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DYNAMIC ANALYSIS OF SEITR MATHEMATICAL MODEL ON THE SPREAD OF HEPATITIS B DISEASE IN AMBON CITY

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 18 No. 3 (2024) · pp. 1989–2000

DOI
10.30598/barekengvol18iss3pp1989-2000
ISSN
2615-3017, 1978-7227
Published
2024-07-31
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

Hepatitis B is a disease caused by infection with the HBV (Hepatitis B Virus) virus that commonly infects the liver and can develop into liver cancer. The disease can be transmitted through blood, semen, breast milk, saliva, vaginal fluids, and sperm. One effective way to prevent Hepatitis B disease is by vaccination. This study will construct a mathematical model, such as the SEITR model, to study the spread of Hepatitis B disease in Ambon City. The SEITR epidemic model is a disease spread model that divides the population into five subpopulation classes, namely the susceptible individual subpopulation class, the exposed individual subpopulation class, the infected individual subpopulation class, the treatment individual subpopulation class, and the recovered individual subpopulation class. Based on the dynamic system analysis conducted, two equilibrium points were obtained, namely the disease-free equilibrium point and the endemic equilibrium point. In addition, based on the data and simulation results, it can be concluded that the spread of Hepatitis B in Ambon City depends on the transmission rate from infected individuals to susceptible individuals

Collaboration network of the authors

37 authors · 93 co-authorship links

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  • Universitas Halu Oleo
  • Universitas Pembangunan Nasional Veteran Yogyakarta
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
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Co-authorOrganisationJoint articles
Venn Yan Ishak IlwaruAffiliation unknown3
Berny Pebo TomasouwAffiliation unknown3
Mozart W. TalakuaAffiliation unknown2
Olumuyiwa James PeterAffiliation unknown2
Dorteus L. RahakbauwAffiliation unknown2
Nurhidayah NurhidayahUniversitas Halu Oleo2
Venn Y. I. IlwaruAffiliation unknown1
Zeth A. LeleuryAffiliation unknown1
Tesa SumahAffiliation unknown1
H. AbrahamsAffiliation unknown1
Rethalina WaasAffiliation unknown1
Henry W.M. PattyAffiliation unknown1
Sasmita HayotoAffiliation unknown1
Ronald John DjamiAffiliation unknown1
Elvinus R. PersulessyAffiliation unknown1
Jemsry E. LakotanyAffiliation unknown1
Y. SambonoAffiliation unknown1
Jesica TentuaAffiliation unknown1
Charlitta FhilyaAffiliation unknown1
Elvis SalouwAffiliation unknown1
Astrid Wahyu Adventri WibowoAffiliation unknown1
Fredrylo Alberth Noel Joddy ApituleyAffiliation unknown1
Marlon S. Noya van DelsenAffiliation unknown1
Yunita Puspita SariAffiliation unknown1
Nona Tjie SapuletteAffiliation unknown1
Monalissa E RijolyAffiliation unknown1
Monalisa E. RijolyAffiliation unknown1
Anita PapaliaAffiliation unknown1
Vynska Amalia PermadiUniversitas Pembangunan Nasional Veteran Yogyakarta1
Maria Engeline SahusilawaneAffiliation unknown1
Lazarus Kalvein BeayAffiliation unknown1
Mayowa Micheal OjoAffiliation 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) 
<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-US">DYNAMIC ANALYSIS OF SEITR MATHEMATICAL MODEL ON THE SPREAD OF HEPATITIS B DISEASE IN AMBON CITY</dc:title>
	<dc:creator>Larubun, Swine Enggelina</dc:creator>
	<dc:creator>Leleury, Zeth Arthur</dc:creator>
	<dc:creator>Lesnussa, Yopi Andry</dc:creator>
	<dc:creator>Tahalea, Sylvert Prian</dc:creator>
	<dc:creator>Warong, Maria Marlein</dc:creator>
	<dc:description xml:lang="en-US">Hepatitis B is a disease caused by infection with the HBV (Hepatitis B Virus) virus that commonly infects the liver and can develop into liver cancer. The disease can be transmitted through blood, semen, breast milk, saliva, vaginal fluids, and sperm. One effective way to prevent Hepatitis B disease is by vaccination. This study will construct a mathematical model, such as the SEITR model, to study the spread of Hepatitis B disease in Ambon City. The SEITR epidemic model is a disease spread model that divides the population into five subpopulation classes, namely the susceptible individual subpopulation class, the exposed individual subpopulation class, the infected individual subpopulation class, the treatment individual subpopulation class, and the recovered individual subpopulation class. Based on the dynamic system analysis conducted, two equilibrium points were obtained, namely the disease-free equilibrium point and the endemic equilibrium point. In addition, based on the data and simulation results, it can be concluded that the spread of Hepatitis B in Ambon City depends on the transmission rate from infected individuals to susceptible individuals</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2024-07-31</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/12738</dc:identifier>
	<dc:identifier>10.30598/barekengvol18iss3pp1989-2000</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 18 No 3 (2024): BAREKENG: Journal of Mathematics and Its Application; 1989-2000</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol18iss3year2024</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/12738/8548</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2024 Swine Enggelina Larubun, Zeth Arthur Leleury, Yopi Andry Lesnussa, Sylvert Prian Tahalea, Maria Marlein Warong</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>