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
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
  • [21] Hopf Bifurcation of a Nonresident Computer Virus Model with Delay
    Zizhen Zhang
    Yougang Wang
    Massimiliano Ferrara
    Analysis in Theory and Applications, 2018, 34 (03) : 199 - 208
  • [22] Hopf bifurcation in a love-triangle model with time delays
    Deng, Wei
    Liao, Xiaofeng
    Dong, Tao
    Zhou, Bo
    NEUROCOMPUTING, 2017, 260 : 13 - 24
  • [23] Hopf Bifurcation of a Type of Neuron Model with Multiple Time Delays
    Ma, Suqi
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2019, 29 (12):
  • [24] Hopf bifurcation analysis for a maglev system with two time delays
    Zhang, Lingling
    Huang, Lihong
    Mechanical Systems and Signal Processing, 2025, 224
  • [25] Stability and Hopf bifurcation analysis of an SVEIR epidemic model with vaccination and multiple time delays
    Zhang, Zizhen
    Kundu, Soumen
    Tripathi, Jai Prakash
    Bugalia, Sarita
    CHAOS SOLITONS & FRACTALS, 2020, 131
  • [26] Hopf bifurcation analysis in a Monod-Haldane predator-prey model with delays and diffusion
    Zhang, Li-Yuan
    APPLIED MATHEMATICAL MODELLING, 2015, 39 (3-4) : 1369 - 1382
  • [27] Hopf bifurcation of a VEIQS worm propagation model in mobile networks with two delays
    Yang, Fangfang
    Zhang, Zizhen
    Zeb, Anwar
    ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (06) : 5105 - 5114
  • [28] Stability and Hopf Bifurcation for a Delayed SLBRS Computer Virus Model
    Zhang, Zizhen
    Yang, Huizhong
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [29] Stability and Hopf Bifurcation in a Computer Virus Model with Multistate Antivirus
    Dong, Tao
    Liao, Xiaofeng
    Li, Huaqing
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [30] Hopf bifurcation and fixed-time stability of a reaction-diffusion echinococcosis model with mixed delays
    Chen, Weixin
    Xu, Xinzhong
    Zhang, Qimin
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2024, 223 : 1 - 19