Epidemics in networks: a master equation approach
Abstract
A problem closely related to epidemiology, where a subgraph of ‘infected’ links is defined inside a larger network, is investigated. This subgraph is generated from the underlying network by a random variable, which decides whether a link is able to propagate a disease/information. The relaxation timescale of this random variable is examined in both annealed and quenched limits, and the effectiveness of propagation of disease/information is analyzed. The dynamics of the model is governed by a master equation and two types of underlying network are considered: one is scalefree and the other has exponential degree distribution. We have shown that the relaxation timescale of the contagion variable has a major influence on the topology of the subgraph of infected links, which determines the efficiency of spreading of disease/information over the network.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 February 2016
 DOI:
 10.1088/17518113/49/6/065001
 arXiv:
 arXiv:1604.01049
 Bibcode:
 2016JPhA...49f5001C
 Keywords:

 Physics  Physics and Society
 EPrint:
 J. Phys. A 49, 065001 (2016)