ANALYSIS OF THE COVID-19 EPIDEMIC MODEL WITH SELF-ISOLATION AND HOSPITAL ISOLATION

This research developed the SIR model with self-isolation and hospital isolation. The analysis is carried out through the disease-free and endemic equilibrium point analysis and the sensitivity analysis of the basic reproduction number. Based on the disease-free equilibrium point analysis, for a cer...

Full description

Saved in:
Bibliographic Details
Main Authors: Muhammad Manaqib, Tesa Nur Padilah, Iqbal Maulana
Format: Article
Language:English
Published: Universitas Pattimura 2023-12-01
Series:Barekeng
Subjects:
Online Access:https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/9734
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849239499365679104
author Muhammad Manaqib
Tesa Nur Padilah
Iqbal Maulana
author_facet Muhammad Manaqib
Tesa Nur Padilah
Iqbal Maulana
author_sort Muhammad Manaqib
collection DOAJ
description This research developed the SIR model with self-isolation and hospital isolation. The analysis is carried out through the disease-free and endemic equilibrium point analysis and the sensitivity analysis of the basic reproduction number. Based on the disease-free equilibrium point analysis, for a certain period of time the population will be free from COVID-19 if the basic reproduction number is less than 1. If the basic reproduction number is more than 1, the disease will persist in the population, this will lead to an endemic equilibrium point. Based on the sensitivity analysis of parameter values on the basic reproduction number, the parameter for the isolation rate of individually infected individuals in hospitals is -0.4615166040, and the self-isolation rate at home is -0.01853667767. This indicates that isolation in hospitals is more effective than self-isolation in suppressing the spread of COVID-19.
format Article
id doaj-art-49e1aa0a127d4d66a993e42fe6fb6cdc
institution Kabale University
issn 1978-7227
2615-3017
language English
publishDate 2023-12-01
publisher Universitas Pattimura
record_format Article
series Barekeng
spelling doaj-art-49e1aa0a127d4d66a993e42fe6fb6cdc2025-08-20T04:00:55ZengUniversitas PattimuraBarekeng1978-72272615-30172023-12-011742147216010.30598/barekengvol17iss4pp2147-21609734ANALYSIS OF THE COVID-19 EPIDEMIC MODEL WITH SELF-ISOLATION AND HOSPITAL ISOLATIONMuhammad Manaqib0Tesa Nur Padilah1Iqbal Maulana2Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah Jakarta, IndonesiaDepartment of Informatics, Faculty of Computer Science, University of Singaperbangsa Karawang, IndonesiaDepartment of Informatics, Faculty of Computer Science, University of Singaperbangsa Karawang, IndonesiaThis research developed the SIR model with self-isolation and hospital isolation. The analysis is carried out through the disease-free and endemic equilibrium point analysis and the sensitivity analysis of the basic reproduction number. Based on the disease-free equilibrium point analysis, for a certain period of time the population will be free from COVID-19 if the basic reproduction number is less than 1. If the basic reproduction number is more than 1, the disease will persist in the population, this will lead to an endemic equilibrium point. Based on the sensitivity analysis of parameter values on the basic reproduction number, the parameter for the isolation rate of individually infected individuals in hospitals is -0.4615166040, and the self-isolation rate at home is -0.01853667767. This indicates that isolation in hospitals is more effective than self-isolation in suppressing the spread of COVID-19.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/9734basic reproduction numbercovid-19disease-free equilibrium pointecemic equilibrium point
spellingShingle Muhammad Manaqib
Tesa Nur Padilah
Iqbal Maulana
ANALYSIS OF THE COVID-19 EPIDEMIC MODEL WITH SELF-ISOLATION AND HOSPITAL ISOLATION
Barekeng
basic reproduction number
covid-19
disease-free equilibrium point
ecemic equilibrium point
title ANALYSIS OF THE COVID-19 EPIDEMIC MODEL WITH SELF-ISOLATION AND HOSPITAL ISOLATION
title_full ANALYSIS OF THE COVID-19 EPIDEMIC MODEL WITH SELF-ISOLATION AND HOSPITAL ISOLATION
title_fullStr ANALYSIS OF THE COVID-19 EPIDEMIC MODEL WITH SELF-ISOLATION AND HOSPITAL ISOLATION
title_full_unstemmed ANALYSIS OF THE COVID-19 EPIDEMIC MODEL WITH SELF-ISOLATION AND HOSPITAL ISOLATION
title_short ANALYSIS OF THE COVID-19 EPIDEMIC MODEL WITH SELF-ISOLATION AND HOSPITAL ISOLATION
title_sort analysis of the covid 19 epidemic model with self isolation and hospital isolation
topic basic reproduction number
covid-19
disease-free equilibrium point
ecemic equilibrium point
url https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/9734
work_keys_str_mv AT muhammadmanaqib analysisofthecovid19epidemicmodelwithselfisolationandhospitalisolation
AT tesanurpadilah analysisofthecovid19epidemicmodelwithselfisolationandhospitalisolation
AT iqbalmaulana analysisofthecovid19epidemicmodelwithselfisolationandhospitalisolation