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MATHEMATICAL MODELLING OF PRIMARY INFECTION TUBERCULOSIS WITH ASTHMA AS A SECOND INFECTION

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 17 No. 4 (2023) · hlm. 1855–1864

DOI
10.30598/barekengvol17iss4pp1855-1864
ISSN
2615-3017, 1978-7227
Terbit
2023-12-18
Penerbit
PATTIMURA UNIVERSITY
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

Tuberculosis is an infectious disease caused by Mycobacterium Tuberculosis. Tuberculosis patients undergoing long-term tuberculosis treatment have a high risk to get asthma as a second infection. A person suffering from asthma cannot recover. Asthma therapy is only to control the development of asthma so that asthma does not get worse. In this study we discusses the spread of tuberculosis with asthma as a secondary infection. We perform the model into system of non- linear differential equation that consist of six equation because the population divided into six sub-population which are susceptible, infected by tuberculosis, undergoing tuberculosis treatment, infected by asthma, undergoing asthma treatment and recovered from tuberculosis. From the model that has been formed, we perform the analysis to obtain the equilibrium point and the basic reproduction number. Then we show the local stability of the equilibrium point and perform simulations to provide an illustration. From the analytical result, we got that the spread influence by recruitment rate, infection rate, natural death rate, tuberculosis treatment rate and death rate because of tuberculosis.

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  • State University of Semarang
  • Padjadjaran University
  • Universitas Muhammadiyah Kendari
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Rekan penulisOrganisasiArtikel bersama
Sri WinarniPadjadjaran University1
Mohammad Zen RahfiludinAfiliasi tidak diketahui1
Daru LestantyoAfiliasi tidak diketahui1
Andi Muhammad Akram MukhlisAfiliasi tidak diketahui1
Sukaryanto SukaryantoAfiliasi tidak diketahui1
Nida JarmitaAfiliasi tidak diketahui1
Suarni SuarniUniversitas Muhammadiyah Kendari1
Furqan AmriAfiliasi tidak diketahui1
Ika YatmikasariAfiliasi tidak diketahui1
TONENG LISTIANIAfiliasi tidak diketahui1
Woro SumarniState University of Semarang1
Sudarmin SudarminAfiliasi tidak diketahui1
Pramaditya WicaksonoAfiliasi tidak diketahui1
Muhammad Afif FauzanAfiliasi tidak diketahui1
Ignatius S. W. KumaraAfiliasi tidak diketahui1
Rifka N. YogyantoroAfiliasi tidak diketahui1
Satrio W. SuwardanaAfiliasi tidak diketahui1
Intansania NurmalasariAfiliasi tidak diketahui1
Santi ApriyaniAfiliasi tidak diketahui1

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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) 
<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">MATHEMATICAL MODELLING OF PRIMARY INFECTION TUBERCULOSIS WITH ASTHMA AS A SECOND INFECTION</dc:title>
	<dc:creator>Asih, Tri Sri Noor</dc:creator>
	<dc:creator>Fadhilah, Nurul</dc:creator>
	<dc:description xml:lang="en-US">Tuberculosis is an infectious disease caused by Mycobacterium Tuberculosis. Tuberculosis patients undergoing long-term tuberculosis treatment have a high risk to get asthma as a second infection. A person suffering from asthma cannot recover. Asthma therapy is only to control the development of asthma so that asthma does not get worse. In this study we discusses the spread of tuberculosis with asthma as a secondary infection. We perform the model into system of non- linear differential equation that consist of&amp;nbsp; six equation because the population divided into six sub-population which are susceptible, infected by tuberculosis, undergoing tuberculosis treatment, infected by asthma, undergoing asthma treatment and recovered from tuberculosis. From the model that has been formed, we perform the analysis to obtain the equilibrium point and the basic reproduction number. Then we show the local stability of the equilibrium point and perform simulations to provide an illustration. From the analytical result, we got that the spread influence by recruitment rate, infection rate, natural death rate, tuberculosis treatment rate and death rate because of tuberculosis.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2023-12-18</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/8286</dc:identifier>
	<dc:identifier>10.30598/barekengvol17iss4pp1855-1864</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 17 No 4 (2023): BAREKENG: Journal of Mathematics and Its Applications; 1855-1864</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol17iss4year2023</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/8286/7161</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Tri Sri Noor Asih, Nurul Fadhilah</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>