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arXiv 2011-04-08 DOI 10.1103/PhysRevLett.107.068701 0 views

High-accuracy approximation of binary-state dynamics on networks

Gleeson, James P.

Original · EN

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 master equations. 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.

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