The shape of the size distribution of an epidemic in a finite population

DOI10.1016/0025-5564(94)90010-8zbMath0805.92023OpenAlexW2048291339WikidataQ45139964 ScholiaQ45139964MaRDI QIDQ1340482

Ingemar Nåsell, Frank G. Ball

Publication date: 19 December 1994

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(94)90010-8

zbMATH Keywords

threshold conceptreproduction ratioapproximation of the final size distributionstochastic S-I-R epidemic

Mathematics Subject Classification ID

Epidemiology (92D30)

Related Items (7)

On the exact measure of disease spread in stochastic epidemic models ⋮ On the number of recovered individuals in the \(SIS\) and \(SIR\) stochastic epidemic models ⋮ Some properties of an estimator for the basic reproduction number of the general epidemic model ⋮ Fluctuation effects in metapopulation models: percolation and pandemic threshold ⋮ Stochastic Epidemic Modeling ⋮ Modelling the impact of repeat asymptomatic testing policies for staff on SARS-CoV-2 transmission potential ⋮ Determination of threshold conditions for a non-linear stochastic partnership model for heterosexually transmitted diseases with stages

Cites Work

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• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• A unified approach to the distribution of total size and total area under the trajectory of infectives in epidemic models
• On the spread of a disease with gamma distributed latent and infectious periods
• Threshold limit theorems for some epidemic processes
• Some Stochastic Models for Small Epidemics in Large Populations
• A unified analysis of the final size and severity distribution in collective Reed-Frost epidemic processes

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