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

DOI10.1088/1751-8121/abc65dOpenAlexW3044914835MaRDI QIDQ5872031

Martin Kröger, Reinhard Schlickeiser

Publication date: 26 January 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/abc65d

zbMATH Keywords

coronavirusasymptotic behaviorextrapolationstatistical analysisepidemic spreadingSIR epidemic modelanalytic approximant

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (11)

Multi-Hamiltonian structure of the epidemics model accounting for vaccinations and a suitable test for the accuracy of its numerical solvers ⋮ Asymptotic analysis of periodic solutions of the seasonal SIR model ⋮ Stability and bifurcations of an SIR model with a nonlinear incidence rate ⋮ Computational aspects of the approximate analytic solutions of the SIR model: applications to modelling of COVID-19 outbreaks ⋮ On SIR-type epidemiological models and population heterogeneity effects ⋮ Two critical times for the SIR model ⋮ Explicit formulae for the peak time of an epidemic from the SIR model. Which approximant to use? ⋮ Modeling of COVID-19 propagation with compartment models ⋮ Asymptotic analysis of the SIR model and the Gompertz distribution ⋮ Analytical solution of the SIR-model for the temporal evolution of epidemics: part B. Semi-time case ⋮ Discrete SIR model on a homogeneous tree and its continuous limit

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