Sub- or supercritical transmissibilities in a finite disease outbreak: symmetry in outbreak properties of a disease conditioned on extinction

DOI10.1016/j.jtbi.2019.01.033zbMath1409.92258OpenAlexW2914139015WikidataQ63740007 ScholiaQ63740007MaRDI QIDQ1730116

P. Nouvellet, David Waxman

Publication date: 11 March 2019

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2019.01.033

zbMATH Keywords

branching processstochastic extinctiondisease outbreakemerging diseases

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of statistics to biology and medical sciences; meta analysis (62P10) Applications of branching processes (60J85)

Uses Software

• EpiEstim

Cites Work

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• Predicting extinction or explosion in a Galton-Watson branching process with power series offspring distribution
• Estimating the transmission potential of supercritical processes based on the final size distribution of minor outbreaks
• The effect of superspreading on epidemic outbreak size distributions
• The spread of awareness and its impact on epidemic outbreaks
• CONDITIONED MARKOV PROCESSES
• Collapsing supercritical branching processes
• The distribution of time to extinction in subcritical branching processes: applications to outbreaks of infectious disease
• Branching process models for surveillance of infectious diseases controlled by mass vaccination

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