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

  • Irma Fitria Departement of Statistics, Institut Teknologi Kalimantan Karang Joang
  • Talitha B Atlanta Departement of Mathematics, Institut Teknologi Sepuluh Nopember
  • Nadia Azahra Departement of Mathematics, Institut Teknologi Sepuluh Nopember
  • Choiriyah Agustina Departement of Mathematics, Institut Teknologi Sepuluh Nopember
  • Subchan Subchan Departement of Mathematics, Institut Teknologi Sepuluh Nopember
  • S Cahyaningtias School of Mathematics and Statistical Science, Arizona State University 900 Palm Walk
DOI: https://doi.org/10.30598/barekengvol16iss2pp463-470
Keywords: Runge Kutta, optimal control, Pontryagin minimum principle

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.

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Published
2022-06-01
How to Cite
[1]
I. Fitria, T. Atlanta, N. Azahra, C. Agustina, S. Subchan, and S. Cahyaningtias, “OPTIMAL CONTROL ON CHOLERA DISEASE SPREADING MODEL WITH THREE VARIABLES CONTROL VARIATION”, BAREKENG: J. Math. & App., vol. 16, no. 2, pp. 463-470, Jun. 2022.
Issue
Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Section
Articles

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