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arXiv · 1104.1537

High-accuracy approximation of binary-state dynamics on networks

James P. Gleeson
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Abstract

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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James P. Gleeson. 2011-07-14. High-accuracy approximation of binary-state dynamics on networks. https://doi.org/10.1103/physrevlett.107.068701

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