Mathematical Analysis of a COVID-19 Compartmental Model with Interventions

Authors

Elvira P. De Lara-Tuprio, Ateneo de Manila UniversityFollow
Carlo Delfin S. Estadilla, Ateneo de Manila UniversityFollow
Timothy Robin Y. Teng, Ateneo de Manila UniversityFollow
Joshua Uyheng, Ateneo de Manila UniversityFollow
Ma. Regina Justina E. Estuar, Ateneo de Manila UniversityFollow
Kennedy E. Espina, Ateneo de Manila UniversityFollow
Jay Michael R. Macalalag, Caraga State UniversityFollow
Raymond Francis R. Sarmiento, National Institutes of Health, University of the Philippines, ManilaFollow

Document Type

Conference Proceeding

Publication Date

11-18-2021

Abstract

Mathematical models of the COVID-19 pandemic have been utilized in a variety of settings as a core component of national public health responses. Often based on systems of ordinary differential equations; compartmental models are commonly used to understand and forecast outbreak trajectories. In view of the primarily applied nature of COVID-19 models; theoretical analysis can provide a global and long-term perspective of key model properties; and relevant insights about the infection dynamics they represent. This work formulates and undertakes such an investigation for a compartmental model of COVID-19; which includes the effect of interventions. More specifically; this paper analyzes the characteristics of the solutions of a compartmental model by establishing the existence and stability of the equilibrium points based on the value of the basic reproductive number R₀. Our results provide insights on the possible policies that can be implemented to address the health crisis.

Recommended Citation

Lara-Tuprio, E. P. de, Estadilla, C. D. S., Teng, T. R. Y., Uyheng, J., Estuar, M. R. J. E., Espina, K. E., Macalalag, J. M. R., & Sarmiento, R. F. R. (2021). Mathematical analysis of a COVID-19 compartmental model with interventions. AIP Conference Proceedings, 2423(1), 020025. https://doi.org/10.1063/5.0075333