ANALYSIS OF OPTIMUM CONTROL ON THE IMPLEMENTATION OF VACCINATION AND QUARANTINE ON THE SPREAD OF COVID-19

  • Agusyarif Rezka Nuha Mathematics Department, Gorontalo State University
  • Novianita Achmad Mathematics Department, Gorontalo State University
  • Gusti Arviana Rahman Mathematics Department, Halu Oleo University
  • Syarif Abdullah Mechanical Engineering Department, University of Sultan Ageng Tirtayasa
  • Sri Istiyarti Uswatun Chasanah Mathematics Department, UIN Sunan Kalijaga
  • Nina Valentika Mathematics Department, Pamulang University
  • La Ode Nashar Mathematics Department, Gorontalo State University
DOI: https://doi.org/10.30598/barekengvol16iss4pp1139-1146
Keywords: COVID-19, Optimum Control, Quarantine, Treatment, Vaccination

Abstract

This study constructs an SVIR-type COVID-19 spread model into a model with control variables or optimum control problems. In the formulation of the model with controls, we set four control variables, namely vaccination strategy, quarantine, reduction of vaccine shrinkage, and treatment. Pontryagin 's maximum principle is applied in the model as a sufficient condition to achieve optimum conditions for minimizing the objective function . This study uses a numerical solution to describe the theoretical results. The results showed that the control model could accelerate the decrease in the number of individuals in the infected population class. We found that vaccination is a top priority that needs to be done to reduce the number of cases of COVID-19 infection. In addition, the implementation of quarantine can also be considered to accelerate the decrease in the number of individuals infected with COVID-19.

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Published
2022-12-15
How to Cite
[1]
A. Nuha, “ANALYSIS OF OPTIMUM CONTROL ON THE IMPLEMENTATION OF VACCINATION AND QUARANTINE ON THE SPREAD OF COVID-19”, BAREKENG: J. Math. & App., vol. 16, no. 4, pp. 1139-1146, Dec. 2022.
Issue
Vol 16 No 4 (2022): BAREKENG: Journal of Mathematics and Its Applications
Section
Articles

Copyright (c) 2022 Agusyarif Rezka Nuha, Novianita Achmad, Gusti Arviana Rahman, Syarif Abdullah, Sri Istiyarti Uswatun Chasanah, Nina Valentika, La Ode Nashar

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