具有非均匀传输和抗攻击差异的网络病毒传播模型  

Epidemic-spreading model for networks with different anti-attack abilities of nodes and nonuniform transmission of edges

作　　者：宋玉蓉[1] 蒋国平[1] 

机构地区：[1]南京邮电大学自动化学院,南京210003

出　　处：《物理学报》2010年第11期7546-7551,共6页Acta Physica Sinica

基　　金：国家教育部新世纪优秀人才支持计划(批准号:NCET-06-0510);国家自然科学基金(批准号:60874091);江苏省‘六大人才高峰’高层次人才项目(批准号:SJ209006);南京邮电大学引进人才科研基金(批准号:NY209021)资助的课题~~

摘　　要：针对实际网络中节点存在抗攻击差异以及边的非均匀传输等情况,基于平均场理论,提出具有抗攻击差异和非均匀传输特性的网络病毒传播平均场SIR模型.该模型中,通过引入脆弱性函数和传输函数,分别描述节点的抗攻击差异以及边的非均匀传输能力.通过对所提模型的分析,得到传播阈值的理论结果.理论分析和仿真表明,节点的抗攻击差异以及边的非均匀传输,都可导致出现正的传播阈值,使得病毒传播风险有效降低.With considering different anti-attack abilities of nodes and nonuniform transmission of edges in real networks,an SIR model is proposed to investigate the threshold behaviors of epidemic in scale-free networks based on the mean-field theory.In the proposed model,a vulnerability function related to node degree is introduced to describe the diversity of nodes’anti-attack abilities,and a transmission function related to node degree is also introduced to describe the nonlinear infectivity of nodes.Theoretical analyse and numerical simulations show that the diversity of node anti-attack ability and the nonuniform transmission of diseases on edges can yield a positive epidemic threshold,meaning that the risk of epidemic prevalence is reduced.

关 键 词：复杂网络 病毒传播 抗攻击能力 非均匀传输 

分 类 号：TP393.08[自动化与计算机技术—计算机应用技术]