| Dynamic properties of epidemic spreading on finite size complex networks |
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| 作者姓名： | 李旲 刘旸 山秀明 任勇 焦健 仇贲 |
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| 作者单位： | Department of Electronic Engineering, Tsinghua University,Beijing 100084, China;School of Business, Sun Yat-Sen University, Guangzhou 510275, China;Department of Electronic Engineering, Tsinghua University,Beijing 100084, China;Department of Electronic Engineering, Tsinghua University,Beijing 100084, China;Department of Electronic Engineering, Tsinghua University,Beijing 100084, China;Department of Electronic Engineering, Tsinghua University,Beijing 100084, China;Department of Electronic Engineering, Tsinghua University,Beijing 100084, China |
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| 基金项目： | Project supported by the National Nature Science Foundation of China (Grant Nos 90204004 and 90304005). |
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| 摘 要： | 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 （susceptibleinfected-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.
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| 关 键 词： | 流行散布 复合网络 拓扑结构 计算机病毒 Markov链 |
| 收稿时间： | 8/2/2004 12:00:00 AM |
| 修稿时间： | 2004-08-022005-05-17 |
Dynamic properties of epidemic spreading on finite size complex networks |
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| Li Ying,Liu Yang,Shan Xiu-Ming,Ren Yong,Jiao Jian and Qiu Ben.Dynamic properties of epidemic spreading on finite size complex networks[J].Chinese Physics B,2005,14(11):2153-2157. |
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| Authors: | Li Ying Liu Yang Shan Xiu-Ming Ren Yong Jiao Jian and Qiu Ben |
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| Institution: | Department of Electronic Engineering, Tsinghua University,Beijing 100084, China; Department of Electronic Engineering, Tsinghua University,Beijing 100084, China;School of Business, Sun Yat-Sen University, Guangzhou 510275, China |
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| 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. |
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| Keywords: | epidemic spreading complex networks SIS model |
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