Stability Analysis and Numerical Simulation of the COVID-19 SISiR Model: Bahasa Indonesia

Putri, Arival Rince; Nasran, Berliani; Rudianto, Budi

doi:10.20956/j.v20i1.27747

Open access Jurnal

Stability Analysis and Numerical Simulation of the COVID-19 SISiR Model: Bahasa Indonesia

Jurnal Matematika, Statistika dan Komputasi · Vol. 20 No. 1 (2023) · pp. 258–267

DOI: 10.20956/j.v20i1.27747
ISSN: 2614-8811, 1858-1382
Published: 2023-09-06
Publisher: Department of Mathematics, Hasanuddin University
Language: en
License: creativecommons.org/licenses/by/4.0

Abstract

This research discusses the SISiR model (Susceptible Infected Sick Recovered) considering individual immune parameters and lockdown parameters. The consideration of these parameters aims to determine whether immunity and lockdown have an impact on the spread of COVID-19. The model's stability is analyzed around the equilibrium point to understand the dynamics of COVID-19 spread in a population. Furthermore, the parameter R0 is determined to indicate whether COVID-19 disappears or remains in the population. From numerical simulations with spesific parameter values, it is concluded that COVID-19 continues to spread in the population with an R0 = of 4.4486. The addition and reduction of immune and lockdown parameters affect the spread of COVID-19.

Keywords

Collaboration network of the authors

8 authors · 12 co-authorship links

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

Andalas University
Affiliation unknown

Different organisations
Same organisation
Affiliation unknown
Thicker line = more joint articles · bigger circle = more articles

Show as table

Co-author	Organisation	Joint articles
Susila Bahri	Affiliation unknown	1
Hanif Rayhan Riyandi	Affiliation unknown	1
Mahdhivan Syafwan	Andalas University	1
Muhafzan Muhafzan	Affiliation unknown	1
Syafrizal Sy	Affiliation unknown	1

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 5 Nov 2026.

Original metadata (oai_dc)

<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en">Stability Analysis and Numerical Simulation of the COVID-19 SISiR Model : Bahasa Indonesia</dc:title>
	<dc:creator xml:lang="en">Putri, Arival Rince</dc:creator>
	<dc:creator xml:lang="en">Nasran, Berliani </dc:creator>
	<dc:creator xml:lang="en">Rudianto, Budi </dc:creator>
	<dc:subject xml:lang="en">COVID-19</dc:subject>
	<dc:subject xml:lang="en">model SISiR</dc:subject>
	<dc:subject xml:lang="en">lockdown</dc:subject>
	<dc:subject xml:lang="en">analisis kestabilan</dc:subject>
	<dc:description xml:lang="en">This research discusses the SISiR model (Susceptible Infected Sick Recovered) considering individual immune parameters and lockdown parameters. The consideration of these parameters aims to determine whether immunity and lockdown have an impact on the spread of COVID-19. The model's stability is analyzed around the equilibrium point to understand the dynamics of COVID-19 spread in a population. Furthermore, the parameter R0 is determined to indicate whether COVID-19 disappears or remains in the population. From numerical simulations with spesific parameter values, it is concluded that COVID-19 continues to spread in the population with an R0 = of 4.4486. The addition and reduction of immune and lockdown parameters affect the spread of COVID-19.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2023-09-06</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://journal.unhas.ac.id/index.php/jmsk/article/view/27747</dc:identifier>
	<dc:identifier>10.20956/j.v20i1.27747</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 20 No. 1 (2023): SEPTEMBER, 2023; 258- 267</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/27747/10282</dc:relation>
	<dc:relation>10.20956/j.v20i1.27747.g10282</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2023 Author and publisher</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
</oai_dc:dc>