期刊文献+

具有时滞的SIR网络病毒传播模型的稳定性 被引量:1

Stability of a Delayed SIR Network Virus Transmission Model
下载PDF
导出
摘要 提出了一个具有时滞的SIR计算机网络病毒传播模型。以杀毒软件清理网络病毒所花费的时间周期时滞为变量,通过讨论模型特征方程的根的分布,研究了模型的局部稳定性和Hopf分支的存在性,并利用数值模拟证明了分析的理论结果。 A time-delay SIR computer network virus transmission model is presented.By regarding the time delay due to anti-virus software removing viruses as a bifurcation parameter,local stability of the model and the existence of Hopf bifurcation are studied.Finally,numerical simulations have been given to prove the analysis of the theory.
作者 郭成娟 GUO Cheng-juan(School of Management Science and Engineering,Anhui University of Finance and Economics,Bengbu 233030,China)
出处 《滨州学院学报》 2019年第2期53-56,共4页 Journal of Binzhou University
关键词 SIR模型 稳定性 时滞 HOPF分支 SIR model stability delay Hopf bifurcation
  • 相关文献

参考文献8

二级参考文献69

  • 1李哲,封汉颍.一类改进的计算机病毒传播模型[J].微计算机信息,2008,24(12):64-66. 被引量:3
  • 2李晓丽,王丽娜.网络中的计算机病毒传播模型[J].计算机工程,2005,31(18):153-155. 被引量:19
  • 3张海峰,傅新楚.含有免疫作用的SIR传染病模型在复杂网络上的动力学行为[J].上海大学学报(自然科学版),2007,13(2):189-192. 被引量:21
  • 4PERDISCI R, LANZI A, LEE W. Classification of packed executables for accurate computer virus detection[J]. Pattern Recognition Letters, 2008, 29(14): 1941-1946.
  • 5WIERMAN J C, MARCHETTE D J. Modeling computer virus prevalence with a susceptible-infected-susceptible model with reintroduction[J]. Computational Statistics and Data Analysis, 2004, 45(1): 3-23.
  • 6KEPHART J O, WHITE S R. Directed graph epidemiological model of computer viruses[C] // Proceedings of the 1991 IEEE Symposium on Security and Privacy. Washington DC: IEEE Computer Society, 1991: 343-359.
  • 7HAN XIE, TAN QIULIN. Dynamical behavior of computer virus on Internet[J]. Applied Mathematics and Computation, 2010,217(6): 1-7.
  • 8GOLDBERG L A, GOLDBERG P W, PHILLIPS C A, et al. Constructing computer virus phylogenies[J]. J Algorithms,1998,26: 188-208.
  • 9ZOU C C, GONG W B,TOWSLEY D,et al. Code red worm propagation modeling and analysis[C]//CCS:02. 2002:18-22.
  • 10DATTA S, WANG H. The effectiveness of vaccinations on the spread of email-borne computer viruses[C]//IEEE CCECE/CCGEI. Saskatoon.. 2005: 219-223.

共引文献70

同被引文献16

引证文献1

二级引证文献5

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部