考虑交通流量的复杂网络病毒传播行为研究  

Epidemic spreading on complex networks with traffic flow

作　　者：王亚奇[1] 蒋国平[1,2] 

机构地区：[1]南京邮电大学控制与智能技术研究中心,江苏南京210003 [2]南京邮电大学自动化学院,江苏南京210003

出　　处：《系统工程学报》2010年第6期773-778,共6页Journal of Systems Engineering

基　　金：国家自然科学基金资助项目(60874091);江苏省高校自然科学基金基础研究计划资助项目(08KJD510022);江苏省‘六大人才高峰’高层次人才计划资助项目(SJ209006);南京邮电大学引进人才计划资助项目(NY209021);江苏省普通高校研究生科研创新计划资助项目(CX10B_193Z)

摘　　要：研究网络交通流量对病毒传播行为的影响,基于平均场理论,提出一种新的susceptible-infected(SI)传播模型.理论分析表明,随着网络交通流量的增大,病毒在网络中的传播速率明显增加,从而显著增强了病毒爆发的危险性.研究还发现,均匀网络中病毒爆发的时间尺度与节点平均算法介数的倒数成正比;无标度网络中病毒爆发的时间尺度则正比于节点算法介数分布的1、2阶矩之比;此外,病毒在无标度网络上的传播动力学行为不具有明显的层次性,这显然与以往有关SI传播模型的研究不同.通过数值仿真对理论分析进行了验证.In this paper,based on the mean-field theory,a new susceptible-infected（SI） model is proposed to study epidemic spreading in the networks with traffic flow.Theoretical analysis shows that as the network traffic flow increases,the epidemic spreading in the networks is obviously accelerated,and therefore the risk of outbreak of epidemics is significantly enhanced.It is also found that the epidemic outbreak＇s time scale in homogeneous networks is inversely proportional to the node average algorithm betweenness,and the epidemic outbreak＇s time scale in scale-free networks is proportional to the ratio between the first and second moments of the nodes＇s algorithm betweenness distribution.Moreover,the dynamical behaviors of epidemic spreading on scale-free networks have not a striking hierarchy,which is different from the previous studies on SI model.Numerical simulations have confirmed the theoretical results.

关 键 词：病毒传播 交通流量 均匀网络 无标度网络 

分 类 号：TN915.08[电子电信—通信与信息系统]