Approximating the Reed-Frost epidemic process

DOI10.1016/j.spa.2004.03.013zbMath1113.92054OpenAlexW2077697549MaRDI QIDQ2485788

Sergey Utev, Andrew David Barbour

Publication date: 5 August 2005

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2004.03.013

zbMATH Keywords

Total variationBranching process approximationReed-Frost epidemic processAsymptotic relative closenessFinal size distributionLocal limit approximation

Mathematics Subject Classification ID

Epidemiology (92D30) Central limit and other weak theorems (60F05) Applications of branching processes (60J85)

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Cites Work

• Strong approximations for epidemic models
• Poisson approximation for the final state of a generalized epidemic process
• Branching approximation for the collective epidemic model
• On the Fluctuations of the Giant Component
• Symmetric sampling procedures, general epidemic processes and their threshold limit theorems
• Convergence of stochastic processes
• Design issues for studies of infectious diseases