• Corpus ID: 119502623

Susceptible-infected-susceptible dynamics on the rewired configuration model

@article{StOnge2017SusceptibleinfectedsusceptibleDO,
  title={Susceptible-infected-susceptible dynamics on the rewired configuration model},
  author={Guillaume St‐Onge and Jean-Gabriel Young and Edward Laurence and Charles Murphy and Louis J. Dub'e},
  journal={arXiv: Physics and Society},
  year={2017}
}

• G. St‐Onge, Jean-Gabriel Young, +2 authors Louis J. Dub'e
• Published 6 January 2017
• Mathematics
• arXiv: Physics and Society

We investigate the susceptible-infected-susceptible dynamics on configuration model networks. In an effort for the unification of current approaches, we consider a network whose edges are constantly being rearranged, with a tunable rewiring rate $\omega$. We perform a detailed stationary state analysis of the process, leading to a closed form expression of the absorbing-state threshold for an arbitrary rewiring rate. In both extreme regimes (annealed and quasi-static), we recover and further improve the results of current approaches, as well as providing a natural interpolation for the intermediate regimes. For any finite $\omega$, our analysis predicts a vanishing threshold when the maximal degree $k_\mathrm{max} \to \infty$, a generalization of the result obtained with quenched mean-field theory for static networks.