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NUMERICAL SOLUTION OF THE SEIR MODEL USING THE FOURTH-ORDER RUNGE-KUTTA METHOD TO PREDICT THE SPREAD OF HEPATITIS B DISEASE IN AMBON CITY

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 18 No. 3 (2024) · pp. 2047–2056

DOI
10.30598/barekengvol18iss3pp2047-2056
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 dangerous type of hepatitis and has a high risk of death. This research aims to predict the spread of Hepatitis B in Ambon using the fourth-order Runge-Kutta method. The mathematical model for the spread of Hepatitis B takes the form of a system of differential equations that includes the variables Susceptible (S) namely the subpopulation that is susceptible to infection with the hepatitis B virus, Exposed (E), namely the subpopulation that is exposed to the hepatitis B virus when it comes into contact with the Infected (I) subpopulation, I, namely the subpopulation infected with hepatitis B and Recovered (R), namely the recovered subpopulation. The values ​​,,,,,,, and are the parameter values ​​used to be solved numerically using the fourth order Runge Kutta method which was carried out in 20 iterations with step size h=1 using data from the Maluku Provincial Health Service and the Central Bureau of Statistics from 2013 to 2022. Hepatitis B is classified as a type of hepatitis disease that is dangerous and has a high risk of death. This study aimed to construct a model of the spread of Hepatitis B disease in Ambon City and solve the model using the fourth-order Runge-Kutta method. In the research results, it was obtained that subpopulation decreased significantly in the 20th year with a total of 299,239 people, for subpopulation increased in 18th year with a total of 4,309 people, and decreased in 20th year with a total of 4,298 people, for subpopulation subpopulation increased until 20th year with a total of 254 people, and for subpopulation subpopulation increased significantly in 20th year with a total of 10,776 people.

Collaboration network of the authors

36 authors · 95 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
Show as table
Co-authorOrganisationJoint articles
Venn Yan Ishak IlwaruAffiliation unknown4
Mozart W. TalakuaAffiliation unknown2
Zeth Arthur LeleuryAffiliation unknown2
Vynska Amalia PermadiUniversitas Pembangunan Nasional Veteran Yogyakarta2
Maria Engeline SahusilawaneAffiliation unknown2
Lazarus Kalvein BeayAffiliation unknown2
Mayowa Micheal OjoAffiliation unknown2
RUDY W. MatakupanAffiliation unknown1
Henry J. WattimanelaAffiliation unknown1
Venn Y. I. IlwaruAffiliation unknown1
Zeth A. LeleuryAffiliation unknown1
Tesa SumahAffiliation unknown1
H. AbrahamsAffiliation unknown1
Dorteus L. RahakbauwAffiliation unknown1
Rethalina WaasAffiliation unknown1
Henry W.M. PattyAffiliation unknown1
Sasmita HayotoAffiliation unknown1
Ronald John DjamiAffiliation unknown1
Elvinus R. PersulessyAffiliation unknown1
Jemsry E. LakotanyAffiliation unknown1
Jesica TentuaAffiliation unknown1
Charlitta FhilyaAffiliation unknown1
Berny Pebo TomasouwAffiliation unknown1
Fredrylo Alberth Noel Joddy ApituleyAffiliation unknown1
Marlon S. Noya van DelsenAffiliation unknown1
Yunita Puspita SariAffiliation unknown1
Nurhidayah NurhidayahUniversitas Halu Oleo1
Nona Tjie SapuletteAffiliation unknown1
Monalissa E RijolyAffiliation unknown1
Sylvert Prian TahaleaAffiliation unknown1
Swine Enggelina LarubunAffiliation unknown1
Maria Marlein WarongAffiliation 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">NUMERICAL SOLUTION OF THE SEIR MODEL USING THE FOURTH-ORDER RUNGE-KUTTA METHOD TO PREDICT THE SPREAD OF HEPATITIS B DISEASE IN AMBON CITY</dc:title>
	<dc:creator>Papalia, Anita</dc:creator>
	<dc:creator>Lesnussa, Yopi Andry</dc:creator>
	<dc:creator>Rijoly, Monalisa E.</dc:creator>
	<dc:creator>Peter, Olumuyiwa James</dc:creator>
	<dc:description xml:lang="en-US">Hepatitis B is a dangerous type of hepatitis and has a high risk of death. This research aims to predict the spread of Hepatitis B in Ambon using the fourth-order Runge-Kutta method. The mathematical model for the spread of Hepatitis B takes the form of a system of differential equations that includes the variables Susceptible (S) namely the subpopulation that is susceptible to infection with the hepatitis B virus, Exposed (E), namely the subpopulation that is exposed to the hepatitis B virus when it comes into contact with the Infected (I) subpopulation, I, namely the subpopulation infected with hepatitis B and Recovered (R), namely the recovered subpopulation. The values ​​  , , , , , , , and &amp;nbsp;&amp;nbsp;are the parameter values ​​used to be solved numerically using the fourth order Runge Kutta method which was carried out in 20 iterations with step size h=1 using data from the Maluku Provincial Health Service and the Central Bureau of Statistics from 2013 to 2022. Hepatitis B is classified as a type of hepatitis disease that is dangerous and has a high risk of death. This study aimed to construct a model of the spread of Hepatitis B disease in Ambon City and solve the model using the fourth-order Runge-Kutta method. In the research results, it was obtained that subpopulation  &amp;nbsp;decreased significantly in the 20th year with a total of 299,239 people, for subpopulation  &amp;nbsp;increased in 18th year with a total of 4,309 people, and decreased in 20th year with a total of 4,298 people, for subpopulation  &amp;nbsp;subpopulation increased until 20th year with a total of 254 people, and for subpopulation  &amp;nbsp;subpopulation increased significantly in 20th year with a total of 10,776 people.</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/13481</dc:identifier>
	<dc:identifier>10.30598/barekengvol18iss3pp2047-2056</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; 2047-2056</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/13481/8553</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2024 Anita Papalia, Yopi Andry Lesnussa, Monalisa E. Rijoly, Olumuyiwa James Peter</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>