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Analisis Sensitivitas dan Kestabilan Global Model Pengendalian Tuberkulosis dengan Vaksinasi, Latensi dan Perawatan Infeksi

KUBIK: Jurnal Publikasi Ilmiah Matematika · Vol. 6 No. 2 (2022) · hlm. 85–97

DOI
10.15575/kubik.v6i2.14938
ISSN
2686-0341, 2338-0896
Terbit
2022-04-25
Penerbit
Department of Mathematics, Faculty of Science and Technology, UIN Sunan Gunung Djati Bandung
Bahasa
eng

Abstrak

Tuberculosis is an infectious disease caused by the bacterium Mycobacterium tuberculosis which attacks the lungs. Tuberculosis or TB is one of the diseases with the highest mortality rate in the world. In this article, we will examine the sensitivity and global stability analysis of the tuberculosis control model with vaccination, latency and infection treatment. In this model, the population is divided into 5 compartments, namely the immunized population (M), susceptible population (S), infected population with latent TB (L), infected population with active TB (I) and the recovered population (R). The equilibrium point, local and global stability, basic reproduction number R0 is analyzed along with sensitivity analysis to see the effect of parameter values on the basic reproduction number R0. From the analysis and simulation result, it is found that there are two parameters that have the most influence on the spread of tuberculosis, namely the recovery rate of latent TB and the infection rate of active TB. If the recovery rate of latent TB is higher than the infection rate of active TB infection, then the disease will gradually disappear from the population, whereas if the recovery rate of latent TB is lower than the infection rate of active TB, the disease will spread within the population.

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26 penulis · 48 tautan kepenulisan bersama · 19 lintas organisasi

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  • Sunan Gunung Djati State Islamic University Bandung
  • Padjadjaran University
  • Bandung Institute of Technology
  • Politeknik Piksi Ganesha
  • Institut Teknologi Statistika dan Bisnis Muhammadiyah Semarang
  • President University
  • Sumatera Institute of Technology
  • Afiliasi tidak diketahui
  • Organisasi berbeda
  • Organisasi sama
  • Afiliasi tidak diketahui
  • Garis lebih tebal = lebih banyak artikel bersama · lingkaran lebih besar = lebih banyak artikel
Tampilkan sebagai tabel
Rekan penulisOrganisasiArtikel bersama
Dani SuandiPoliteknik Piksi Ganesha2
Lisna NurjanahSunan Gunung Djati State Islamic University Bandung1
Elis Ratna WulanSunan Gunung Djati State Islamic University Bandung1
Nurhalimah NurhalimahSunan Gunung Djati State Islamic University Bandung1
Siti NurjanahSunan Gunung Djati State Islamic University Bandung1
Melani Yana PutriSunan Gunung Djati State Islamic University Bandung1
Asri Puji LestariSunan Gunung Djati State Islamic University Bandung1
Diny ZulkarnaenSunan Gunung Djati State Islamic University Bandung1
Ichwal Afrizan ShiddiqieSunan Gunung Djati State Islamic University Bandung1
Arista Fitri DianaInstitut Teknologi Statistika dan Bisnis Muhammadiyah Semarang1
Asep Solih AwalluddinSunan Gunung Djati State Islamic University Bandung1
Hathifah Fidya AmaliaSunan Gunung Djati State Islamic University Bandung1
Inge WahyuniAfiliasi tidak diketahui1
Edy SoewonoBandung Institute of Technology1
Nuning NurainiBandung Institute of Technology1
Nursanti AnggrianiPadjadjaran University1
Asep Kuswandi SupriatnaPadjadjaran University1
Laura LauraPadjadjaran University1
Edwin Setiawan NugrahaPresident University1
Randi RamdhaniSunan Gunung Djati State Islamic University Bandung1
Nela RizkaSumatera Institute of Technology1
Elvi Syukrina EriantoSunan Gunung Djati State Islamic University Bandung1
Najmudin NuwariSunan Gunung Djati State Islamic University Bandung1

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Sumber metadata: OAI-PMH (metadata jurnal) https://journal.uinsgd.ac.id/index.php/kubik/oai, pertama di-harvest 7 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">Analisis Sensitivitas dan Kestabilan Global Model Pengendalian Tuberkulosis dengan Vaksinasi, Latensi dan Perawatan Infeksi</dc:title>
	<dc:creator>Amatillah, Della Isna</dc:creator>
	<dc:creator>Ilahi, Fadilah</dc:creator>
	<dc:creator>Khumaeroh, Mia Siti</dc:creator>
	<dc:subject xml:lang="en-US">Tuberculosis</dc:subject>
	<dc:subject xml:lang="en-US">Tuberculosis control</dc:subject>
	<dc:subject xml:lang="en-US">Vaccination</dc:subject>
	<dc:subject xml:lang="en-US">Latency</dc:subject>
	<dc:subject xml:lang="en-US">Sensitivity analysis</dc:subject>
	<dc:subject xml:lang="en-US">Basic reproduction number.</dc:subject>
	<dc:description xml:lang="en-US">Tuberculosis is an infectious disease caused by the bacterium Mycobacterium tuberculosis which attacks the lungs. Tuberculosis or TB is one of the diseases with the highest mortality rate in the world. In this article, we will examine the sensitivity and global stability analysis of the tuberculosis control model with vaccination, latency and infection treatment. In this model, the population is divided into 5 compartments, namely the immunized population (M), susceptible population (S), infected population with latent TB (L), infected population with active TB (I) and the recovered population (R).  The equilibrium point, local and global stability, basic reproduction number R0 is analyzed along with sensitivity analysis to see the effect of parameter values on the basic reproduction number R0. From the analysis and simulation result, it is found that there are two parameters that have the most influence on the spread of tuberculosis, namely the recovery rate of latent TB and the infection rate of active TB. If the recovery rate of latent TB is higher than the infection rate of active TB infection, then the disease will gradually disappear from the population, whereas if the recovery rate of latent TB is lower than the infection rate of active TB, the disease will spread within the population.</dc:description>
	<dc:publisher xml:lang="en-US">Department of Mathematics, Faculty of Science and Technology, UIN Sunan Gunung Djati Bandung</dc:publisher>
	<dc:date>2022-04-25</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en-US">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.uinsgd.ac.id/index.php/kubik/article/view/14938</dc:identifier>
	<dc:identifier>10.15575/kubik.v6i2.14938</dc:identifier>
	<dc:source xml:lang="en-US">KUBIK: Jurnal Publikasi Ilmiah Matematika; Vol. 6 No. 2 (2021): KUBIK: Jurnal Publikasi Ilmiah Matematika; 85-97</dc:source>
	<dc:source xml:lang="id-ID">KUBIK; Vol 6 No 2 (2021): KUBIK: Jurnal Publikasi Ilmiah Matematika; 85-97</dc:source>
	<dc:source>2686-0341</dc:source>
	<dc:source>2338-0896</dc:source>
	<dc:source>10.15575/kubik.v6i2</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://journal.uinsgd.ac.id/index.php/kubik/article/view/14938/7057</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2022 Della Isna Amatillah, Fadilah Ilahi, Mia Siti Khumaeroh</dc:rights>
</oai_dc:dc>