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Model matematika penyebaran COVID-19 dengan penggunaan masker kesehatan dan karantina

Jambura Journal of Biomathematics (JJBM) · Vol. ume (2021) · hlm. 68–79

DOI
10.34312/jjbm.v2i2.10483
ISSN
2723-0317
Terbit
2021-10-19
Penerbit
Department of Mathematics, Universitas Negeri Gorontalo
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-nc/4.0

Abstrak

This study developed a model for the spread of COVID-19 disease using the SIR model which was added by a health mask and quarantine for infected individuals. The population is divided into six subpopulations, namely the subpopulation susceptible without a health mask, susceptible using a health mask, infected without using a health mask, infected using a health mask, quarantine for infected individuals, and the subpopulation to recover. The results obtained two equilibrium points, namely the disease-free equilibrium point and the endemic equilibrium point, and the basic reproduction number (R0). The existence of a disease-free equilibrium point is unconditional, whereas an endemic equilibrium point exists if the basic reproduction number is more than one. Stability analysis of the local asymptotically stable disease-free equilibrium point when the basic reproduction number is less than one. Furthermore, numerical simulations are carried out to provide a geometric picture related to the results that have been analyzed. The results of numerical simulations support the results of the analysis obtained. Finally, the sensitivity analysis of the basic reproduction numbers carried out obtained four parameters that dominantly affect the basic reproduction number, namely the rate of contact of susceptible individuals with infection, the rate of health mask use, the rate of health mask release, and the rate of quarantine for infected individuals.

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  • Syarif Hidayatullah State Islamic University Jakarta
  • University of Singaperbangsa Karawang
  • Binus University
  • Diponegoro University
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Rekan penulisOrganisasiArtikel bersama
Nina FitriyatiSyarif Hidayatullah State Islamic University Jakarta3
Nur Lailiyatul InayahSyarif Hidayatullah State Islamic University Jakarta2
Madona Yunita WijayaSyarif Hidayatullah State Islamic University Jakarta2
Maghvirotul AzizahSyarif Hidayatullah State Islamic University Jakarta2
Savira PratiwiSyarif Hidayatullah State Islamic University Jakarta2
Raza Aqil MaulanaSyarif Hidayatullah State Islamic University Jakarta2
Ikhwal YupintoSyarif 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
Wahri IrawanSyarif Hidayatullah State Islamic University Jakarta1
Mahmudi MahmudiSyarif Hidayatullah State Islamic University Jakarta1
Galuh PrayogaSyarif Hidayatullah State Islamic University Jakarta1
Andrew FiadeSyarif Hidayatullah State Islamic University Jakarta1
Flori R. SariSyarif Hidayatullah State Islamic University Jakarta1

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Sumber metadata: OAI-PMH (metadata jurnal) http://ejurnal.ung.ac.id/index.php/JJBM/oai, pertama di-harvest 9 Nov 2026, terakhir terlihat 9 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">Model matematika penyebaran COVID-19 dengan penggunaan masker kesehatan dan karantina</dc:title>
	<dc:creator>Manaqib, Muhammad</dc:creator>
	<dc:creator>Fauziah, Irma</dc:creator>
	<dc:creator>Hartati, Eti</dc:creator>
	<dc:subject xml:lang="en-US">COVID-19; Health Mask; SIQR Model; Basic Reproduction Number; Stability of Equilibrium Point</dc:subject>
	<dc:description xml:lang="en-US">This study developed a model for the spread of COVID-19 disease using the SIR model which was added by a health mask and quarantine for infected individuals. The population is divided into six subpopulations, namely the subpopulation susceptible without a health mask, susceptible using a health mask, infected without using a health mask, infected using a health mask, quarantine for infected individuals, and the subpopulation to recover. The results obtained two equilibrium points, namely the disease-free equilibrium point and the endemic equilibrium point, and the basic reproduction number (R0). The existence of a disease-free equilibrium point is unconditional, whereas an endemic equilibrium point exists if the basic reproduction number is more than one. Stability analysis of the local asymptotically stable disease-free equilibrium point when the basic reproduction number is less than one. Furthermore, numerical simulations are carried out to provide a geometric picture related to the results that have been analyzed. The results of numerical simulations support the results of the analysis obtained. Finally, the sensitivity analysis of the basic reproduction numbers carried out obtained four parameters that dominantly affect the basic reproduction number, namely the rate of contact of susceptible individuals with infection, the rate of health mask use, the rate of health mask release, and the rate of quarantine for infected individuals.</dc:description>
	<dc:publisher xml:lang="en-US">Department of Mathematics, Universitas Negeri Gorontalo</dc:publisher>
	<dc:contributor xml:lang="en-US">Mathematics Departement, Syarif Hidayatullah State Islamic University Jakarta</dc:contributor>
	<dc:date>2021-10-19</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://ejurnal.ung.ac.id/index.php/JJBM/article/view/10483</dc:identifier>
	<dc:identifier>10.34312/jjbm.v2i2.10483</dc:identifier>
	<dc:source xml:lang="en-US">Jambura Journal of Biomathematics (JJBM); Volume 2, Issue 2: December 2021; 68-79</dc:source>
	<dc:source>2723-0317</dc:source>
	<dc:source>10.34312/jjbm.v2i2</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ejurnal.ung.ac.id/index.php/JJBM/article/view/10483/3307</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2021 Muhammad Manaqib, Irma Fauziah, Eti Hartati</dc:rights>
	<dc:rights xml:lang="en-US">https://creativecommons.org/licenses/by-nc/4.0</dc:rights>
</oai_dc:dc>