两类非线性WSI计算机病毒传播模型  

Two Types of Nonlinear WSI Computer Virus Propagation Models

作　　者：罗旭航 祝清意 刘煜杭 LUO Xuhang;ZHU Qingyi;LIU Yuhang(School of Cyber Security and Information Law,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)

机构地区：[1]重庆邮电大学网络空间安全与信息法学院,重庆400065

出　　处：《复杂系统与复杂性科学》2025年第1期59-66,共8页Complex Systems and Complexity Science

基　　金：国家自然科学基金青年项目(61903056)。

摘　　要：考虑到计算机网络结构以及计算机病毒传播情况对用户意识的影响,建立了两类复杂网络(包括同质网络和异质网络)中具有非线性感染率的WSI(Weakly-protected Strongly-protected Infected)计算机病毒传播模型。分别计算了两类传播模型的平衡点和基本再生数,给出了稳定性证明。最后通过数值仿真实验验证了两类模型的稳定性,分析了非线性感染率对计算机病毒传播的影响,以及将两类模型的计算机病毒传播情况和基本再生数进行对比,发现网络的异质性能加剧计算机病毒传播。Considering the influence of computer network structure and the effect of computer virus propagation on user awareness,two WSI(Weakly-protected Strongly-protected Infected)computer virus propagation models with nonlinear infection rate in two types of complex networks(including homogeneous and heterogeneous networks)are developed.The equilibrium points and basic regeneration numbers of the two types of propagation models are given respectively,together with stability proofs.Finally,numerical simulation experiments are conducted to verify the stability of the two types of models and to analyze the effect of nonlinear infection rates on the spread of computer viruses,as well as to compare the spread of computer viruses from the two types of models with the basic regeneration numbers and we can find that the heterogeneity of networks can exacerbate the spread of computer viruses.

关 键 词：计算机病毒 传播模型 网络结构 非线性感染率 用户意识 

分 类 号：TP393.0[自动化与计算机技术—计算机应用技术] O29[自动化与计算机技术—计算机科学与技术]