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ANALISIS PERILAKU MODEL SIR TANPA DAN DENGAN VAKSINASI

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 14 No. 2 (2020) · pp. 217–226

DOI
10.30598/barekengvol14iss2pp217-226
ISSN
2615-3017, 1978-7227
Published
2020-06-01
Publisher
PATTIMURA UNIVERSITY
Language
eng

Abstract

Vaccination is one of the methods to control and prevent the spread of infectious diseases. SIR model (susceptible, infected, recovered) without and with vaccination were developed. The behavior of the solutions of the two models is analyzed through stability analysis around the equilibrium points. The stability is also associated with a threshold number indicating the population is free or infected. Analytical results are confirmed with numerical results that are presented on the graphic solution and phase portrait. The results of numerical simulations conclude that vaccination is more effective for inhibiting the transmission of the disease than without vaccination

Collaboration network of the authors

16 authors · 31 co-authorship links

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

  • Universitas Halu Oleo
  • Andalas University
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Mahdhivan SyafwanAndalas University2
Prisca JasmineAffiliation unknown2
Darmin TuwuUniversitas Halu Oleo1
Tanzil TanzilUniversitas Halu Oleo1
Rastika Dwiyanti LiaranAffiliation unknown1
La Ode Ali ImranAffiliation unknown1
Muthiah As SaidahAffiliation unknown1
Harahap AminAffiliation unknown1
Zahedi -Affiliation unknown1
Lolang EnosAffiliation unknown1
Ansoruddin AnsoruddinAffiliation unknown1
Wingkolatin WingkolatinAffiliation unknown1
Bala Muhammad MuhammadAffiliation 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">ANALISIS PERILAKU MODEL SIR TANPA DAN DENGAN VAKSINASI</dc:title>
	<dc:creator>Pertiwi, Julia Indah</dc:creator>
	<dc:creator>Putri, Arrival Rince</dc:creator>
	<dc:creator>Efendi, Efendi</dc:creator>
	<dc:description xml:lang="en-US">Vaccination is one of the methods to control and prevent the spread of infectious diseases. SIR model (susceptible, infected, recovered) without and with vaccination were developed. The behavior of the solutions of the two models is analyzed through stability analysis around the equilibrium points. The stability is also associated with a threshold number indicating the population is free or infected. Analytical results are confirmed with numerical results that are presented on the graphic solution and phase portrait. The results of numerical simulations conclude that vaccination is more effective for inhibiting the transmission of the disease than without vaccination</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2020-06-01</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/1592</dc:identifier>
	<dc:identifier>10.30598/barekengvol14iss2pp217-226</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 14 No 2 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan; 217-226</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol14iss2year2020</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/1592/2116</dc:relation>
</oai_dc:dc>