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Journal SINTA 3

MODEL MATEMATIKA PENYEBARAN PENYAKIT PULMONARY TUBERCULOSIS DENGAN PENGGUNAAN MASKER MEDIS

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 14 No. 3 (2020) · pp. 459–472

DOI
10.30598/barekengvol14iss3pp459-472
ISSN
2615-3017, 1978-7227
Published
2020-10-12
Publisher
PATTIMURA UNIVERSITY
Language
eng

Abstract

This research developed a model of tuberculosis disease spread using the SIR model with addition of the medical mask usage factor. First, we create a diagram of the tuberculosis disease spread compartment through contact between individuals with medical mask usage. After that, we construct a system of nonlinear differential equations based on the compartment diagram and then find the disease-free equilibrium point, the endemic equilibrium point, and the initial reproduction number. We use linearization to analyze of the disease-free equilibrium point. The disease-free equilibrium point obtained is asymptotically stable at. The simulation result shows that the value of. It means that tuberculosis disease in the future will disappear. But if we reduce the value of medical mask usage and increase the value of tuberculosis disease spread, the value. It means that tuberculosis diseases can become an outbreak.

Collaboration network of the authors

31 authors · 69 co-authorship links · 6 across different organisations

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  • Syarif Hidayatullah State Islamic University Jakarta
  • University of Singaperbangsa Karawang
  • Binus University
  • Diponegoro University
  • Bandung Institute of Technology
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Madona Yunita WijayaSyarif Hidayatullah State Islamic University Jakarta3
Eti HartatiSyarif Hidayatullah State Islamic University Jakarta2
Wahri IrawanSyarif Hidayatullah State Islamic University Jakarta2
Nur InayahAffiliation unknown2
Andrew FiadeAffiliation unknown2
Flori Ratna SariAffiliation unknown2
Maghvirotul AzizahSyarif Hidayatullah State Islamic University Jakarta1
Savira PratiwiSyarif Hidayatullah State Islamic University Jakarta1
Raza Aqil MaulanaSyarif Hidayatullah State Islamic University Jakarta1
Amalia ZahraBinus University1
Suma'inna Suma'innaAffiliation unknown1
Tesa Nur PadilahUniversity of Singaperbangsa Karawang1
Iqbal MaulanaUniversity of Singaperbangsa Karawang1
Yanne IreneSyarif Hidayatullah State Islamic University Jakarta1
Mochammad Rafli AlamsyahSyarif Hidayatullah State Islamic University Jakarta1
Nurcahya Yulian AsharDiponegoro University1
Yoga Amanda PutraSyarif Hidayatullah State Islamic University Jakarta1
Mahmudi MahmudiAffiliation unknown1
Galuh PrayogaAffiliation unknown1
Irma FauziahAffiliation unknown1
Salma Abidah FaizahAffiliation unknown1
Taufik Edy SutantoAffiliation unknown1
Rini MarwatiAffiliation unknown1
Agus Yodi GunawanBandung Institute of Technology1
S. SutawanirAffiliation unknown1
Iskandar FahmiAffiliation unknown1
Anggita SeptianiAffiliation 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 8 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">MODEL MATEMATIKA PENYEBARAN  PENYAKIT PULMONARY TUBERCULOSIS DENGAN  PENGGUNAAN MASKER MEDIS</dc:title>
	<dc:creator>Inayah, Nur</dc:creator>
	<dc:creator>Manaqib, Muhammad</dc:creator>
	<dc:creator>Fitriyati, Nina</dc:creator>
	<dc:creator>Yupinto, Ikhwal</dc:creator>
	<dc:description xml:lang="en-US">This research developed a model of tuberculosis disease spread using the SIR model with addition of the medical mask usage factor. First, we create a diagram of the tuberculosis disease spread compartment through contact between individuals with medical mask usage. After that, we construct a system of nonlinear differential equations&amp;nbsp; based on the compartment diagram and then find the disease-free equilibrium point, the endemic equilibrium point, and the initial reproduction number . We use linearization to analyze of the disease-free equilibrium point. The disease-free equilibrium point obtained is asymptotically stable at .&amp;nbsp; The simulation result shows that the value of&amp;nbsp; . It means that tuberculosis disease in the future will disappear. But if we reduce the value of medical mask usage and increase the value of tuberculosis disease spread, the value . It means that tuberculosis diseases can become an outbreak.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2020-10-12</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/2313</dc:identifier>
	<dc:identifier>10.30598/barekengvol14iss3pp459-472</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 14 No 3 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan; 459-472</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol14iss3year2020</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/2313/2219</dc:relation>
</oai_dc:dc>