OPTIMAL CONTROL ON CHOLERA DISEASE SPREADING MODEL WITH THREE VARIABLES CONTROL VARIATION

I. Fitria; T. B. Atlanta; N. Azahra; C. S. Agustina; S. Subchan; S. Cahyaningtias

doi:10.30598/barekengvol16iss2pp463-470

OPTIMAL CONTROL ON CHOLERA DISEASE SPREADING MODEL WITH THREE VARIABLES CONTROL VARIATION

I. Fitria, T. B. Atlanta, N. Azahra, C. S. Agustina, S. Subchan^*, S. Cahyaningtias

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

Cholera is an infection of the small intestine by some strains of the bacterium Vibrio Cholerae. This disease is a deadly disease that necessitates efficient prevention and control measures. In this research, the optimal control of the cholera spread model with variations of three control variables is discussed. There are four controls to minimize the spread of diseases such as sanitation, treatment consisting of quarantine, increased education, and chlorination. The dynamic system is formed with three controls variation. Then it is compared and analyzed for the most effective result. The optimal control solution is derived using the Pontryagin Minimum Principle and solved using the Runge-Kutta method.

Original language	English
Pages (from-to)	463-470
Number of pages	8
Journal	Barekeng
Volume	16
Issue number	2
DOIs	https://doi.org/10.30598/barekengvol16iss2pp463-470
Publication status	Published - Jun 2022

Keywords

Pontryagin minimum principle
Runge Kutta
optimal control

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.30598/barekengvol16iss2pp463-470

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title = "OPTIMAL CONTROL ON CHOLERA DISEASE SPREADING MODEL WITH THREE VARIABLES CONTROL VARIATION",

abstract = "Cholera is an infection of the small intestine by some strains of the bacterium Vibrio Cholerae. This disease is a deadly disease that necessitates efficient prevention and control measures. In this research, the optimal control of the cholera spread model with variations of three control variables is discussed. There are four controls to minimize the spread of diseases such as sanitation, treatment consisting of quarantine, increased education, and chlorination. The dynamic system is formed with three controls variation. Then it is compared and analyzed for the most effective result. The optimal control solution is derived using the Pontryagin Minimum Principle and solved using the Runge-Kutta method.",

keywords = "Pontryagin minimum principle, Runge Kutta, optimal control",

author = "I. Fitria and Atlanta, {T. B.} and N. Azahra and Agustina, {C. S.} and S. Subchan and S. Cahyaningtias",

year = "2022",

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T1 - OPTIMAL CONTROL ON CHOLERA DISEASE SPREADING MODEL WITH THREE VARIABLES CONTROL VARIATION

AU - Fitria, I.

AU - Atlanta, T. B.

AU - Azahra, N.

AU - Agustina, C. S.

AU - Subchan, S.

AU - Cahyaningtias, S.

PY - 2022/6

Y1 - 2022/6

N2 - Cholera is an infection of the small intestine by some strains of the bacterium Vibrio Cholerae. This disease is a deadly disease that necessitates efficient prevention and control measures. In this research, the optimal control of the cholera spread model with variations of three control variables is discussed. There are four controls to minimize the spread of diseases such as sanitation, treatment consisting of quarantine, increased education, and chlorination. The dynamic system is formed with three controls variation. Then it is compared and analyzed for the most effective result. The optimal control solution is derived using the Pontryagin Minimum Principle and solved using the Runge-Kutta method.

AB - Cholera is an infection of the small intestine by some strains of the bacterium Vibrio Cholerae. This disease is a deadly disease that necessitates efficient prevention and control measures. In this research, the optimal control of the cholera spread model with variations of three control variables is discussed. There are four controls to minimize the spread of diseases such as sanitation, treatment consisting of quarantine, increased education, and chlorination. The dynamic system is formed with three controls variation. Then it is compared and analyzed for the most effective result. The optimal control solution is derived using the Pontryagin Minimum Principle and solved using the Runge-Kutta method.

KW - Pontryagin minimum principle

KW - Runge Kutta

KW - optimal control

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DO - 10.30598/barekengvol16iss2pp463-470

M3 - Article

AN - SCOPUS:85217873830

SN - 1978-7227

VL - 16

SP - 463

EP - 470

JO - Barekeng

JF - Barekeng

IS - 2

ER -

OPTIMAL CONTROL ON CHOLERA DISEASE SPREADING MODEL WITH THREE VARIABLES CONTROL VARIATION

Abstract

Keywords

UN SDGs

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