Nur Shofianah, Wuryansari Muharini Kusumawinahyu, Indah Yanti, Anggit Eka Yulianti, Habib Hafadzi Tito, Athaya Putri Rahmadanti
This research focus on the dynamical analysis of COVID-19 spreading by using SEIAQR model with vaccination. In this model, the human population consist of some subpopulations: susceptible, exposed, infected, asymptomatic, quarantined and recovered subpopulation. Firstly, we construct the model then analyze the dynamic of the model by determining the equilibrium points and the basic reproduction number R0. After that, the stability of the equilibrium points will be analyzed. Based on the dynamical analysis, there are two equilibrium points, namely the disease-free equilibrium point (DFE) and the endemic equilibrium point. The DFE is always exist, while the endemic equilibrium point exists when R0 > 1. The DFE is asymptotically stable, both locally and globally when R0 < 1. The endemic equilibrium point is locally asymptotically stable if it exists. Numerical simulation results support the dynamical analysis results that have been obtained. © 2025 Author(s).
Mathematics Department, Brawijaya University, Malang, 65145, Indonesia
