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Authors:  Subchan 1 ; Sentot D. Surjanto 1 ; Irma Fitria 2 and Dwita S. Anggraini 1

Affiliations: 1 Departement of mathematics, Institut Teknologi Sepuluh Nopember, Indonesia ; 2 Departement of mathematics, Institut Teknologi Kalimantan, Indonesia

Keyword(s): Cholera Model, Optimal Control, Pontryagin Minimum Principle.

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.

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Paper citation in several formats:
Subchan.; Surjanto, S.; Fitria, I. and Anggraini, D. (2020). 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 - ICASESS; ISBN 978-989-758-452-7, SciTePress, pages 236-240. DOI: 10.5220/0009881902360240

@conference{icasess20,
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 - ICASESS},
year={2020},
pages={236-240},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0009881902360240},
isbn={978-989-758-452-7},
}

TY - CONF

JO - Proceedings of the 2nd International Conference on Applied Science, Engineering and Social Sciences - 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 - 2020
SP - 236
EP - 240
DO - 10.5220/0009881902360240
PB - SciTePress

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