26 citations · 29 across the 15 of their papers we have counts for
19 papers
On parameter identifiability in network-based epidemic models
István Zoltán Kiss, Péter L. Simon
Many models in mathematical epidemiology are developed with the aim to provide a framework for parameter estimation and then prediction. It is well-known that parameters are not al…
Learning the parameters of a differential equation from its trajectory via the adjoint equation
Imre Fekete, András Molnár, Péter L. Simon
The paper contributes to strengthening the relation between machine learning and the theory of differential equations. In this context, the inverse problem of fitting the parameter…
Theoretical and numerical considerations of the assumptions behind triple closures in epidemic models on networks
Nicos Georgiou, IstvÁn Z. Kiss, PÉter Simon
Networks are widely used to model the contact structure within a population and in the resulting models of disease spread. While networks provide a high degree of realism, the anal…
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…
Detailed analytic study of the compact pairwise model for SIS epidemic propagation on networks
Noémi Nagy, Péter L. Simon
The global behaviour of the compact pairwise approximation of SIS epidemic propagation on networks is studied. It is shown that the system can be reduced to two equations enabling…
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…