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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
  • Institut Teknologi Kalimantan
  • Institut Teknologi Sepuluh Nopember
  • Arizona State University

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)463-470
Number of pages8
JournalBarekeng
Volume16
Issue number2
DOIs
Publication statusPublished - Jun 2022

UN SDGs

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

  1. SDG 3 - Good Health and Well-being
    SDG 3 Good Health and Well-being

Keywords

  • Pontryagin minimum principle
  • Runge Kutta
  • optimal control

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