Open AccessStudy of epidemic spreading on scale-free networks with finite maximum dissemination
Author(s) -
Wei-dong Pei,
Zhongxin Liu,
Zengqiang Chen,
Zhen Yuan
Publication year - 2008
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.57.6777
Subject(s) - epidemic model , degree (music) , dissemination , computer science , epidemic disease , scale (ratio) , set (abstract data type) , complex network , scale free network , statistical physics , physics , virology , biology , telecommunications , population , quantum mechanics , medicine , environmental health , world wide web , acoustics , programming language
Under the condition of infinite dissemination of the networkit has been proved that the classical epidemic models do not give epidemic thresholds in the infinite scale-free networks. That isa disease can always propagate on the network no matter how low its spread speed. Howeverthe ability of individuals to spread virus in many real networks is not always infinite. If the maximum dissemination of individuals in the network is set finitethen there should exist a non-zero epidemic threshold for the above epidemic models. The relations between the epidemic threshold and the maximum disseminationthe relations between the degree of infection and the maximum dissemination are discussedmeanwhile the reason why classical epidemic models always over-predict the degree of infections in real networks is explained.