69 citations · 167 across the 19 of their papers we have counts for
5 papers · 1 filter
Evaluation of vaccination strategies for SIR epidemics on random networks incorporating household structure
Frank Ball, David Sirl
This paper is concerned with the analysis of vaccination strategies in a stochastic SIR (susceptible infected removed) model for the spread of an epidemic amongst a pop…
The relationships between message passing, pairwise, Kermack-McKendrick and stochastic SIR epidemic models
Robert R. Wilkinson, Frank G. Ball, Kieran J. Sharkey
We consider a very general stochastic model for an SIR epidemic on a network which allows an individual's infectious period, and the time it takes to contact each of its neighbours…
Inferring in emerging epidemics - the effect of common population structure is small
Pieter Trapman, Frank Ball, Jean-Stéphane Dhersin +3
When controlling an emerging outbreak of an infectious disease it is essential to know the key epidemiological parameters, such as the basic reproduction number and the contr…
The deterministic Kermack-McKendrick model bounds the general stochastic epidemic
Robert R. Wilkinson, Frank G. Ball, Kieran J. Sharkey
We prove that, for Poisson transmission and recovery processes, the classic Susceptible Infected Recovered (SIR) epidemic model of Kermack and McKendrick provides, for…
Heterogeneous network epidemics: real-time growth, variance and extinction of infection
Frank Ball, Thomas House
Recent years have seen a large amount of interest in epidemics on networks as a way of representing the complex structure of contacts capable of spreading infections through the mo…