Open AccessEpidemic spreading on scale-free networks with traffic flow
Author(s) -
Qiu Shen-Wei,
Kai Wang,
Qian Liu,
Wei Pei,
Hu Hen-Kai,
Guang Yang,
Wei Cheng-jian,
Yifeng Zhang
Publication year - 2012
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.61.150201
Subject(s) - betweenness centrality , exponent , node (physics) , topology (electrical circuits) , mean field theory , complex network , traffic flow (computer networking) , computer science , statistical physics , mathematics , physics , statistics , combinatorics , computer network , philosophy , linguistics , quantum mechanics , centrality
The infectivity of a node is determined by its actual betweenness bk in the epidemic model based on traffic-flow other than degree k which is different from the classical epidemic models. Utilizing the mean-field theory, we propose a modified SIS epidemic model based on traffic-flow. With this model, taking MIP route as an example, we re-study the relationship among spreading probability β, traffic generation rate λ, epidemic threshold βc, the stationary density of infected nodes ρ. Both theoretical analysis and experimental results show that βc is the ratio of the mean of the actual betweenness bk > to its mean square bk2 >, when network topology and route strategy are given. Moreover, the stationary density of infected notes ρ behaves as power-law exponent with the reciprocal of the product of the spreading probability β , the traffic generation rate λ and the mean of the actual betweenness bλ=1 >.