On expected durations of birth–death processes, with applications to branching processes and SIS epidemics

DOI10.1017/JPR.2015.19zbMath1337.60207arXiv1408.0641OpenAlexW1581008366MaRDI QIDQ2804424

Peter Neal, Tom Britton, Frank G. Ball

Publication date: 29 April 2016

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.0641

zbMATH Keywords

branching processesbirth-death processesSIS epidemicsinsensitivity results

Mathematics Subject Classification ID

Epidemiology (92D30) Stationary stochastic processes (60G10) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (6)

Precise estimates of persistence time for SIS infections in heterogeneous populations ⋮ Household epidemic models and McKean-Vlasov Poisson driven stochastic differential equations ⋮ Extinction times in the subcritical stochastic SIS logistic epidemic ⋮ Asymptotic persistence time formulae for multitype birth–death processes ⋮ Persistence time of SIS infections in heterogeneous populations and networks ⋮ Approximating time to extinction for endemic infection models

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