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MODEL MATEMATIKA PENYEBARAN PENYAKIT PULMONARY TUBERCULOSIS DENGAN PENGGUNAAN MASKER MEDIS

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

DOI
10.30598/barekengvol14iss3pp459-472
ISSN
2615-3017, 1978-7227
Terbit
2020-10-12
Penerbit
PATTIMURA UNIVERSITY
Bahasa
eng

Abstrak

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.

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31 penulis · 68 tautan kepenulisan bersama · 13 lintas organisasi

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  • Syarif Hidayatullah State Islamic University Jakarta
  • Bandung Institute of Technology
  • University of Singaperbangsa Karawang
  • Binus University
  • Diponegoro University
  • State University of Semarang
  • Indonesia University of Education
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Rekan penulisOrganisasiArtikel bersama
Madona Yunita WijayaSyarif Hidayatullah State Islamic University Jakarta4
Andrew FiadeSyarif Hidayatullah State Islamic University Jakarta3
Flori R. SariSyarif Hidayatullah State Islamic University Jakarta3
Eti HartatiSyarif Hidayatullah State Islamic University Jakarta2
Wahri IrawanSyarif Hidayatullah State Islamic University Jakarta2
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'innaAfiliasi tidak diketahui1
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
Bambang PurwantoState University of Semarang1
Mahmudi MahmudiSyarif Hidayatullah State Islamic University Jakarta1
Galuh PrayogaSyarif Hidayatullah State Islamic University Jakarta1
Irma FauziahSyarif Hidayatullah State Islamic University Jakarta1
Salma Abidah FaizahSyarif Hidayatullah State Islamic University Jakarta1
Taufik Edy SutantoSyarif Hidayatullah State Islamic University Jakarta1
Agus Yodi GunawanBandung Institute of Technology1
S. SutawanirAfiliasi tidak diketahui1
Rini MarwatiIndonesia University of Education1
Iskandar FahmiBandung Institute of Technology1
Anggita SeptianiBandung Institute of Technology1

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Sumber metadata: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (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>
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