Dynamic properties of epidemic spreading on finite size complex networks
Li Ying (李旲)ab, Liu Yang (刘旸)a, Shan Xiu-Ming (山秀明)a, Ren Yong (任勇)a, Jiao Jian (焦健)a, Qiu Ben (仇贲)a
a Department of Electronic Engineering, Tsinghua University, Beijing 100084, China; b School of Business, Sun Yat-Sen University, Guangzhou 510275, China
Abstract The Internet presents a complex topological structure, on which computer viruses can easily spread. By using theoretical analysis and computer simulation methods, the dynamic process of disease spreading on finite size networks with complex topological structure is investigated. On the finite size networks, the spreading process of SIS (susceptible--infected--susceptible) model is a finite Markov chain with an absorbing state. Two parameters, the survival probability and the conditional infecting probability, are introduced to describe the dynamic properties of disease spreading on finite size networks. Our results can help understanding computer virus epidemics and other spreading phenomena on communication and social networks. Also, knowledge about the dynamic character of virus spreading is helpful for adopting immunity policy.
Received: 02 August 2004
Revised: 17 May 2005
Accepted manuscript online:
Fund: Project supported by the National Nature Science Foundation of China (Grant Nos 90204004 and 90304005).
Cite this article:
Li Ying (李旲), Liu Yang (刘旸), Shan Xiu-Ming (山秀明), Ren Yong (任勇), Jiao Jian (焦健), Qiu Ben (仇贲) Dynamic properties of epidemic spreading on finite size complex networks 2005 Chinese Physics 14 2153
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