Unification of theoretical approaches for epidemic spreading on complex networks. (8th February 2017)

• Record Type: Journal Article
• Authors: Wang, Wei; Tang, Ming; Eugene Stanley, H; Braunstein, Lidia A
• Is Part Of: Reports on progress in physics. Volume 80:Number 3(2017:Mar.)
• Publication Date: 2017-02-08
• Subjects: complex networks -- epidemic spreading -- phase transition -- theoretical approaches; Physics -- Periodicals; 530.05
• DOI: 10.1088/1361-6633/aa5398
• Languages: English
• ISSNs: 0034-4885

Abstract

Abstract: Models of epidemic spreading on complex networks have attracted great attention among researchers in physics, mathematics, and epidemiology due to their success in predicting and controlling scenarios of epidemic spreading in real-world scenarios. To understand the interplay between epidemic spreading and the topology of a contact network, several outstanding theoretical approaches have been developed. An accurate theoretical approach describing the spreading dynamics must take both the network topology and dynamical correlations into consideration at the expense of increasing the complexity of the equations. In this short survey we unify the most widely used theoretical approaches for epidemic spreading on complex networks in terms of increasing complexity, including the mean-field, the heterogeneous mean-field, the quench mean-field, dynamical message-passing, link percolation, and pairwise approximation. We build connections among these approaches to provide new insights into developing an accurate theoretical approach to spreading dynamics on complex networks.