321 citations · 825 across the 47 of their papers we have counts for
23 papers · 1 filter
Epidemic models with digital and manual contact tracing
Tom Britton, Dongni Zhang
We analyze a Markovian SIR epidemic model where individuals either recover naturally or are diagnosed, leading to isolation and potential contact tracing. Our focus is on digital c…
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…
Directed preferential attachment models
Tom Britton
The directed preferential attachment model is revisited. A new exact characterization of the limiting in- and out-degree distribution is given by two \emph{independent} pure birth…
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…
Stochastic epidemics in a homogeneous community
Tom Britton, Etienne Pardoux
These notes describe stochastic epidemics in a homogenous community. Our main concern is stochastic compartmental models (i.e. models where each individual belongs to a compartment…
Who is the infector? General multi-type epidemics and real-time susceptibility processes
Tom Britton, Ka Yin Leung, Pieter Trapman
We couple a multi-type stochastic epidemic process with a directed random graph, where edges have random lengths. This random graph representation is used to characterise the fract…