Title
Contagion processes on the static and activity driven coupling networks
Abstract
The evolution of network structure and the spreading of epidemic are common coexistent dynamical processes. In most cases, network structure is treated as either static or time-varying, supposing the whole network is observed in the same time window. In this paper, we consider the epidemics spreading on a network which has both static and time-varying structures. Meanwhile, the time-varying part and the epidemic spreading are supposed to be of the same time scale. We introduce a static and activity-driven coupling (SADC) network model to characterize the coupling between the static ("strong") structure and the dynamic ("weak") structure. Epidemic thresholds of the SIS and SIR models are studied using the SADC model both analytically and numerically under various coupling strategies, where the strong structure is of homogeneous or heterogeneous degree distribution. Theoretical thresholds obtained from the SADC model can both recover and generalize the classical results in static and time-varying networks. It is demonstrated that a weak structure might make the epidemic threshold low in homogeneous networks but high in heterogeneous cases. Furthermore, we show that the weak structure has a substantive effect on the outbreak of the epidemics. This result might be useful in designing some efficient control strategies for epidemics spreading in networks.
Year
DOI
Venue
2015
10.1103/PhysRevE.93.032308
PHYSICAL REVIEW E
Field
DocType
Volume
Statistical physics,Coupling,Homogeneous,Degree distribution,Classical mechanics,Network model,Physics,Network structure
Journal
93
Issue
ISSN
Citations 
3
1539-3755
1
PageRank 
References 
Authors
0.36
0
6
Name
Order
Citations
PageRank
yanjun lei110.36
X. Jiang2213.05
quantong guo310.36
yifang ma460.81
meng li510.36
Zhiming Zheng612816.80