Kridha Pusawidjayanti, Vera Putri Wahyuni
In this study a mathematical model called SEIR (Susceptible-Exposed-Infectious-Recovered) is used to simulate the transmission of SARS-CoV-2, or severe acute respiratory syndrome, using a quarantine strategy. COVID-19 is an infectious disease caused by the SARS-CoV-2 virus. The purpose of this study is to determine the sustainability of the spread of the disease in the future by showing the basic reproduction number, the equilibrium point in the SEIR mathematical modeling of the disease-free and endemic points, and the analysis and simulation of the model using the Matlab program. There are two equilibrium points, namely, the disease-free equilibrium point. E0s0,e0,i0,r0 = μπ ,0,0,0 and the endemic equilibrium point E1s∗,e∗,i∗,r∗. As for the stability obtained, at the disease-free and endemic equilibrium points, both are asymptotically stable under certain conditions, but using the available data, stability is obtained at the endemic equilibrium point only. The basic reproduction number R0 has been obtained, namely R0 = μβθμγθμαπβ . Numerical simulations are used to confirm the analysis and with the available data produce R0 > 1, Which indicates that SARS-CoV-2 will eventually continue to spread even if given quarantine measures. © 2025 American Institute of Physics Inc.. All rights reserved.
Department of Mathematics, Universitas Negeri Malang, Malang, 65145, Indonesia
