零日病毒时滞传播模型及稳定性分析

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。

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

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.