High-Accuracy Approximation of Binary-State Dynamics on Networks

被引：180

作者：

Gleeson, James P. ^{[1
]}

机构：

[1] Univ Limerick, Dept Math & Stat, MACSI, Limerick, Ireland

来源：

PHYSICAL REVIEW LETTERS | 2011年 / 107卷 / 06期

基金：

爱尔兰科学基金会;

关键词：

CONTACT PROCESS; SPREAD; MODELS;

D O I：

10.1103/PhysRevLett.107.068701

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 nonequilibrium spin models are also demonstrated.

引用

页数：4

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