18 citations · 25 across the 3 of their papers we have counts for
8 papers
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…
A new method for the robust characterisation of pairwise statistical dependency between point processes
Antoine Messager, Nicos Georgiou, Luc Berthouze
The robust detection of statistical dependencies between the components of a complex system is a key step in gaining a network-based understanding of the system. Because of their s…
Mapping structural diversity in networks sharing a given degree distribution and global clustering: Adaptive resolution grid search evolution with Diophantine equation-based mutations
Peter Overbury, István Z. Kiss, Luc Berthouze
Methods that generate networks sharing a given degree distribution and global clustering can induce changes in structural properties other than that controlled for. Diversity in st…
Epidemic threshold in pairwise models for clustered networks: closures and fast correlations
Rosanna C. Barnard, Luc Berthouze, Péter L. Simon +1
The epidemic threshold is probably the most studied quantity in the modelling of epidemics on networks. For a large class of networks and dynamics the epidemic threshold is well st…
Inferring the time-varying functional connectivity of large-scale computer networks from emitted events
Antoine Messager, George Parisis, Istvan Z Kiss +3
We consider the problem of inferring the functional connectivity of a large-scale computer network from sparse time series of events emitted by its nodes. We do so under the follow…