28 citations · 46 across the 17 of their papers we have counts for
5 papers · 2 filters
Critical Behaviour of the Partner Model
Eric Foxall
We consider a stochastic model of infection spread incorporating monogamous partnership dynamics. In previous work a basic reproduction number is defined with the property th…
Social contact processes and the partner model
Eric Foxall, Roderick Edwards, P. van den Driessche
We consider a stochastic model of infection spread on the complete graph on vertices incorporating dynamic partnerships, which we assume to be monogamous. This can be seen as a…
Duality and Complete Convergence for Multi-type Additive Growth Models
Eric Foxall
We consider a class of multi-type particle systems having similar structure to the contact process and show that additivity is equivalent to the existence of a dual process, extend…
The SEIS model, or, the contact process with a latent stage
Eric Foxall
The susceptible-exposed-infectious-susceptible (SEIS) model is well-known in mathematical epidemiology as a model of infection in which there is a latent period between the moment…
New Results for the Two-Stage Contact Process
Eric Foxall
Here we continue the work started by Steve Krone on the two-stage contact process. We give a simplified proof of the duality relation, and answer most of the open questions posed i…