Analysis of the SvEAIQR Model on the Spread of COVID-19 With Vaccination

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Kridha Pusawidjayanti, Asmianto, Vita Kusumasari

2025 AIP Conference Proceedings Vol. 3446 Issue 1 Conference paper Cited by 0 Quartile

Abstract

This work includes a mathematical model, called SvEAIQR, that takes into account three subpopulations that induce infection: exposed (E), asymptomatic (A), and infected (I). This model analyses the dynamics of the dissemination of COVID-19. The main goals of this study were the basic reproduction number R0, stability at endemic and non-endemic equilibrium points, and the model of COVID-19 disease transmission. An endemic equilibrium point, E1 = Sv∗,E∗,A∗,I∗,Q∗, is unstable. In contrast, a non-endemic equilibrium point, E0 = Sv,E,A,I,Q, is locally asymptotically stable and was discovered through the analysis of the SvEAIQR model. Using Python and variable and parameter data, numerical simulation produced R0 = 5.55115310−13 < 1, indicating that the population will be free from COVID-19 disease over time. © 2025 American Institute of Physics Inc.. All rights reserved.

Affiliations

Department of Mathematics, Universitas Negeri Malang, Malang, 65145, Indonesia