SEIQR移动网络蠕虫传播模型的时滞效应  

Time Lag Effect of a SEIQR Mobile Network Worm Propagation Model

作　　者：杨芳芳 门秀萍[1] 段爱华[1] 张子振[1] YANG Fang-fang;MEN Xiu-ping;DUAN Ai-hua;ZHANG Zi-zhen(Management Science and Engineering,Anhui University of Finance and Economics,Bengbu 233030,China)

机构地区：[1]安徽财经大学管理科学与工程学院,安徽蚌埠233030

出　　处：《枣庄学院学报》2020年第5期31-37,共7页Journal of Zaozhuang University

基　　金：安徽省高校省级自然科学重点项目(项目编号:KJ2019A0655,KJ2019A0656,KJ2019A0662);安徽财经大学研究生科研创新基金项目(项目编号:ACYC2019215);安徽省高校自然科学研究重点项目(项目编号:KJ2020A0002).

摘　　要：目前已有的蠕虫病毒传播模型大多没有考虑防病毒软件等一些防御措施所带来时滞问题,故已有模型并不能提供很好的有效措施.本文研究一类时滞SEIQR移动网络蠕虫传播模型,以蠕虫潜伏期时滞为分岔参数,推导出模型局部渐近稳定的充分条件,计算出产生Hopf分岔的时滞临界点,并对得出的结论进行了模拟验证.In view of the existing worm propagation models,most of them don't consider the time-delay problem caused by some defense measures such as the application of anti-virus software,which makes the existing models can't provide very good effective measures.Therefore,this paper studies a kind of delay SEIQR mobile network worm propagation model.Taking the latent time delay of worm as the bifurcation parameter,the sufficient conditions for the local asymptotic stability of the model are derived,and the critical point of time delay for Hopf bifurcation is calculated.Finally,the conclusion is verified by simulation.

关 键 词：时滞 SEIQR模型 稳定性 

分 类 号：TP309.5[自动化与计算机技术—计算机系统结构]