138 citations · 139 across the 9 of their papers we have counts for
6 papers · 1 filter
The duration of an epidemic on a configuration model
Abid Ali Lashari, Ana Serafimović, Pieter Trapman
We consider the spread of a supercritical stochastic SIR (Susceptible, Infectious, Recovered) epidemic on a configuration model random graph. We mainly focus on the final stages of…
SIR epidemics and vaccination on random graphs with clustering
Carolina Fransson, Pieter Trapman
In this paper we consider SIR epidemics on random graphs with clustering. To incorporate group structure of the underlying social network, we use a generalized version of the confi…
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…
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…
Maximizing the size of the giant
Tom Britton, Pieter Trapman
We consider two classes of random graphs: Poissonian random graphs in which the vertices in the graph have i.i.d.\ weights distributed as , where .…
A useful relationship between epidemiology and queueing theory
Pieter Trapman, Martin Bootsma
In this paper we establish a relation between the spread of infectious diseases and the dynamics of so called M/G/1 queues with processor sharing. The in epidemiology well known re…