基于SEIS模型的计算机病毒防控分析  

Prevention and control analysis of computer viruses based on SEIS model

作　　者：张先休 熊江[1,2] 车杭骏 杨仪 ZHANG Xianxiu;XIONG Jiang;CHE Hangjun;YANG Yi(Key Laboratory of Intelligent Information Processing and Control of Chongqing Municipal Institutions of Higher Education,Chongqing Three Gorges University,Chongqing 404100,China;School of Computer Science and Engineering,Chongqing Three Gorges University,Chongqing 404100,China;School of Electronic Information Engineering,Southwest University,Chongqing 400715,China)

机构地区：[1]重庆三峡学院智能信息处理与控制重庆高校市级重点实验室,重庆404100 [2]重庆三峡学院计算机科学与工程学院,重庆404100 [3]西南大学电子信息工程学院,重庆400715

出　　处：《华中科技大学学报（自然科学版）》2023年第5期144-148,共5页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(62003281);重庆市自然科学基金资助项目(cstc2019jcyj-bshX0101);重庆市高校市级重点实验室基金资助项目([2017]3).

摘　　要：为控制计算机病毒在网络上的传播,考虑了刚联网的计算机可能携带潜伏状态的病毒及爆发状态的病毒可能转变成潜伏状态的病毒,提出一个计算机病毒传播模型.通过动力学分析得到,该模型在一定条件下存在一个有毒平衡点,且全局渐近稳定,随后的两个数值范例也验证了这一结论.讨论了清除网络病毒的问题,通过调整模型和深入分析可知,关键是防止携带潜伏状态病毒的计算机联网.综合分析与数值范例均表明:在一定条件下,只要能够防止外部病毒输入,网络上的病毒就能被清除.最后给出了控制计算机病毒在网络上传播的一些具体建议.To control the spread of computer viruses on the Internet,a propagation model of computer viruses was proposed,by considering the possibility of connecting the computers with latent viruses to the Internet and incorporating the possibility of those breaking-out viruses transformed into latent viruses.It could be concluded by dynamic analysis that there existed a viral equilibrium that was globally asymptotically stable for the model under certain conditions,which was also verified by two subsequent numerical examples.The problem of removing network viruses was discussed,and it could be known by adjusting the model and in-depth analysis that the key was to prevent the possibility of connecting the computers with latent viruses to the Internet.Both comprehensive analysis and numerical examples show that the network viruses can be removed as long as the input of external viruses can be prevented under certain conditions.Finally,some specific suggestions were given to control the spread of computer viruses on the Internet.

关 键 词：计算机病毒 潜伏机 传染性 平衡点 全局渐近稳定性 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]