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

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 16 No. 4 (2022) · pp. 1139–1146

DOI
10.30598/barekengvol16iss4pp1139-1146
ISSN
2615-3017, 1978-7227
Published
2022-12-15
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

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.

Collaboration network of the authors

39 authors · 113 co-authorship links

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Universitas Halu Oleo
  • Institut Agama Islam Muhammadiyah Sinjai
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Lailany YahyaAffiliation unknown4
Resmawan ResmawanAffiliation unknown3
Natalis RansiUniversitas Halu Oleo2
R. ResmawanAffiliation unknown2
Amanda AdityaningrumAffiliation unknown2
Dewi Rahmawaty IsaAffiliation unknown2
Sri Lestari MahmudAffiliation unknown2
Rusniwati S. ImranAffiliation unknown2
AsnaniAffiliation unknown1
Umu KhabibahUniversitas Halu Oleo1
Andi TenriawaruUniversitas Halu Oleo1
Auni TiftazaniUniversitas Halu Oleo1
Amal AnugraUniversitas Halu Oleo1
Almunajat Amirul SolehAffiliation unknown1
Sri Adiningsi B. UsmanAffiliation unknown1
Nur Safitri AbdulAffiliation unknown1
La Ode SabranUniversitas Halu Oleo1
Ilham Dangu RianjayaAffiliation unknown1
Lilis Harianti HasibuanAffiliation unknown1
Nazrilla Hasan LaitaAffiliation unknown1
Ismail DjakariaAffiliation unknown1
Muhammad Rezky Friesta PayuAffiliation unknown1
Sri Indriani LadjaliAffiliation unknown1
Herlina JusufAffiliation unknown1
Anang KurniaAffiliation unknown1
Arie PurwantoAffiliation unknown1
Muhammad Aziz SuprayogiAffiliation unknown1
Erwan SetiawanAffiliation unknown1
Joao Ferreira Rendes Bean LolyAffiliation unknown1
Asriadi AsriadiInstitut Agama Islam Muhammadiyah Sinjai1
Annisa Maharani BrahimAffiliation unknown1
Melasarah Deswita RahmadiAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">ANALYSIS OF OPTIMUM CONTROL ON THE IMPLEMENTATION OF VACCINATION AND QUARANTINE ON THE SPREAD OF COVID-19</dc:title>
	<dc:creator>Nuha, Agusyarif Rezka</dc:creator>
	<dc:creator>Achmad, Novianita</dc:creator>
	<dc:creator>Rahman, Gusti Arviana</dc:creator>
	<dc:creator>Abdullah, Syarif</dc:creator>
	<dc:creator>Chasanah, Sri Istiyarti Uswatun</dc:creator>
	<dc:creator>Valentika, Nina</dc:creator>
	<dc:creator>Nashar, La Ode</dc:creator>
	<dc:description xml:lang="en-US">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.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2022-12-15</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5199</dc:identifier>
	<dc:identifier>10.30598/barekengvol16iss4pp1139-1146</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 16 No 4 (2022): BAREKENG: Journal of Mathematics and Its Applications; 1139-1146</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol16iss4year2022</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5199/5130</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2022 Agusyarif Rezka Nuha, Novianita Achmad, Gusti Arviana Rahman, Syarif Abdullah, Sri Istiyarti Uswatun Chasanah, Nina Valentika, La Ode Nashar</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>