一类具有个体差异性和非近邻传播特性的SIRS计算机病毒传播模型

A MODEL OF SIRS COMPUTER VIRUS SPREADING WITH INDIVIDUAL DIFFERENCES AND NON-NEAREST NEIGHBOUR PROPAGATION

已有的SIRS模型认为感染个体被治愈后具有免疫能力,没有考虑个体之间的差异性以及实际节点之间的拓扑关系划分的不确定性。针对上述的不足,结合实际网络传播情况,分别引入直接免疫概率α、被治愈但不具有免疫力的概率μ2以及非相邻节点感染概率β1。提出一类具有个体差异性和非近邻传播特性的SIRS模型,该模型充分考虑了网络中节点在病毒免疫过程中存在的差异性以及非近邻传播特性对病毒传播的影响。数值模拟得到的结果和理论分析表明,通过增加网络中的直接免疫强度以及抑制非近邻传播的发生能够有效控制病毒的传播。

Existing SIRS model believes that the infected individuals will be immune after being cured but does not consider the differences between the individuals as well as the uncertainty of topological relations between the actual nodes.To address the above deficiencies,and in combination with actual network dissemination,we introduce respectively the direct immunity probability α,the cured but without immunity probability μ2 and the non-nearest neighbour nodes infection probability β1,and propose a class of SIRS model with individual differences and non-nearest neighbour propagation characteristics.The model takes full account of differences of network nodes existing in the process of viral immune and the impact of non-nearest neighbour propagation characteristics on the spreading of virus.The results obtained from numerical simulation and theoretical analysis all show that by increasing the direct immunity intensity in network and inhibiting the non-nearest neighbours propagation,virus spreading can be effectively controlled.