High-Accuracy Approximation of Binary-State Dynamics on Networks

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.

Locations

• Physical Review Letters - View
• arXiv (Cornell University) - View - PDF
• OPAL (Open@LaTrobe) (La Trobe University) - View - PDF
• University of Limerick Institutional Repository (University of Limerick) - View - PDF
• PubMed - View
• DataCite API - View