零日病毒时滞传播模型及稳定性分析  

An Analysis of Zero-Day Virus Transmission Model with Time-Delay and Stability

作　　者：仇铭阳 王刚[1] 孟庆微[1] 马润年[1] QIU Mingyang;WANG Gang;MENG Qingwei;MA Runnian(Information and Navigation School,Air Force Engineering University,Xi’an 710077,China)

机构地区：[1]空军工程大学信息与导航学院,西安710077

出　　处：《空军工程大学学报（自然科学版）》2022年第2期90-96,105,共8页Journal of Air Force Engineering University(Natural Science Edition)

摘　　要：考虑感染时滞因素对零日病毒传播的影响,研究平台动态防御背景下零日病毒时滞传播模型及其稳定性。首先,分析了时滞因素对零日病毒传播的影响,引入平台动态防御模式,建立了零日病毒时滞传播SIZRO模型;其次,根据Lyapunov稳定性判据,给出了系统平衡点的局部稳定性证明,分析了基本再生数R0及其对零日病毒传播的影响。最后,将SIZDR模型与SIZRO模型中感染节点数量进行比对,证明利用平台动态防御解决零日病毒传播问题的可行性。理论分析与仿真结果表明,所提模型能客观反映零日病毒时滞传播及免疫规律,平台动态防御可有效提升系统对零日病毒的防御效果。In consideration of the influence of infection time-delay on the transmission of zero-day virus,the time-delay transmission model of zero-day virus and its stability under the background of platform dynamic defense are studied,the following measures should be taken in the research.Firstly,the influence of time-delay on the propagation of zero-day virus is analyzed,and the Dynamic Platform Defense model is introduced,and a SIZRO model of zero-day virus propagation is established.Secondly,according to the Lyapunov stability criterion,the local stability of equilibrium point in system is proved,and the basic reproduction number and its effect on the zero-day virus transmission are analyzed.Finally,the number of infected nodes in SIZDR model being compared with that in SIZRO model,the feasibility of using platform dynamic defense to solve zero-day virus transmission problem is demonstrated.The theoretical analysis and simulation results show that the proposed model can objectively reflect the time-delay propagation and immune law of zero-day virus,and the Dynamic Platform Defense can effectively improve the defense effect of the system against zero-day virus.

关 键 词：零日病毒 时滞 传播模型 平台动态防御 稳定性 

分 类 号：TP309.5[自动化与计算机技术—计算机系统结构]