138 citations · 1.1k across the 48 of their papers we have counts for
8 papers · 1 filter
Dynamic Survival Analysis for non-Markovian Epidemic Models
Francesco Di Lauro, Wasiur R. KhudaBukhsh, Istvan Z. Kiss +3
We present a new method for analyzing stochastic epidemic models under minimal assumptions. The method, dubbed DSA, is based on a simple yet powerful observation, namely that popul…
The impact of network properties and mixing on control measures and disease-induced herd immunity in epidemic models: a mean-field model perspective
Francesco Di Lauro, Luc Berthouze, Matthew D. Dorey +2
The contact structure of a population plays an important role in transmission of infection. Many ``structured models'' capture aspects of the contact structure through an underlyin…
PDE-limits of stochastic SIS epidemics on networks
Francesco Di Lauro, Jean-Charles Croix, Luc Berthouze +1
Stochastic epidemic models on networks are inherently high-dimensional and the resulting exact models are intractable numerically even for modest network sizes. Mean-field models p…
Consistent Approximation of Epidemic Dynamics on Degree-heterogeneous Clustered Networks
A. Bishop, I. Z. Kiss, T. House
Realistic human contact networks capable of spreading infectious disease, for example studied in social contact surveys, exhibit both significant degree heterogeneity and clusterin…
Fast variables determine the epidemic threshold in the pairwise model with an improved closure
István Z. Kiss, Joel C. Miller, Péter L. Simon
Pairwise models are used widely to model epidemic spread on networks. These include the modelling of susceptible-infected-removed (SIR) epidemics on regular networks and extensions…
A monotonic relationship between the variability of the infectious period and final size in pairwise epidemic modelling
Zsolt Vizi, István Z. Kiss, Joel C. Miller +1
For a recently derived pairwise model of network epidemics with non-Markovian recovery, we prove that under some mild technical conditions on the distribution of the infectious per…