate of disease transmission or the low recovery rate and natural death causes endemic conditions.

Paper Citation

in Harvard Style

Tulus., Marpaung T., Destawandi D., Marpaung J. and Suriati. (2019). Stability Analysis of the SIRS Epidemic Model using the Fifth-order Runge Kutta Method. In Proceedings of the 1st International MIPAnet Conference on Science and Mathematics - Volume 1: IMC-SciMath, ISBN 978-989-758-556-2, pages 376-381. DOI: 10.5220/0010187100002775

in Bibtex Style

@conference{imc-scimath19,
author={Tulus and T. J. Marpaung and D. Destawandi and J. L. Marpaung and Suriati},
title={Stability Analysis of the SIRS Epidemic Model using the Fifth-order Runge Kutta Method},
booktitle={Proceedings of the 1st International MIPAnet Conference on Science and Mathematics - Volume 1: IMC-SciMath,},
year={2019},
pages={376-381},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010187100002775},
isbn={978-989-758-556-2},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 1st International MIPAnet Conference on Science and Mathematics - Volume 1: IMC-SciMath,
TI - Stability Analysis of the SIRS Epidemic Model using the Fifth-order Runge Kutta Method
SN - 978-989-758-556-2
AU - Tulus.
AU - Marpaung T.
AU - Destawandi D.
AU - Marpaung J.
AU - Suriati.
PY - 2019
SP - 376
EP - 381
DO - 10.5220/0010187100002775