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STABILITY ANALYSIS OF A MATHEMATICAL MODEL OF RABIES SPREAD WITH VACCINATION IN HUMAN AND DOG POPULATIONS, INCLUDING AWARE AND UNAWARE EXPOSED SUBPOPULATIONS

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 19 No. 2 (2025) · pp. 861–878

DOI
10.30598/barekengvol19iss2pp861-878
ISSN
2615-3017, 1978-7227
Published
2025-04-01
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

Rabies is a zoonotic disease that causes progressive and fatal inflammation of the brain and spinal cord, which can be prevented by vaccination. This study aims to analyze the stability of a mathematical model of rabies disease spread with vaccination in human and dog populations in Maluku Province. The model uses a system of ordinary differential equations that separates the human population into six subpopulations (6 variables) and the dog population into three subpopulations (3 variables). The new variables are unaware subpopulations that we divide from aware subpopulations. The results showed that disease-free and endemic equilibrium points could be achieved, and the stability of these equilibrium points was analyzed using basic reproduction numbers Both disease-free and endemic equilibrium points are locally asymptotically stable. The Numerical simulations were also conducted to determine the characteristics of each subpopulation. This study was to provide better insight into controlling the spread of rabies in Maluku Province and it can be used as a reference in developing mathematical models for other infectious diseases.

Collaboration network of the authors

40 authors · 95 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.

  • Universitas Pembangunan Nasional Veteran Yogyakarta
  • Institut Teknologi Sepuluh Nopember
  • Universitas Halu Oleo
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Mozart W. TalakuaAffiliation unknown3
Mozart Winston TalakuaAffiliation unknown2
Zeth Arthur LeleuryAffiliation unknown2
Dorteus L. RahakbauwAffiliation unknown2
Jesica TentuaAffiliation unknown2
Charlitta FhilyaAffiliation unknown2
Berny Pebo TomasouwAffiliation unknown2
Tohari AhmadInstitut Teknologi Sepuluh Nopember1
Bagus Jati SantosoInstitut Teknologi Sepuluh Nopember1
Rifki Indra PerwiraUniversitas Pembangunan Nasional Veteran Yogyakarta1
Dian Indri PurnamasariUniversitas Pembangunan Nasional Veteran Yogyakarta1
Riza Prapascatama AgusdinUniversitas Pembangunan Nasional Veteran Yogyakarta1
Venn Y. I. IlwaruAffiliation unknown1
Zeth A. LeleuryAffiliation unknown1
Tesa SumahAffiliation unknown1
H. AbrahamsAffiliation unknown1
Rethalina WaasAffiliation unknown1
Jeky TetimelayAffiliation unknown1
Albertina RatuanakAffiliation unknown1
Henry W.M. PattyAffiliation unknown1
Sasmita HayotoAffiliation unknown1
Ronald John DjamiAffiliation unknown1
Elvinus R. PersulessyAffiliation unknown1
Jemsry E. LakotanyAffiliation unknown1
Royke Yohanes WarellaAffiliation unknown1
Henry Junus WattimanelaAffiliation unknown1
Berny P. TomasouwAffiliation unknown1
Syella Z LimbaAffiliation 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

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">STABILITY ANALYSIS OF A MATHEMATICAL MODEL OF RABIES SPREAD WITH VACCINATION IN HUMAN AND DOG POPULATIONS, INCLUDING AWARE AND UNAWARE EXPOSED SUBPOPULATIONS</dc:title>
	<dc:creator>Sahusilawane, Maria Engeline</dc:creator>
	<dc:creator>Ilwaru, Venn Yan Ishak</dc:creator>
	<dc:creator>Lesnussa, Yopi Andry</dc:creator>
	<dc:creator>Beay, Lazarus Kalvein</dc:creator>
	<dc:creator>Ojo, Mayowa Micheal</dc:creator>
	<dc:creator>Permadi, Vynska Amalia</dc:creator>
	<dc:creator>Peter, Olumuyiwa James</dc:creator>
	<dc:description xml:lang="en-US">Rabies is a zoonotic disease that causes progressive and fatal inflammation of the brain and spinal cord, which can be prevented by vaccination. This study aims to analyze the stability of a mathematical model of rabies disease spread with vaccination in human and dog populations in Maluku Province. The model uses a system of ordinary differential equations that separates the human population into six subpopulations (6 variables) and the dog population into three subpopulations (3 variables). The new variables are unaware subpopulations that we divide from aware subpopulations. The results showed that disease-free and endemic equilibrium points could be achieved, and the stability of these equilibrium points was analyzed using basic reproduction numbers  &amp;nbsp;Both disease-free and endemic equilibrium points are locally asymptotically stable. The Numerical simulations were also conducted to determine the characteristics of each subpopulation. This study was to provide better insight into controlling the spread of rabies in Maluku Province and it can be used as a reference in developing mathematical models for other infectious diseases.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2025-04-01</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/14747</dc:identifier>
	<dc:identifier>10.30598/barekengvol19iss2pp861-878</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 19 No 2 (2025): BAREKENG: Journal of Mathematics and Its Application; 861-878</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol19iss2year2025</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/14747/9891</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2025 Maria Engeline Sahusilawane, Venn Yan Ishak Ilwaru, Yopi Andry Lesnussa, Lazarus Kalvein Beay, Mayowa Micheal Ojo, Vynska Amalia Permadi, Olumuyiwa James Peter</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>