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Global Stability of Covid-19 Disease Free Based on Sivrs Model

Jurnal Matematika, Statistika dan Komputasi · Vol. 19 No. 2 (2023) · pp. 400–411

DOI
10.20956/j.v19i2.24386
ISSN
2614-8811, 1858-1382
Published
2023-01-05
Publisher
Department of Mathematics, Hasanuddin University
Language
en
License
creativecommons.org/licenses/by/4.0

Abstract

English

This study discusses the spread of the Covid-19 disease by including new variant variables. The model used by SIVRS assumes there are deaths caused by Covid-19 and the new variant Covid-19. In addition, individuals who have been infected with the new variant of Covid-19 can recover. Based on the model, disease-free equilibrium points and endemic equilibrium points are obtained. The analysis was carried out around the disease-free equilibrium point and the result was that the global asymptotically stable disease-free equilibrium point with the condition R0<1. Furthermore, a simulation was carried out with the Maple 18.

Indonesian

Penelitian ini membahas mengenai penyebaran penyakit Covid-19 dengan menyertakan variabel varian baru. Model yang digunakan SIVRS dengan asumsi terdapat kematian yang disebabkan oleh Covid-19 dan Covid-19 varian baru. Selain itu, individu yang telah terinfeksi Covid-19 varian baru dapat sembuh. Berdasarkan model, diperoleh titik ekuilibrium bebas penyakit dan titik ekuilibrium endemik. Analisa dilakukan disekitar titik ekuilibrium bebas penyakit diperoleh hasil bahwa titik ekuilibrium bebas penyakit stabil asimtotik global dengan syarat R0<1. Selanjutnya dilakukan simulasi dengan program Maple 18.

Keywords

Collaboration network of the authors

5 authors · 10 co-authorship links · 7 across different organisations

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

  • University of Bengkulu
  • Universitas Gadjah Mada
  • IPB University
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Nurul HidayatiIPB University1
Septri DamayantiUniversity of Bengkulu1
Siska YosmarUniversity of Bengkulu1
Bunga Aulya WarrahmaUniversity of Bengkulu1

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://journal.unhas.ac.id/index.php/jmsk/oai, first harvested 5 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en">Global Stability of Covid-19 Disease Free Based on Sivrs Model</dc:title>
	<dc:creator xml:lang="en">Widayati, Ratna </dc:creator>
	<dc:subject xml:lang="en">Covid-19</dc:subject>
	<dc:subject xml:lang="en">SIVRS</dc:subject>
	<dc:subject xml:lang="en">Liapunov</dc:subject>
	<dc:description xml:lang="en">This study discusses the spread of the Covid-19 disease by including new variant variables. The model used by SIVRS assumes there are deaths caused by Covid-19 and the new variant Covid-19. In addition, individuals who have been infected with the new variant of Covid-19 can recover. Based on the model, disease-free equilibrium points and endemic equilibrium points are obtained. The analysis was carried out around the disease-free equilibrium point and the result was that the global asymptotically stable disease-free equilibrium point with the condition R0&amp;lt;1. Furthermore, a simulation was carried out with the Maple 18.</dc:description>
	<dc:description xml:lang="id">Penelitian ini membahas mengenai penyebaran penyakit Covid-19 dengan menyertakan variabel varian baru. Model yang digunakan SIVRS dengan asumsi terdapat kematian yang disebabkan oleh Covid-19 dan Covid-19 varian baru. Selain itu, individu yang telah terinfeksi Covid-19 varian baru dapat sembuh. Berdasarkan model, diperoleh titik ekuilibrium bebas penyakit dan titik ekuilibrium endemik. Analisa dilakukan disekitar titik ekuilibrium bebas penyakit diperoleh hasil bahwa titik ekuilibrium bebas penyakit stabil asimtotik global dengan syarat R0&amp;lt;1. Selanjutnya dilakukan simulasi dengan program Maple 18.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2023-01-05</dc:date>
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	<dc:identifier>https://journal.unhas.ac.id/index.php/jmsk/article/view/24386</dc:identifier>
	<dc:identifier>10.20956/j.v19i2.24386</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 19 No. 2 (2023): JANUARY 2023; 400-411</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/24386/9162</dc:relation>
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	<dc:rights xml:lang="en">Copyright (c) 2023 Author and publisher</dc:rights>
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