Stochastic monotonicity and continuity properties of functions defined on Crump-Mode-Jagers branching processes, with application to vaccination in epidemic modelling

DOI10.3150/13-BEJ551zbMath1329.60299arXiv1410.6020MaRDI QIDQ470065

Maroussia Slavtchova-Bojkova, Rodrigo Martínez, Miguel González, Frank G. Ball

Publication date: 11 November 2014

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6020

zbMATH Keywords

continuitycouplingMonte-Carlo methodSIR epidemic modelstochastic monotonicityCrump-Mode-Jagers branching processesvaccination policies

Mathematics Subject Classification ID

Epidemiology (92D30) Monte Carlo methods (65C05) Applications of branching processes (60J85) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (4)

Total Progeny of Crump-Mode-Jagers Branching Processes: An Application to Vaccination in Epidemic Modelling ⋮ Central limit theorem for supercritical binary homogeneous Crump-Mode-Jagers processes ⋮ On branching models with alarm triggerings ⋮ Branching random walks and their applications for epidemic modeling

Uses Software

• R

Cites Work

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