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All Journal AdMathEdu : Jurnal Ilmiah Pendidikan Matematika, Ilmu Matematika dan Matematika Terapan Jurnal Matematika UNAND Jurnal Kedokteran: Media Informasi Ilmu Kedokteran dan Kesehatan
I MADE EKA DWIPAYANA
Universitas Udayana
Computer Science & IT Education Health Professions Immunology & microbiology Mathematics Medicine & Pharmacology Public Health

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Journal : Jurnal Matematika UNAND

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Mathematical Model of COVID-19 with Aspects of Community Compliance to Health Protocols Gautama, I Putu Winada; Wijayakusuma, IGN Lanang; Swastika, Putu Veri; Dwipayana, I Made Eka
Jurnal Matematika UNAND Vol. 14 No. 2 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.2.154-166.2025

Abstract

COVID-19 infection is still a health problem in various countries. Some people who recover from COVID-19 still experience some symptoms. Therefore, it is essential to implement health protocols to minimize transmission of the COVID-19 virus. Based on this, a mathematical model of COVID-19 with aspects of community compliance with health protocols is presented. The population is divided into three subpopulations: the susceptible subpopulation, the exposed subpopulation, and the infected subpopulation. The basic reproduction number, $R_0$, determines whether there are disease-free and endemic equilibrium points. When $R_0$ is less than 1, the disease-free equilibrium is locally asymptotically stable. Conversely, when $R_0$ is greater than 1, the endemic equilibrium point is locally stable. Numerical simulations will demonstrate how COVID-19 spreads, taking into account community adherence to health guidelines. The results of numerical simulations indicate that an increase in public adherence to health protocols leads to a decrease in the number of COVID-19 infections.
Co-Authors I PUTU WINADA GAUTAMA Kartinawati, Komang Triyani Pradnyawati, Luh Gede Swastika, Putu Veri Wijayakusuma, I Gusti Ngurah Lanang