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MODEL EPIDEMI SIRS STOKASTIK DENGANSTUDI KASUS INFLUENZA

Unnes Journal of Mathematics · Vol. 5 No. 1 (2017) · pp. 20–30

DOI
10.15294/ujm.v5i1.13101
ISSN
2460-5859, 2252-6943
Published
2017-02-27
Publisher
Universitas Negeri Semarang
Language
eng

Abstract

Epidemic SIRS model is an epidemic model which illustrate the spread of disease from suscept to infected, and then become a recovered and become suscept again depend of the immunity. In this article, we dicussed epidemic stochastics SIRS model with embedding epidemic deterministic model, analysis of the model and the behavior of this disease in the future. To obtain the result of basic reproduction ration, Crump-Mode-Jagers process with embedding BGW branching process in some process. From the analysis and the simulation of the model were obtained, if 𝑅0 < 1 then the epidemic is extinct and if 𝑅0 ≥ 1 the epidemic is occurred. To illustrate the model simulation were carried out using Maple software. The model simulation give the same result with the analysis.

Collaboration network of the authors

40 authors · 123 co-authorship links · 2 across different organisations · showing the 40 most connected

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

  • State University of Semarang
  • Tun Hussein Onn University of Malaysia
  • Institut Teknologi Sepuluh Nopember
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Arief AgoestantoAffiliation unknown8
Scolastika MarianiState University of Semarang7
Sugiman SugimanAffiliation unknown6
Mashuri MashuriAffiliation unknown6
Stevanus Budi WaluyaAffiliation unknown4
Rochmad RochmadAffiliation unknown4
Moch ChotimAffiliation unknown3
Muhammad Zuhair ZahidAffiliation unknown3
Masrukan MasrukanState University of Semarang2
Mulyono MulyonoAffiliation unknown2
Riza ArifudinState University of Semarang2
Nurkaromah DwidayatiAffiliation unknown2
Yuninda Diah PratiwiAffiliation unknown2
Endang Retno WinartiAffiliation unknown2
Dwijanto DwijantoAffiliation unknown2
Sugeng NugrohoAffiliation unknown2
Amin SuyitnoAffiliation unknown2
Ratna Nur Mustika SanusiAffiliation unknown1
Nur Achmey Selgi HarwantiAffiliation unknown1
Alfian Adi PratamaAffiliation unknown1
Endang SugihartiState University of Semarang1
Fajar Eska PradhanaAffiliation unknown1
Raras Setya AstutiAffiliation unknown1
Allief NashrullahAffiliation unknown1
Supriyono SupriyonoAffiliation unknown1
Ardian Dwi AnggoroAffiliation unknown1
Supriyono SupriyonoAffiliation unknown1
Retno Dwi AstutiAffiliation unknown1
Feri FarkhanAffiliation unknown1
Much Aziz MuslimTun Hussein Onn University of Malaysia1
Dedy PurnawanAffiliation unknown1
Joko PrasetyoInstitut Teknologi Sepuluh Nopember1
Wuryanto WuryantoAffiliation unknown1
Siti KholisohAffiliation unknown1
Dwi Prisita AnggriningrumAffiliation unknown1
Zaenal AbidinAffiliation unknown1
Noni NofiyahAffiliation 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://journal.unnes.ac.id/sju/index.php/ujm/oai, first harvested 6 Nov 2026, last seen 6 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">MODEL EPIDEMI SIRS STOKASTIK DENGANSTUDI KASUS INFLUENZA</dc:title>
	<dc:creator>Nurlazuardini, Novia Nilam</dc:creator>
	<dc:creator>Kharis, Muhammad</dc:creator>
	<dc:creator>Hendikawati, Putriaji</dc:creator>
	<dc:description xml:lang="en-US">Epidemic SIRS model is an epidemic model which illustrate the spread of disease from suscept to infected, and then become a recovered and become suscept again depend of the immunity. In this article, we dicussed epidemic stochastics SIRS model with embedding epidemic deterministic model, analysis of the model and the behavior of this disease in the future. To obtain the result of basic reproduction ration, Crump-Mode-Jagers process with embedding BGW branching process in some process. From the analysis and the simulation of the model were obtained , if 𝑅0 &amp;lt; 1 then the epidemic is extinct and if 𝑅0 ≥ 1 the epidemic is occurred. To illustrate the model simulation were carried out using Maple software. The model simulation give the same result with the analysis.</dc:description>
	<dc:publisher xml:lang="en-US">Universitas Negeri Semarang</dc:publisher>
	<dc:date>2017-02-27</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://journal.unnes.ac.id/sju/ujm/article/view/13101</dc:identifier>
	<dc:identifier>10.15294/ujm.v5i1.13101</dc:identifier>
	<dc:source xml:lang="en-US">Unnes Journal of Mathematics; Vol 5 No 1 (2016); 20-30</dc:source>
	<dc:source>2460-5859</dc:source>
	<dc:source>2252-6943</dc:source>
	<dc:source>10.15294/ujm.v5i1</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journal.unnes.ac.id/sju/ujm/article/view/13101/7182</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2017 Unnes Journal of Mathematics</dc:rights>
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