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q-bio.PE2018
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…
math.DS2018
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…
physics.soc-ph2018
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…