344 citations · 885 across the 35 of their papers we have counts for
5 papers · 1 filter
Extinction times in the subcritical stochastic SIS logistic epidemic
Graham Brightwell, Thomas House, Malwina Luczak
Many real epidemics of an infectious disease are not straightforwardly super- or sub-critical, and the understanding of epidemic models that exhibit such complexity has been identi…
Higher-order structure and epidemic dynamics in clustered networks
Martin Ritchie, Luc Berthouze, Thomas House +1
Clustering is typically measured by the ratio of triangles to all triples, open or closed. Generating clustered networks, and how clustering affects dynamics on networks, is reason…
Endemic infections are always possible on regular networks
Charo I. Del Genio, Thomas House
We study the dependence of the largest component in regular networks on the clustering coefficient, showing that its size changes smoothly without undergoing a phase transition. We…
Dynamics of Stochastic Epidemics on Heterogeneous Networks
Matthew Graham, Thomas House
Epidemic models currently play a central role in our attempts to understand and control infectious diseases. Here, we derive a model for the diffusion limit of stochastic susceptib…
The rate of convergence to early asymptotic behaviour in age-structured epidemic models
Christopher A. Rhodes, Thomas House
Age structure is incorporated in many types of epidemic model. Often it is convenient to assume that such models converge to early asymptotic behaviour quickly, before the suscepti…