| Abstrakt: |
This study builds on a new COVID-19 model with isolation subpopulations. This model divides the population into five subpopulations: S, E, I, H, and R. The model that has been built is then subjected to dynamic analysis, such as the basic reproduction number, determining the equilibrium point, and analyzing the stability point. From the model, two equilibrium points are obtained: disease-free and endemic. The stability analysis of the equilibrium point for τ =0 is carried out using the Routh-Hurwitz criteria on the eigenvalues of the system that has been linearized. Meanwhile, for τ >0 is done by checking the existence of the eigenvalues with the zero-valued real part of the characteristic equation. The results of the analysis show that the basic reproduction number, R0, determines the stability of each equilibrium point. The existence of a time delay affects the type of stability and convergence of the equilibrium point. [ABSTRACT FROM AUTHOR] |
