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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.
According to the average field theory, a network average SIR model with anti-attack and non-uniform transmission characteristics is proposed to deal with the difference of anti-attack and non-uniform transmission of nodes in real network. In this model, Function and transfer function, respectively describe the node’s attack-resistance difference and the edge’s non-uniform transmission ability.The theoretical results of the propagation threshold are obtained through the analysis of the proposed model.Theoretical analysis and simulation show that the node’s attack- Uniform transmission can lead to a positive transmission threshold, effectively reducing the risk of transmission of the virus.