Unification of theoretical approaches for epidemic spreading on complex networks
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 realworld 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 meanfield, the heterogeneous meanfield, the quench meanfield, dynamical messagepassing, 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.
 Publication:

Reports on Progress in Physics
 Pub Date:
 March 2017
 DOI:
 10.1088/13616633/aa5398
 arXiv:
 arXiv:1612.04216
 Bibcode:
 2017RPPh...80c6603W
 Keywords:

 Physics  Physics and Society
 EPrint:
 5 figures