Asymptotic analysis of the SIR model and the Gompertz distribution

DOI10.1016/j.cam.2022.114901zbMath1505.92222OpenAlexW4307819883MaRDI QIDQ2104080

Dimiter Prodanov

Publication date: 9 December 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114901

zbMATH Keywords

incomplete gamma functionasymptotic analysisGumbel distributionGompertz distributionSIR modelLambert W function

Mathematics Subject Classification ID

Epidemiology (92D30) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

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• Analytical features of the SIR model and their applications to COVID-19
• Comments on some analytical and numerical aspects of the SIR model
• The Mathematics of Infectious Diseases
• An Introduction to Mathematical Epidemiology
• Analytical solution of the SIR-model for the temporal evolution of epidemics. Part A: time-independent reproduction factor

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