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Poisson approximation for the final state of a generalized epidemic process

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Publication:1902945
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DOI10.1214/aop/1176988177zbMath0833.60023OpenAlexW2049322835MaRDI QIDQ1902945

Sergey Utev, Claude Lefèvre

Publication date: 5 March 1996

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176988177


zbMATH Keywords

random walkcouplingepidemic processPoisson convergence


Mathematics Subject Classification ID

Epidemiology (92D30) Central limit and other weak theorems (60F05)


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Poisson approximations for epidemics with two levels of mixing. ⋮ Asymptotic behavior of the final number of susceptible individuals in generalized epidemic processes ⋮ Thresholds for virus spread on networks ⋮ Compound Poisson limits for household epidemics ⋮ Approximating Quasistationary Distributions of Birth–Death Processes ⋮ The relationship between real-time and discrete-generation models of epidemic spread ⋮ Approximating the Reed-Frost epidemic process ⋮ Mixed Poisson approximation in the collective epidemic model ⋮ Unnamed Item ⋮ The great circle epidemic model.



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