[1]田飞[],陈翰雄[],黄雅云[],等. 重置概率可变的自适应网络病毒传播研究[J].计算机技术与发展,2015,25(10):140-144.
　TIAN Fei[],CHEN Han-xiong[],HUANG Ya-yun[],et al. Research on Epidemic Spreading on Adaptive Network with Varied Resetting Probability[J].,2015,25(10):140-144.
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 重置概率可变的自适应网络病毒传播研究()
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《计算机技术与发展》[ISSN:1006-6977/CN:61-1281/TN]

卷:
25
期数:
2015年10期
页码:
140-144
栏目:
安全与防范
出版日期:
2015-10-10

文章信息/Info

Title:
 Research on Epidemic Spreading on Adaptive Network with Varied Resetting Probability
文章编号:
1673-629X（2015)10-0140-05
作者:
 田飞[1];  陈翰雄[2] ; 黄雅云[2] ; 陈春玲[1]
 1.南京邮电大学 计算机学院；2.南京邮电大学 通信与信息工程学院
Author(s):
 TIAN Fei[1] ; CHEN Han-xiong[2] ; HUANG Ya-yun[2] ; CHEN Chun-ling[1]
关键词:
 ; 自适应网络; 重置概率; 传播临界值; 稳定性
Keywords:
 ; adaptive network; resetting probability; epidemic threshold; stability
分类号:
TP39
文献标志码:
A
摘要:
 自适应网络是反映网络动力学和节点动力学相互作用、相互反馈的网络。针对链接重置概率与病毒传播率呈线性正相关关系的自适应网络，建立了基于可变重置概率的自适应网络SIS病毒传播模型的动力学方程。利用非线性微分动力学系统，研究病毒在自适应复杂网络上的传播行为，并通过分析非线性系统对应的雅可比矩阵特征方程，研究系统平衡点的存在条件并对其作稳定性分析。研究发现，当病毒传播阈值R0<1时，系统的无病平衡点局部渐进稳定，不存在地方病平衡点；当病毒传播阈值R0>1时，系统无病平衡点不稳定，存在惟一的地方病平衡点，且该地方病平衡点局部渐进稳定。最后通过数值仿真验证了所得结论的正确性。结果表明，当病毒传播阈值小于1时，病毒将逐渐消亡；当病毒传播阈值大于1时，网络中的病毒将持续传播。
Abstract:
 The adaptive network is the kind of network that reflects the relation of interaction and mutual feedback between node dynamics and network dynamics. Based on a specific adaptive epidemic spreading model,in which the resetting probability is affected significantly, linearly and positively by the virus transmission rate,a modified susceptible-infected-susceptible epidemic model with varied resetting probability in adaptive networks is presented. Epidemic spreading dynamics is studied by nonlinear differential dynamic system. The exist-ing condition and local stability of the equilibrium in this network model are investigated by analyzing its corresponding characteristic e-quation of Jacobian Matrix of the nonlinear system. It is shown that when the epidemic threshold R0 < 1, the disease-free equilibrium is asymptotically locally stable and endemic equilibrium does not exist. And if R0 > 1,the disease-free equilibrium is not stable and there exists the only asymptotically locally stable endemic equilibrium. Numerical simulations are given to verify the results of theoretical analy-sis. The result shows that when the epidemic threshold is less than 1,the disease will die out,and when the epidemic threshold is greater than 1,the disease will continue to spread in the network.

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更新日期/Last Update: 2015-11-13