69 citations · 167 across the 19 of their papers we have counts for
Showing 2014Show all
3 papers · 1 filter
math.ST2014★ 8 cited
Stochastic monotonicity and continuity properties of functions defined on Crump-Mode-Jagers branching processes, with application to vaccination in epidemic modelling
Frank Ball, Miguel González, Rodrigo Martínez +1
This paper is concerned with Crump-Mode-Jagers branching processes, describing spread of an epidemic depending on the proportion of the population that is vaccinated. Births in the…
q-bio.PE2014
Reproduction numbers for epidemic models with households and other social structures II: comparisons and implications for vaccination
Frank Ball, Lorenzo Pellis, Pieter Trapman
In this paper we consider epidemic models of directly transmissible SIR (susceptible infective recovered) and SEIR (with an additional latent class) infections in fully…
math.PR2014
On expected durations of birth-death processes, with applications to branching processes and SIS epidemics
Frank Ball, Tom Britton, Peter Neal
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 wh…