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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
Terbit
2025-01-31
Penerbit
Institut Teknologi Sumatra
Lisensi
creativecommons.org/licenses/by-nc/4.0

Abstrak

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

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13 penulis · 39 tautan kepenulisan bersama · 26 lintas organisasi

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  • Lampung University
  • Universitas Buana Perjuangan Karawang
  • Indonesia University of Education
  • Universitas Muhammadiyah Tangerang
  • Universitas Muhammadiyah Magelang
  • Universiti Malaysia Pahang Al-Sultan Abdullah
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Rekan penulisOrganisasiArtikel bersama
Gregorius Nugroho SusantoLampung University1
Agus SetyawanLampung University1
Munti SaridaLampung University1
Yudha Trinoegraha AdiputraLampung University1
Muji SetiyoUniversitas Muhammadiyah Magelang1
Sukarman SukarmanUniversitas Buana Perjuangan Karawang1
Khoirudin KhoirudinUniversitas Buana Perjuangan Karawang1
Renata Lintang AzizahIndonesia University of Education1
Amir AmirUniversitas Buana Perjuangan Karawang1
Nazar FahrizinUniversitas Buana Perjuangan Karawang1
W.H. AzmiUniversiti Malaysia Pahang Al-Sultan Abdullah1

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Sumber metadata: Crossref API (cadangan, berdasarkan ISSN) https://api.crossref.org/journals/2774-2016/works, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata sebagai oai_dc, dikonversi dari 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>