1.
Computational Mathematics and Modeling
; 33(3):284-299, 2022.
Article
in English
| Scopus | ID: covidwho-2303372
ABSTRACT
This is a theoretical study of the SIR model — a popular mathematical model of the propagation of infectious diseases. We construct a solution of the Cauchy problem for a system of two ordinary differential equations describing in integral form the concentration dynamics of infected and recovered individuals in an immune population. A qualitative analysis is carried out of the stationary system states using the Lyapunov function. An expression is obtained for the coordinates of the equilibrium points in terms of the Lambert W-function for arbitrary initial values. The application of the SIR model for the description of COVID-19 propagation dynamic is demonstrated. © 2023, Springer Science+Business Media, LLC, part of Springer Nature.
2.
Int Braz J Urol
; 47(5): 1050-1056, 2021.
Article
in English
| MEDLINE | ID: covidwho-1191933