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  1. Article

    Open Access

    Epidemic threshold in pairwise models for clustered networks: closures and fast correlations

    The epidemic threshold is probably the most studied quantity in the modelling of epidemics on networks. For a large class of networks and dynamics, it is well studied and understood. However, it is less so for...

    Rosanna C. Barnard, Luc Berthouze, Péter L. Simon in Journal of Mathematical Biology (2019)

  2. No Access

    Article

    Oscillating epidemics in a dynamic network model: stochastic and mean-field analysis

    An adaptive network model using SIS epidemic propagation with link-type-dependent link activation and deletion is considered. Bifurcation analysis of the pairwise ODE approximation and the network-based stochasti...

    András Szabó-Solticzky, Luc Berthouze, Istvan Z. Kiss in Journal of Mathematical Biology (2016)

  3. Article

    Open Access

    Beyond clustering: mean-field dynamics on networks with arbitrary subgraph composition

    Clustering is the propensity of nodes that share a common neighbour to be connected. It is ubiquitous in many networks but poses many modelling challenges. Clustering typically manifests itself by a higher tha...

    Martin Ritchie, Luc Berthouze, Istvan Z. Kiss in Journal of Mathematical Biology (2016)