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

• Muhammad Manaqib Department of Mathematics, Faculty of Sciences and Technology, UIN Syarif Hidayatullah Jakarta, Indonesia
• Tesa Nur Padilah Department of Informatics, Faculty of Computer Science, University of Singaperbangsa Karawang, Indonesia
• Iqbal Maulana Department of Informatics, Faculty of Computer Science, University of Singaperbangsa Karawang, Indonesia
Keywords: Basic Reproduction Number, COVID-19, Disease-Free Equilibrium Point, Ecemic Equilibrium Point

### Abstract

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.

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Published
2023-12-19
How to Cite
[1]
M. Manaqib, T. Padilah, and I. Maulana, “ANALYSIS OF THE COVID-19 EPIDEMIC MODEL WITH SELF-ISOLATION AND HOSPITAL ISOLATION”, BAREKENG: J. Math. & App., vol. 17, no. 4, pp. 2147-2160, Dec. 2023.
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Articles