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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

40 authors · 102 co-authorship links · 11 across different organisations · showing the 40 most connected

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  • Universitas Pattimura
  • Universitas Pembangunan Nasional Veteran Yogyakarta
  • National Research University Higher School of Economics
  • University of Medical Sciences, Ondo
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Venn Yan Ishak IlwaruUniversitas Pattimura8
Mozart Winston TalakuaUniversitas Pattimura7
Berny Pebo TomasouwUniversitas Pattimura4
Eunike M. SahetapyUniversitas Pattimura3
Monalisa E. RijolyUniversitas Pattimura3
Lazarus Kalvein BeayUniversitas Pattimura3
Henry Junus WattimanelaUniversitas Pattimura2
Olumuyiwa James PeterUniversity of Medical Sciences, Ondo2
Elvinus R. PersulessyUniversitas Pattimura2
Tesa SumahUniversitas Pattimura2
Dorteus L. RahakbauwUniversitas Pattimura2
Thomas PenturyUniversitas Pattimura1
Freya N. WattimenaUniversitas Pattimura1
Gresyea L. MarcusUniversitas Pattimura1
Ade M. TelussaUniversitas Pattimura1
Trifena L. WasilaineUniversitas Pattimura1
F. S. TututparyUniversitas Pattimura1
Antonia E. WokanubunUniversitas Pattimura1
Sitri YuniUniversitas Pattimura1
Salmon Notje AuleleUniversitas Pattimura1
Safriyani TomiaUniversitas Pattimura1
A. W. TalutaUniversitas Pattimura1
Ferry Kondo LembangUniversitas Pattimura1
L. TehuayoUniversitas Pattimura1
H. AbrahamsUniversitas Pattimura1
Rethalina WaasUniversitas Pattimura1
Henry W. M. PattyUniversitas Pattimura1
Sasmita HayotoUniversitas Pattimura1
Ronald John DjamiUniversitas Pattimura1
Jemsry E. LakotanyUniversitas Pattimura1
Y. SambonoUniversitas Pattimura1
Jesica TentuaUniversitas Pattimura1
Charlitta FhilyaUniversitas Pattimura1
Elvis SalouwAffiliation unknown1
Astrid Wahyu Adventri WibowoUniversitas Pembangunan Nasional Veteran Yogyakarta1

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 8 Nov 2026.
Original metadata (oai_dc) 
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	<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>