Analytical and Numerical Investigation of the SIR Mathematical Model
نویسندگان
چکیده
This is a theoretical study of the SIR model — popular mathematical propagation infectious diseases. We construct solution Cauchy problem for system two ordinary differential equations describing in integral form concentration dynamics infected and recovered individuals an immune population. A qualitative analysis carried out stationary states using Lyapunov function. An expression obtained coordinates equilibrium points terms Lambert W-function arbitrary initial values. The application description COVID-19 dynamic demonstrated.
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ژورنال
عنوان ژورنال: Computational Mathematics and Modeling
سال: 2023
ISSN: ['1046-283X', '1573-837X']
DOI: https://doi.org/10.1007/s10598-023-09572-7