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MATHEMATICS MODEL SIRS-SI OF TRANSMISSION DENGUE VIRUS CONSIDERING FUMIGATION, VACCINATION AND TREATMEN IN CASE OF TANGERANG CITY

Indonesian Journal of Applied Mathematics · Vol. 4 No. 2 (2025)

DOI
10.35472/indojam.v4i2.1913
ISSN
2774-2016, 2774-2067
Published
2025-01-31
Publisher
Institut Teknologi Sumatra
License
creativecommons.org/licenses/by-nc/4.0

Abstract

Abstract: In this paper, we construct a mathematical model SIRS-SI transmission dengue fever considering fumigation, vaccination and treatment in case Tangerang City. Background why this research has to do because in Tangerang City the case of dengue fever is pretty lot. Method in this research is using compartment model and create differential equation system. We also do some analyze the model like determining free disease equilibrium point and endemic equilibrium point. We also determining basic reproduction number and making analyze stability of the model around equilibrium points. We also do simulation of the model and the result; model is local asymptotic stable in area free disease equilibrium point and local asymptotic stable in area endemic equilibrium point. Because R0 1 for endemic equilibrium point then situation is in endemic dengue fever. Keywords: SIRS, Fumigation, Vaccination, Treatment, Dengue

Collaboration network of the authors

32 authors · 74 co-authorship links

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Co-authorOrganisationJoint articles
Yohana Alexandra Goldine SihombingAffiliation unknown1
Akmal GhudzamirAffiliation unknown1
Nadhira ImaniyarAffiliation unknown1
Inayatu Dzil IzzatiAffiliation unknown1
Dwi Aryanti RamadhaniAffiliation unknown1
Khairiah SyahabuddinAffiliation unknown1
Sa'i Sa'iAffiliation unknown1
Faradhila FaradhilaAffiliation unknown1
Tijan Al-DararyAffiliation unknown1
Salami MahmudAffiliation unknown1
Asmawi AsmawiAffiliation unknown1
Abdurrahman DahlanAffiliation unknown1
Bagus Haziratul QodsiyahAffiliation unknown1
Djawahir HejazzieyAffiliation unknown1
Mikhania Christiningtyas EryaniAffiliation unknown1
Siti Nur AzizahAffiliation unknown1
Nasir UsmanAffiliation unknown1
Murniati ARAffiliation unknown1
Nur Rohim YunusAffiliation unknown1
abd rahman dahlanAffiliation unknown1
Fathinuddin FathinuddinAffiliation unknown1
Aliyeva Patimat ShapiulayevnaAffiliation unknown1
Yunasril AliAffiliation unknown1
Ruetaitip ChansrakaeoAffiliation unknown1
Retno Sari DewiAffiliation unknown1
Asmah AsmahAffiliation unknown1
Gregorius Nugroho SusantoAffiliation unknown1
Agus SetyawanAffiliation unknown1
Munti SaridaAffiliation unknown1
Yudha Trinoegraha AdiputraAffiliation 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.

This record comes from Crossref (what the publisher deposited), because the journal's own OAI-PMH endpoint could not be harvested.

Metadata source: Crossref API (cadangan, berdasarkan ISSN) https://api.crossref.org/journals/2774-2016/works, first harvested 5 Nov 2026, last seen 8 Nov 2026.
Metadata as oai_dc, converted from Crossref 
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/"><dc:title>MATHEMATICS MODEL SIRS-SI OF TRANSMISSION DENGUE VIRUS CONSIDERING FUMIGATION, VACCINATION AND TREATMEN IN CASE OF TANGERANG CITY</dc:title><dc:creator>Utomo, Rukmono Budi</dc:creator><dc:creator>Azizah, Azizah</dc:creator><dc:description>&lt;jats:p&gt;Abstract: In this paper, we construct a mathematical model SIRS-SI transmission dengue fever considering fumigation, vaccination and treatment in case Tangerang City. Background why this research has to do because in Tangerang City the case of dengue fever is pretty lot. Method in this research is using compartment model and create differential equation system. We also do some analyze the model like determining free disease equilibrium point and endemic equilibrium point. We also determining basic reproduction number and making analyze stability of the model around equilibrium points. We also do simulation of the model and the result; model is local asymptotic stable in area free disease equilibrium point and local asymptotic stable in area endemic equilibrium point. Because R0 &amp;lt;1 for free disease equilibrium point, then there are no endemic disease, but because R0 &amp;gt; 1 for endemic equilibrium point then situation is in endemic dengue fever.&#xD;
Keywords: SIRS, Fumigation, Vaccination, Treatment, Dengue&#xD;
 &lt;/jats:p&gt;</dc:description><dc:publisher>Institut Teknologi Sumatra</dc:publisher><dc:date>2025-01-31</dc:date><dc:type>info:eu-repo/semantics/article</dc:type><dc:format>application/pdf</dc:format><dc:identifier>https://doi.org/10.35472/indojam.v4i2.1913</dc:identifier><dc:identifier>10.35472/indojam.v4i2.1913</dc:identifier><dc:source>Indonesian Journal of Applied Mathematics; Vol 4 No 2 (2025); 47</dc:source><dc:source>2774-2016</dc:source><dc:source>2774-2067</dc:source><dc:relation>https://journal.itera.ac.id/index.php/indojam/article/download/1913/638</dc:relation><dc:rights>http://creativecommons.org/licenses/by-nc/4.0</dc:rights></oai_dc:dc>