Hopf Bifurcation Analysis of Computer Virus Propagation Model with Time Delays and Diffusion Effect

被引：0
|
作者：
Ju, Yawen [1 ,2 ]
Chen, Jing [1 ,2 ]
Xiao, Min [1 ,2 ]
Huang, Xixi [1 ,2 ]
Wang, Chenxing [1 ,2 ]
机构：
[1] Nanjing Univ Posts & Telecommun, Coll Automat, Nanjing 210023, Peoples R China
[2] Nanjing Univ Posts & Telecommun, Coll Artificial Intelligence, Nanjing 210023, Peoples R China
来源：
2023 35TH CHINESE CONTROL AND DECISION CONFERENCE, CCDC | 2023年
基金：
中国国家自然科学基金;
关键词：
SIQ computer virus propagation model; Hopf stability bifurcation; diffusion effect; time delay;
D O I：
10.1109/CCDC58219.2023.10326835
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a SIQ computer virus propagation model with time delays and diffusion effect is proposed, which can describe Internet virus propagation more accurately. Then, the local stability of the steady state and the existence of Hopf bifurcation are analyzed. The conditions that ensure the stability of the system and the existence of Hopf bifurcation are given. Finally, the correctness of the theoretical analysis is verified by some numerical simulations.
引用
收藏
页码：138 / 143
页数：6
相关论文
共 50 条
  • [31] Stability and Hopf Bifurcation Analysis of a Gene Expression Model with Diffusion and Time Delay
    Peng, Yahong
    Zhang, Tonghua
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [32] Hopf bifurcation analysis for a model of RNA silencing with two delays
    Yu, Tingting
    Zhang, Xian
    Zhang, Guodong
    Su, Min
    26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, : 3167 - 3172
  • [33] Synchronized Hopf bifurcation analysis in a neural network model with delays
    Wei, JJ
    Yuan, Y
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 312 (01) : 205 - 229
  • [34] Stability and Hopf bifurcation analysis on Goodwin model with three delays
    Cao, Jianzhi
    Jiang, Haijun
    CHAOS SOLITONS & FRACTALS, 2011, 44 (08) : 613 - 618
  • [35] Hopf Bifurcation Analysis of a Gene Regulatory Network Mediated by Small Noncoding RNA with Time Delays and Diffusion
    Li, Chengxian
    Liu, Haihong
    Zhang, Tonghua
    Yan, Fang
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (13):
  • [36] Stability and Hopf bifurcation of an HIV infection model with two time delays
    Yang, Yu
    Huang, Gang
    Dong, Yueping
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2023, 20 (02) : 1938 - 1959
  • [37] GLOBAL STABILITY AND HOPF BIFURCATION OF AN SIS EPIDEMIC MODEL WITH TIME DELAYS
    YUAN Sanling MA Zhien (Department of Applied Mathematics
    Journal of Systems Science & Complexity, 2001, (03) : 327 - 336
  • [38] Stability and Hopf bifurcation in a model of gene expression with distributed time delays
    Song, Yongli
    Han, Yanyan
    Zhang, Tonghua
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 243 : 398 - 412
  • [39] Dynamics analysis of a new fractional-order SVEIR-KS model for computer virus propagation: Stability and Hopf bifurcation
    Yang, Linji
    Song, Qiankun
    Liu, Yurong
    NEUROCOMPUTING, 2024, 598
  • [40] Stability and Hopf Bifurcation Analysis in Hindmarsh-Rose Neuron Model with Multiple Time Delays
    Hu, Dongpo
    Cao, Hongjun
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2016, 26 (11):
12345