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中文摘要：
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.
英文摘要：
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.
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