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OPTIMAL CONTROL OF INFLUENZA A DYNAMICS IN THE EMERGENCE OF A TWO STRAIN

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 16 No. 3 (2022) · pp. 835–844

DOI
10.30598/barekengvol16iss3pp835-844
ISSN
2615-3017, 1978-7227
Published
2022-09-26
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

This paper examines the influenza spread model by considering subpopulation, vaccination, resistance to analgesic/antipyretic drugs + nasal decongestants. Based on the studied model are determined, non-endemic, endemic stability points and the basic reproduction number. In the model studied, control is given in an effort to prevent contact of individuals infected with influenza and susceptible (u1), and control treatment for infected individuals in an effort to accelerate the recovery of infected individuals (u2). In the numerical simulation, using the control u1 the number of infected individuals subpopulation decreased compared to that without control. The number of individual recovered subpopulations using the u2 control increased more than that without the control.

Collaboration network of the authors

24 authors · 41 co-authorship links

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  • Universitas Respati Yogyakarta
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Hotlan SamosirAffiliation unknown3
Tiurlina SiregarAffiliation unknown2
VIRMAN VIRMANAffiliation unknown2
Abraham AbrahamAffiliation unknown2
ST AMINAH KADANGAffiliation unknown1
PARLUJI PARLUJIAffiliation unknown1
Sri LestariUniversitas Respati Yogyakarta1
HUMISAR BTPJ PASARIBUAffiliation unknown1
Sakka IrawanAffiliation unknown1
Yohana FransiskaAffiliation unknown1
Yakobus MarrungAffiliation unknown1
Albertina Nasri LoboAffiliation unknown1
Nindia Ayu AsdaputriAffiliation unknown1
Happy LumbantobingAffiliation unknown1
bajongga silabanAffiliation unknown1
Maslan Lumban GaolAffiliation unknown1
Fitriani TandililingAffiliation unknown1
RONALDO KHOAffiliation unknown1
Alfonsus Simon DowengAffiliation unknown1
Joko HariantoAffiliation unknown1
Mira Aprilia MarcusAffiliation unknown1
Abraham M.Si. AbrahamAffiliation unknown1
Restika SamosirAffiliation 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">OPTIMAL CONTROL OF INFLUENZA A DYNAMICS  IN THE EMERGENCE OF A TWO STRAIN</dc:title>
	<dc:creator>Nainggolan, Jonner</dc:creator>
	<dc:description xml:lang="en-US">This paper examines the influenza spread model by considering subpopulation, vaccination, resistance to analgesic/antipyretic drugs + nasal decongestants. Based on the studied model are determined, non-endemic, endemic stability points and the basic reproduction number. In the model studied, control is given in an effort to prevent contact of individuals infected with influenza and susceptible (u1), and control treatment for infected individuals in an effort to accelerate the recovery of infected individuals (u2). In the numerical simulation, using the control u1 the number of infected individuals subpopulation decreased compared to that without control. The number of individual recovered subpopulations using the u2 control increased more than that without the control.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2022-09-26</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/5697</dc:identifier>
	<dc:identifier>10.30598/barekengvol16iss3pp835-844</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 16 No 3 (2022): BAREKENG: Journal of Mathematics and Its Applications; 835-844</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol16iss3year2022</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/5697/4638</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2022 Jonner - Nainggolan</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>