摘要： 基于现实网络病毒的潜伏性以及网络中不同状态节点移出网络概率的不相等性,根据传播动力学理论,建立一个具有不同移出率和直接免疫的网络时滞SIR病毒模型。利用时滞微分方程的稳定性有关理论,分析模型的动力学行为,为有效控制、消除计算机病毒在网络上的传播提供理论依据。通过时滞对模型解的影响分析,表明在网络病毒传播控制中,提高病毒检测识别技术的重要性,并且该模型能够有效地隔离染病节点。
关键词:
计算机病毒,
时滞,
全局稳定,
局部稳定,
SIR模型,
数值模拟
Abstract: In reality,the network virus is latent and the probabilities of removing different state nodes from the network are not equal.According to the theory of transmission dynamics,a network SIR virus model with time delay is established with direct immunity and different removal rate.Based on the theory of delay differential equations about stability,this paper analyzes the dynamic behavior of the model,and provides theoretical basis to effectively control and eliminate the spread of computer virus in the network.After analyzing the time delay effect on the solution of the model,it is illustrated that the improvement of virus detection technology is necessary,and the proposed model can effectively isolate the infected nodes in the process of controlling virus transmission in the network.
Key words:
computer virus,
time delay,
global stability,
local stability,
SIR model,
numerical simulation
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