138 citations · 264 across the 25 of their papers we have counts for
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math.PR2008★ 1 cited
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…
math.PR2008
Bounding basic characteristics of spatial epidemics with a new percolation model
Ronald Meester, Pieter Trapman
We introduce a new percolation model to describe and analyze the spread of an epidemic on a general directed and locally finite graph. We assign a two-dimensional random weight vec…
math.PR2008
Threshold behaviour and final outcome of an epidemic on a random network with household structure
Frank Ball, David Sirl, Pieter Trapman
This paper considers a stochastic SIR (susceptibleinfectiveremoved) epidemic model in which individuals may make infectious contacts in two ways, both within `households'…