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MATHEMATICAL MODEL OF DENGUE CONTROL WITH CONTROL OF MOSQUITO LARVAE AND MOSQUITO AFFECTED BY CLIMATE CHANGE

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 15 No. 3 (2021) · pp. 417–426

DOI
10.30598/barekengvol15iss3pp417-426
ISSN
2615-3017, 1978-7227
Published
2021-09-01
Publisher
PATTIMURA UNIVERSITY
Language
eng

Abstract

Consider a SIR model for the spread of dengue hemorrhagic fever involving three populations, mosquito eggs, mosquitoes, and humans. The parameters of the SIR model were estimated using rainfall data and air temperature for the cities of Pekanbaru and Solok. The main aim of this paper is to determine the effect of mosquito larvae and adult mosquito control on the spread of the dengue virus. Numerical solutions were also presented by using the Runge-Kutta method of order 4. Based on the results, the SIR model was obtained by involving the control parameters of mosquito larvae and adult mosquitoes. Besides, the mosquito population is affected by changes in temperature, rainfall, and fog. Numerical simulations illustrate that the number of infected mosquitoes and infected humans is influenced by the parameters of the percentage of mortality of mosquito larvae and adult mosquitoes.

Collaboration network of the authors

17 authors · 33 co-authorship links

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  • State University of Malang
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
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Co-authorOrganisationJoint articles
Corry Corazon MarzukiAffiliation unknown2
Muhafzan MuhafzanAffiliation unknown2
Neng SantiAffiliation unknown2
Riry SriningsihAffiliation unknown2
Mutia NazviraAffiliation unknown2
Elfira SafitriAffiliation unknown2
Eko SujarwantoState University of Malang1
Arif HidayatState University of Malang1
Rinda KiranaAffiliation unknown1
Fitri AryaniAffiliation unknown1
Dian Ayu PuspitaAffiliation unknown1
Aminah UtamiAffiliation unknown1
Mona ElviyentiAffiliation unknown1
Irma SuryaniAffiliation 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">MATHEMATICAL MODEL OF DENGUE CONTROL WITH CONTROL OF MOSQUITO LARVAE AND MOSQUITO AFFECTED BY CLIMATE CHANGE</dc:title>
	<dc:creator>Wartono, Wartono</dc:creator>
	<dc:creator>Soleh, Mohammad</dc:creator>
	<dc:creator>Muda, Yuslenita</dc:creator>
	<dc:description xml:lang="en-US">Consider a SIR model for the spread of dengue hemorrhagic fever involving three populations, mosquito eggs, mosquitoes, and humans. The parameters of the SIR model were estimated using rainfall data and air temperature for the cities of Pekanbaru and Solok. The main aim of this paper is to determine the effect of mosquito larvae and adult mosquito control on the spread of the dengue virus. Numerical solutions were also presented by using the Runge-Kutta method of order 4. Based on the results, the SIR model was obtained by involving the control parameters of mosquito larvae and adult mosquitoes. Besides, the mosquito population is affected by changes in temperature, rainfall, and fog. Numerical simulations illustrate that the number of infected mosquitoes and infected humans is influenced by the parameters of the percentage of mortality of mosquito larvae and adult mosquitoes.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2021-09-01</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/3247</dc:identifier>
	<dc:identifier>10.30598/barekengvol15iss3pp417-426</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 15 No 3 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan; 417-426</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol15iss3year2021</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/3247/3200</dc:relation>
</oai_dc:dc>