Computational aspects of the approximate analytic solutions of the SIR model: applications to modelling of COVID-19 outbreaks

DOI10.1007/s11071-023-08656-8zbMath1519.92295OpenAlexW4381273353MaRDI QIDQ6166552

Dimiter Prodanov

Publication date: 3 August 2023

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-023-08656-8

zbMATH Keywords

incomplete gamma functionasymptotic analysisGompertz distributionSIR modelLambert W function

Mathematics Subject Classification ID

Epidemiology (92D30) Medical epidemiology (92C60) Numerical approximation and evaluation of special functions (33F05) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Cites Work

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• Analytical solution of the SIR-model for the temporal evolution of epidemics. Part A: time-independent reproduction factor

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