计算机应用与软件2024，Vol.41Issue(11)：341-349,9.DOI:10.3969/j.issn.1000-386x.2024.11.047
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
摘要
Abstract
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 threshold σ of 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 when σ<1,the disease-free equilibrium point is locally asymptotically stable;when σ>1,the positive equilibrium point is locally asymptotically stable.Increasing the isolation rate coefficient,descreasing the S-E state node infection rate coefficient ψ and increasing the node immunity rate ρ can 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Key words
Time delay/D-SEIQRS model/Stability/Routh-Hurwitz criterion/Hopf bifurcation分类
信息技术与安全科学引用本文复制引用
王俊岭,刘娟,罗智荣,刘波,王振东..含时滞的D-SEIQRS网络蠕虫传播动力学分析[J].计算机应用与软件,2024,41(11):341-349,9.基金项目
国家自然科学基金项目(62062037) （62062037）
江西省教育厅科技项目(GJJ13413). （GJJ13413）
