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Two isolation treatments on the COVID-19 model and optimal control with public education

Jambura Journal of Biomathematics (JJBM) · Vol. ume (2023) · hlm. 88–94

DOI
10.34312/jjbm.v4i1.19963
ISSN
2723-0317
Terbit
2023-06-30
Penerbit
Department of Mathematics, Universitas Negeri Gorontalo
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-nc/4.0

Abstrak

This study examines a COVID-19 mathematical model with two isolation treatments. We assume that isolation has two treatments: isolation with and without treatment. We also investigated the model using public education as a control. We show that the model has two equilibria based on the model without control. The basic reproduction number influences the local stability of the equilibrium and the presence of an endemic equilibrium. Therefore, the optimal control problem is solved by applying Pontryagin's Principle. In the 100th day following the intervention, the number of reported diseases decreased by 85.5% when public education was used as the primary control variable in the simulations.

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  • Universitas Airlangga
  • Hasanuddin University
  • Universitas Halu Oleo
  • Gunadarma University
  • Universitas Islam Negeri Ar-Raniry
  • Universitas Islam Negeri Palopo
  • Malikussaleh University
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Rekan penulisOrganisasiArtikel bersama
Afeez AbidemiFederal University of Technology3
John Olajide AkanniKolaDaisi University3
Kezia Yansen PasangGunadarma University2
Julianto JuliantoUniversitas Islam Negeri Ar-Raniry2
Indah Nurun IzzatiUniversitas Airlangga2
Ananda NoersenaUniversitas Airlangga2
Nabil Azizul HakimUniversitas Airlangga2
Faishal Farrel HerdichoUniversitas Airlangga2
Wahyuni HusainUniversitas Islam Negeri Palopo1
Muhammad Ashabul KahfiUniversitas Islam Negeri Palopo1
Agus IndiyantoUniversitas Gadjah Mada1
Bahtiar BahtiarUniversitas Halu Oleo1
Fitriah AmirUniversitas Halu Oleo1
Stefanie Jessica Henny LarasatiDiponegoro University1
Chairun Annisa AryantiUniversitas Halu Oleo1
Retno FitriantiHasanuddin University1
Insany Fitri NurqamarHasanuddin University1
Mirzalina ZaenalHasanuddin University1
Daniella Cynthia SHasanuddin University1
Wahda WahdaHasanuddin University1
Ahmadin AhmadinUniversitas Airlangga1
Abyan Daffa AkbarUniversitas Airlangga1
Mohamad IsramAfiliasi tidak diketahui1
Sara Wibawaning RespatiPoliteknik Negeri Balikpapan1
Sri KusriniAfiliasi tidak diketahui1
Ria Riski MarsukiState University of Semarang1
Hukmawati HukmawatiGunadarma University1
Sri Khaerani RahmanUniversitas Bosowa1
Arini JunaenyState University of Makassar1
Muhammad TaufikUniversitas Halu Oleo1
Siti MaryamMalikussaleh University1
Nuszep AlmigoSultan Idris Education University1
Fadhli A GaniUniversitas Syiah Kuala1
Rawdhah Binti YasaUniversitas Islam Negeri Ar-Raniry1
Siti MaryamMalikussaleh University1
Muhammad ShuhufiUniversitas Islam Negeri Alauddin Makassar1
Muhammad QadaruddinInstitut Agama Islam Negeri Parepare1

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Sumber metadata: OAI-PMH (metadata jurnal) http://ejurnal.ung.ac.id/index.php/JJBM/oai, pertama di-harvest 9 Nov 2026, terakhir terlihat 9 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">Two isolation treatments on the COVID-19 model and optimal control with public education</dc:title>
	<dc:creator>Rois, Muhammad Abdurrahman</dc:creator>
	<dc:creator>Fatmawati, Fatmawati</dc:creator>
	<dc:creator>Alfiniyah, Cicik</dc:creator>
	<dc:subject xml:lang="en-US">Mathematical Model; COVID-19; Optimal Control</dc:subject>
	<dc:description xml:lang="en-US">This study examines a COVID-19 mathematical model with two isolation treatments. We assume that isolation has two treatments: isolation with and without treatment. We also investigated the model using public education as a control. We show that the model has two equilibria based on the model without control. The basic reproduction number influences the local stability of the equilibrium and the presence of an endemic equilibrium. Therefore, the optimal control problem is solved by applying Pontryagin's Principle. In the 100th day following the intervention, the number of reported diseases decreased by 85.5% when public education was used as the primary control variable in the simulations.</dc:description>
	<dc:publisher xml:lang="en-US">Department of Mathematics, Universitas Negeri Gorontalo</dc:publisher>
	<dc:contributor xml:lang="en-US"></dc:contributor>
	<dc:date>2023-06-30</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en-US">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ejurnal.ung.ac.id/index.php/JJBM/article/view/19963</dc:identifier>
	<dc:identifier>10.34312/jjbm.v4i1.19963</dc:identifier>
	<dc:source xml:lang="en-US">Jambura Journal of Biomathematics (JJBM); Volume 4, Issue 1: June 2023; 88-94</dc:source>
	<dc:source>2723-0317</dc:source>
	<dc:source>10.34312/jjbm.v4i1</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ejurnal.ung.ac.id/index.php/JJBM/article/view/19963/6723</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Muhammad Abdurrahman Rois, Fatmawati, Cicik Alfiniyah</dc:rights>
	<dc:rights xml:lang="en-US">https://creativecommons.org/licenses/by-nc/4.0</dc:rights>
</oai_dc:dc>