Analytical and Numerical Investigation of the SIR Mathematical Model.

Autor:	Semendyaeva, N. L., Orlov, M. V., Rui, Tang, Enping, Yang
Předmět:	MATHEMATICAL models ORDINARY differential equations LYAPUNOV functions INTEGRAL equations CAUCHY problem COMMUNICABLE diseases
Zdroj:	Computational Mathematics & Modeling; Jul2022, Vol. 33 Issue 3, p284-299, 16p
Abstrakt:	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. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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