| Binary-state dynamics (such as the susceptible-infected-susceptible (SIS) model of disease spread,or Glauber spin dynamics) on random networks are accurately approximated using a master equation approach. Standard mean-field and pairwise theories are shown to result from seeking approximate solutions of the master equations. Applications to the calculation of SIS epidemic thresholds and critical points of non-equilibrium spin models are also demonstrated. [JP Gleeson, Phys. Rev. Lett., 107, 068701 (2011)] |
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