Mathematical Model of COVID-19 with Aspects of Community Compliance to Health Protocols
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.
Authors
- Putu Veri Swastika (ORCID: https://orcid.org/0000-0001-8540-8520)
- I Made Eka Dwipayana
- I Putu Winada Gautama (ORCID: https://orcid.org/0000-0002-6293-1930)
- IGN Lanang Wijayakusuma
Institutions
- Udayana University (ID)
Publication Details
- Journal
- Jurnal Matematika UNAND
- Published
- 2025-05-25
- DOI
- https://doi.org/10.25077/jmua.14.2.154-166.2025
- Primary Topic
- Information Systems and Technology Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00