Open AccessStudy of directed networks-based Email virus propagation model and its concussion attractor
Author(s) -
Deng Qi-Xiang,
Zhen Jia,
Min Xie,
Yanfei Chen
Publication year - 2013
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.62.020203
Subject(s) - attractor , computer science , shock (circulatory) , statistical physics , physics , mathematics , mathematical analysis , medicine
According to directed Email networks and the spread characteristics of Email virus, we study the behavior of the virus shock propagation in Email networks by using the mean field method to build delay differential equation model of viral spread. Then, the sufficient condition about the existence of shock solution's global attractor is given in theory. The existence and control of attractor are proved by numerical experiments. Our research indicates that spread probability between subgraphs determines the existence of attractor, and effective rate of spread determines the amplitude of attractor. Therefore these two parameters are significant in prediction of the scale of viral spread in networks.