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

We study continuous-time birth–death type processes, where individuals have independent and identically distributed lifetimes, according to a random variable Q, with E[Q] = 1, and where the birth rate if the population is currently in state (has size) n is α(n). We focus on two important examples, n...

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Bibliographic Details
Main Authors: Ball, Frank, Britton, Tom, Neal, Peter
Format: Article
Published: Applied Probability Trust 2016
Subjects:
Online Access:https://eprints.nottingham.ac.uk/34191/