含时滞的D-SEIQRS网络蠕虫传播动力学分析  

ANALYSIS OF D-SEIQRS WORM PROPAGATION DYNAMICS WITH TIME DELAY

作　　者：王俊岭[1] 刘娟 罗智荣 刘波 王振东 Wang Junling;Liu Juan;Luo Zhirong;Liu Bo;Wang Zhendong(School of Information Engineering,Jiangxi University of Science and Technology,Ganzhou 341000,Jiangxi,China)

机构地区：[1]江西理工大学信息工程学院,江西赣州341000

出　　处：《计算机应用与软件》2024年第11期341-349,共9页Computer Applications and Software

基　　金：国家自然科学基金项目(62062037);江西省教育厅科技项目(GJJ13413)。

摘　　要：针对杀毒软件查杀新型病毒所需时间以及节点的不同宕机率,提出一类含时滞的D-SEIQRS网络蠕虫传播动力学模型。基于网络蠕虫的传播阈值σ,分析无病平衡点和正平衡点稳定性,并计算出Hopf分岔的时滞临界点;研究三个节点状态转移参数对网络蠕虫病毒传播的影响。仿真结果表明,当σ<1时,无病平衡点局部渐近稳定;当σ>1时,正平衡点局部渐近稳定;通过增大隔离率系数Ψ,降低S-E状态节点感染率系数β并提高节点免疫率ρ,可以有效控制蠕虫病毒在网络中的传播。Aimed at the time required for anti-virus software to check and kill new viruses and the different downtime rates of nodes,a class of D-SEIQRS network worm propagation dynamics model with time delay is proposed.Based on the propagation thresholdσof the network worm,the stability of the disease-free equilibrium point and the positive equilibrium point was analyzed,and the time delay critical point of the Hopf bifurcation was calculated.The influence of the three node transfer parameters on the propagation of the network worm was given.The simulation results show that whenσ<1,the disease-free equilibrium point is locally asymptotically stable;whenσ>1,the positive equilibrium point is locally asymptotically stable.Increasing the isolation rate coefficient,descreasing the S-E state node infection rate coefficientψand increasing the node immunity rateρcan effectively control the spread of worms in the network.

关 键 词：时滞 D-SEIQRS模型 稳定性 Routh-Hurwitz判据 HOPF分岔 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]