Open AccessDynamical patterns of epidemic outbreaks on scale-free networks with traffic flow
Author(s) -
Hu Heng-Kai,
Kai Wang,
Guang Yang,
Qian Liu,
Wei Pei,
Qiu Shen-Wei,
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.61.200209
Subject(s) - betweenness centrality , diffusion , computer science , routing (electronic design automation) , scale (ratio) , outbreak , statistical physics , the internet , traffic flow (computer networking) , infection rate , topology (electrical circuits) , statistics , mathematics , physics , computer network , biology , thermodynamics , virology , medicine , combinatorics , world wide web , centrality , surgery , quantum mechanics
A modified susceptible-infected (SI) model is developed in this paper. The mean field approximation method is further adopted. This present research is based on traffic-driven epidemic spreading behavior. Take MIP routing for example, diffusion coefficient τ, traffic generation rate λ, infection rate β and their relationship with the actual betweenness bk are re-explored under the SI model. Both the theoretical and experimental results indicate that under the same internet topology and routing strategy, the diffusion coefficient τ is inversely proportional to average traffic generation rate λ and infection rate β.