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MSEICR Fractional Order Mathematical Model of The Spread Hepatitis B

Jurnal Matematika, Statistika dan Komputasi · Vol. 17 No. 2 (2020) · pp. 314–324

DOI
10.20956/jmsk.v17i2.10994
ISSN
2614-8811, 1858-1382
Published
2020-12-23
Publisher
Department of Mathematics, Hasanuddin University
Language
en
License
creativecommons.org/licenses/by/4.0

Abstract

This research aims to develop the MSEICR model by reviewing fractional orders on the spread of Hepatitis B by administering vaccinations and treatment, and analyzing fractional effects by numerical simulations of the MSEICR mathematical model using the method Grunwald Letnikov. Researchers use qualitative methods to achieve the object of research. The steps are to determine the MSEICR model by reviewing the fractional order, looking for endemic equilibrium points for each non-endemic and endemic equilibrium point, determining the equality of characteristics and eigenvalues ​​of the Jacobian matrix. Next, look for values ​​(Basic Reproductive Numbers), analyze stability around non-endemic and endemic equilibrium points and complete numerical simulations. From the simulation provided, it is known that by giving a fractional alpha value of and, the greater the value of the fractional order parameters used, the movement of the solution graphs is getting closer to the equilibrium point. If given and still endemic, whereas if and the value is increased to non-endemic, then the number of hepatitis B sufferers will disappear.

Keywords

Collaboration network of the authors

35 authors · 73 co-authorship links · 14 across different organisations

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

  • Hasanuddin University
  • Universitas Muhammadiyah Bulukumba
  • State University of Makassar
  • Udayana University
  • Institut Teknologi Bacharuddin Jusuf Habibie
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Sulma SulmaUniversitas Muhammadiyah Bulukumba4
Khaeruddin KhaeruddinState University of Makassar3
Jeffry KusumaHasanuddin University2
Syamsul AgusHasanuddin University2
Yusrianto YusriantoHasanuddin University2
Himmatul Ulya FebriyantiHasanuddin University2
Lilis Dwi Sapta AprilyaniHasanuddin University2
Syamsir MuarafAffiliation unknown2
Nita AnggrianiHasanuddin University2
Andi Utari SamsirHasanuddin University2
Mutmainnah SyamsulHasanuddin University2
Rabiatul AdawiyahHasanuddin University2
I NYOMAN WIDANAUdayana University1
Ita FitriaUniversitas Muhammadiyah Bulukumba1
Sulfayanti SulfayantiAffiliation unknown1
Mawardi BahriHasanuddin University1
IIN SUTRISNAHasanuddin University1
Asriadi NasrunHasanuddin University1
A. Muh. Amil SiddikHasanuddin University1
Andi Muhammad AnwarHasanuddin University1
Nur Suci RamadhaniHasanuddin University1
Toaha ToahaHasanuddin University1
Hukmah HukmahHasanuddin University1
Ismi Ra'yan SyarifAffiliation unknown1
Harianto HariantoAffiliation unknown1
Muhammad Rifki NisardiInstitut Teknologi Bacharuddin Jusuf Habibie1
Hukmah HUkmahUniversitas Muhammadiyah Bulukumba1
Dian FirmayasariUniversitas Muhammadiyah Bulukumba1
Sitti SahrimanHasanuddin University1
Anisa KalondengHasanuddin University1
M. Zaky Hisyam GozhiHasanuddin University1
Aidul Fitri MustaminHasanuddin University1

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.unhas.ac.id/index.php/jmsk/oai, first harvested 5 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en">MSEICR Fractional Order Mathematical Model of The Spread Hepatitis B</dc:title>
	<dc:creator xml:lang="en">Suriani, Suriani</dc:creator>
	<dc:creator xml:lang="en">Toaha, Syamsuddin</dc:creator>
	<dc:creator xml:lang="en">Kasbawati, Kasbawati</dc:creator>
	<dc:subject xml:lang="en">Hepatitis B</dc:subject>
	<dc:subject xml:lang="en">Fractional orde MSEICR model</dc:subject>
	<dc:subject xml:lang="en">Stability analysis</dc:subject>
	<dc:description xml:lang="en">This research aims to develop the MSEICR model by reviewing fractional orders on the spread of Hepatitis B by administering vaccinations and treatment, and analyzing fractional effects by numerical simulations of the MSEICR mathematical model using the method Grunwald Letnikov. Researchers use qualitative methods to achieve the object of research. The steps are to determine the MSEICR model by reviewing the fractional order, looking for endemic equilibrium points for each non-endemic and endemic equilibrium point, determining the equality of characteristics and eigenvalues ​​of the Jacobian matrix. Next, look for values  ​​(Basic Reproductive Numbers), analyze stability around non-endemic and endemic equilibrium points and complete numerical simulations. From the simulation provided, it is known that by giving a fractional alpha value of and  , the greater the value of the fractional order parameters used, the movement of the solution graphs is getting closer to the equilibrium point. If given and still endemic, whereas if and  the value  is increased to non-endemic, then the number of hepatitis B sufferers will disappear.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2020-12-23</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
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	<dc:identifier>https://journal.unhas.ac.id/index.php/jmsk/article/view/10994</dc:identifier>
	<dc:identifier>10.20956/jmsk.v17i2.10994</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 17 No. 2 (2021): JANUARY 2021; 314-324</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/10994/6181</dc:relation>
	<dc:relation>10.20956/j.v17i2.10994.g6181</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2020 Author and publisher</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
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