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Authors:  Tulus 1 ; T. J. Marpaung 1 ; D. Destawandi 1 ; M. R. Syahputra 1 and  Suriati 2

Affiliations: 1 Departement of Mathematics, Universitas Sumatera Utara, Padang Bulan 20155 Medan, Indonesia ; 2 Departement of Informatics, Universitas Harapan Medan, 20218 Medan, Indonesia

Keyword(s): Runge-Kutta Method, SIRS Epidemic Model.

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.

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Paper citation in several formats:
Tulus.; Marpaung, T.; Destawandi, D.; Syahputra, M. and Suriati. (2020). Stability Analysis of the SIRS Epidemic Model using the Fifth-order Runge Kutta Method. In Proceedings of the 7th International Conference on Multidisciplinary Research - ICMR; ISBN 978-989-758-437-4; ISSN 2184-5166, SciTePress, pages 79-84. DOI: 10.5220/0008886900790084

@conference{icmr20,
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 - ICMR},
year={2020},
pages={79-84},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008886900790084},
isbn={978-989-758-437-4},
issn={2184-5166},
}

TY - CONF

JO - Proceedings of the 7th International Conference on Multidisciplinary Research - ICMR
TI - Stability Analysis of the SIRS Epidemic Model using the Fifth-order Runge Kutta Method
SN - 978-989-758-437-4
IS - 2184-5166
AU - Tulus.
AU - Marpaung, T.
AU - Destawandi, D.
AU - Syahputra, M.
AU - Suriati.
PY - 2020
SP - 79
EP - 84
DO - 10.5220/0008886900790084
PB - SciTePress

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