| 小世界网络上随机SIS模型分析 |
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| 引用本文： | 李光正,史定华.小世界网络上随机SIS模型分析[J].计算机工程,2009,35(12):120-122. |
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| 作者姓名： | 李光正 史定华 |
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| 作者单位： | 1. 江苏财经职业技术学院基础部,淮安,223003
2. 上海大学数学系,上海,200444 |
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| 摘 要： | 考察小世界网络上疾病传播的随机SIS模型,使用拟平稳分布计算方法得到疾病传播稳态时患病节点数的分布。取分布的均值,得到与平均场方法相同的传播阈值。通过模拟所得的传染曲线解释现实传染过程中存在的波动性,传播稳态结果和平均场结果拟合较好,证实了平均场方法的合理性。
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| 关 键 词： | 小世界网络 SIS模型 Markov链 拟平稳分布 |
| 修稿时间： | |
Stochastic SIS Model Analysis on Small-world Network |
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| LI Guang-zheng,SHI Ding-hua.Stochastic SIS Model Analysis on Small-world Network[J].Computer Engineering,2009,35(12):120-122. |
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| Authors: | LI Guang-zheng SHI Ding-hua |
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| Affiliation: | 1.Foundation Department;Jiangsu Vocational and Technical College of Finance & Economics;Huaian 223003;2.Department of Mathematics;Shanghai University;Shanghai 200444 |
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| Abstract: | Stochastic SIS model of epidemic spreading on small-world network is studied.Using the computational method of quasi-stationary distribution,the distribution of the number of infective nodes at the steady state is obtained.Taking expectation of the distribution,the epidemic threshold is proved the same with the result of the mean-field method.Through simulating the epidemic curve of the stochastic SIS model,existing fluctuations in the real epidemic process is interpreted.The stationary epidemic results of ... |
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| Keywords: | small-world network SIS model Markov chain quasi-stationary distribution |
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