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MODEL SUSCEPTIBLE VACCINATED INFECTED TREATMENT RECOVERED DENGAN KASUS KAMBUH DAN PENERAPANNYA (KASUS TUBERKULOSIS DI INDONESIA)

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 15 No. 4 (2021) · pp. 667–674

DOI
10.30598/barekengvol15iss4pp667-674
ISSN
2615-3017, 1978-7227
Published
2021-12-01
Publisher
PATTIMURA UNIVERSITY
Language
eng

Abstract

Tuberculosis (TB) is caused by Mycobacterium tuberculosis. BCG vaccination is prevention the spread of TB in Indonesia. Individuals who are vaccinated (vaccinated) are healthy individuals and susceptible to infection. If a person is infected with TB then curative efforts through DOTS treatment must be carried out in order to recover. In the case of TB, recovered individuals may relapse. The susceptible vaccinated infected treatment recovered ( ) model with relapse cases is able to represent the spread of TB. This study aims to build the model with relapse, apply it to TB in Indonesia using data from 2004-2019, and interpret the results of implementing the TB-free target in Indonesia in 2050. The model is nonlinear first-order differential equations. The graph of the pattern of TB spread shows that all groups of individuals are experiencing an uptrend and it is predicted that the TB-free target has not been achieved. However, if the coverage of BCG vaccination and DOTS treatment is increased, contacts with TB sufferers are reduced, and relapse cases are reduced, it is predicted that the TB-free target will be achieved.

Collaboration network of the authors

23 authors · 47 co-authorship links

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  • Binus University
  • Affiliation unknown
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  • Same organisation
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  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Dewi Retno Sari SaputroAffiliation unknown10
Ririn SetiyowatiAffiliation unknown2
Nughthoh Arfawi KurdhiAffiliation unknown2
Bowo WinaroAffiliation unknown1
Ria Puan AdhitamaAffiliation unknown1
Antoni WibowoBinus University1
Muhammad Nazhif Abda Putera KhanoAffiliation unknown1
Alexander Yonathan ChristyAffiliation unknown1
Aslina BaharumAffiliation unknown1
Cynthia Rizky AmeliaAffiliation unknown1
Siti Roqhilu YumarohAffiliation unknown1
Anas IvanniAffiliation unknown1
Krisna SidiqAffiliation unknown1
Harun Al RasyidAffiliation unknown1
Sela Putri IndriatiAffiliation unknown1
Ghufron Musta'inAffiliation unknown1
Fahri Aimar KusumoAffiliation unknown1
Nabiella Zahra RizkitaAffiliation unknown1
Ghaitsa Shafa Cinta KanantaAffiliation unknown1
Nicolas Ray Amarco TambunanAffiliation 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) 
<oai_dc:dc xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/  http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
	<dc:title xml:lang="en-US">MODEL SUSCEPTIBLE VACCINATED INFECTED TREATMENT RECOVERED DENGAN KASUS KAMBUH DAN PENERAPANNYA (KASUS TUBERKULOSIS DI INDONESIA)</dc:title>
	<dc:creator>Lestari, Arifah Mufidah</dc:creator>
	<dc:creator>Widyaningsih, Purnami</dc:creator>
	<dc:creator>Sutanto, Sutanto</dc:creator>
	<dc:description xml:lang="en-US">Tuberculosis (TB) is caused by Mycobacterium tuberculosis. BCG vaccination is prevention the spread of TB in Indonesia. Individuals who are vaccinated (vaccinated) are healthy individuals and susceptible to infection. If a person is infected with TB then curative efforts through DOTS treatment must be carried out in order to recover. In the case of TB, recovered individuals may relapse. The susceptible vaccinated infected treatment recovered ( ) model with relapse cases is able to represent the spread of TB. This study aims to build the  &amp;nbsp;model with relapse, apply it to TB in Indonesia using data from 2004-2019, and interpret the results of implementing the TB-free target in Indonesia in 2050. The model is nonlinear first-order differential equations. The graph of the pattern of TB spread shows that all groups of individuals are experiencing an uptrend and it is predicted that the TB-free target has not been achieved. However, if the coverage of BCG vaccination and DOTS treatment is increased, contacts with TB sufferers are reduced, and relapse cases are reduced, it is predicted that the TB-free target will be achieved.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2021-12-01</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/3842</dc:identifier>
	<dc:identifier>10.30598/barekengvol15iss4pp667-674</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 15 No 4 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan; 667-674</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol15iss4year2021</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/3842/3573</dc:relation>
</oai_dc:dc>