5 papers · 1 filter
Epidemics on networks with preventive rewiring
Frank Ball, Tom Britton
A stochastic SIR (susceptible infective recovered) epidemic model defined on a social network is analysed. The underlying social network is described by an Erdős-Rényi…
Central limit theorems for SIR epidemics and percolation on configuration model random graphs
Frank Ball
We consider a stochastic SIR (susceptible infective recovered) epidemic defined on a configuration model random graph, in which infective individuals can infect only th…
A stochastic SIR network epidemic model with preventive dropping of edges
Frank Ball, Tom Britton, Ka Yin Leung +1
A Markovian SIR (Susceptible-Infectious-Recovered) model is considered for the spread of an epidemic on a configuration model network, in which susceptible individuals may take pre…
An epidemic in a dynamic population with importation of infectives
Frank Ball, Tom Britton, Pieter Trapman
Consider a large uniformly mixing dynamic population, which has constant birth rate and exponentially distributed lifetimes, with mean population size . A Markovian SIR (suscept…
A network with tunable clustering, degree correlation and degree distribution, and an epidemic thereon
Frank Ball, Tom Britton, David Sirl
A random network model which allows for tunable, quite general forms of clustering, degree correlation and degree distribution is defined. The model is an extension of the configur…