Optimization of Cholera Spreading using Sanitation, Quarantine, Education and Chlorination Control

Subchan, Sentot D. Surjanto, Irma Fitria, Dwita S. Anggraini

2019

Abstract

Cholera is a contagious and deadly disease that requires an effective prevention and control actions. In this paper, several efforts are made to prevent the cholera spreading by reconstructing the mathematical model and adding control sanitation, treatment consisted of quarantine and education as well as chlorination on to the bacteria. The Pontryagin Minimum Principle is employed to derive the optimal control solution and solved by Runge-Kutta method. The computational results showed that the control was able to minimize the number of individuals infected by cholera with mild symptoms at the final time as many as 2 individuals and individuals infected by cholera with severe symptoms at the final time as many as 7 individuals as well as minimize the number of bacteria concentrations at the final time as much as 517 cell/ml.

Paper Citation

in Harvard Style

Subchan., Surjanto S., Fitria I. and Anggraini D. (2019). Optimization of Cholera Spreading using Sanitation, Quarantine, Education and Chlorination Control.In Proceedings of the 2nd International Conference on Applied Science, Engineering and Social Sciences - Volume 1: ICASESS, ISBN 978-989-758-452-7, pages 236-240. DOI: 10.5220/0009881902360240

in Bibtex Style

@conference{icasess19,
author={Subchan and Sentot D. Surjanto and Irma Fitria and Dwita S. Anggraini},
title={Optimization of Cholera Spreading using Sanitation, Quarantine, Education and Chlorination Control},
booktitle={Proceedings of the 2nd International Conference on Applied Science, Engineering and Social Sciences - Volume 1: ICASESS,},
year={2019},
pages={236-240},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0009881902360240},
isbn={978-989-758-452-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 2nd International Conference on Applied Science, Engineering and Social Sciences - Volume 1: ICASESS,
TI - Optimization of Cholera Spreading using Sanitation, Quarantine, Education and Chlorination Control
SN - 978-989-758-452-7
AU - Subchan.
AU - Surjanto S.
AU - Fitria I.
AU - Anggraini D.
PY - 2019
SP - 236
EP - 240
DO - 10.5220/0009881902360240