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Stability analysis of a computer virus model in latent period

Author

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  • Hu, Zhixing
  • Wang, Hongwei
  • Liao, Fucheng
  • Ma, Wanbiao

Abstract

Based on a set of reasonable assumptions, the dynamical features of a novel computer virus model in latent period is proposed in this paper. Through qualitative analysis, we obtain the basic reproduction number R0. Furthermore, it is shown that the model have a infection-free equilibrium and a unique infection equilibrium (positive equilibrium). Using Lyapunov function theory, it is proved that the infection-free equilibrium is globally asymptotically stable if R0<1, implying that the virus would eventually die out. And by means of a classical geometric approach, the infection equilibrium is globally asymptotically stable if R0>1. Finally, the numerical simulations are carried out to illustrate the feasibility of the obtained results.

Suggested Citation

  • Hu, Zhixing & Wang, Hongwei & Liao, Fucheng & Ma, Wanbiao, 2015. "Stability analysis of a computer virus model in latent period," Chaos, Solitons & Fractals, Elsevier, vol. 75(C), pages 20-28.
    • Handle: RePEc:eee:chsofr:v:75:y:2015:i:c:p:20-28
    DOI: 10.1016/j.chaos.2015.02.001
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    References listed on IDEAS

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    1. Chenquan Gan & Xiaofan Yang & Wanping Liu & Qingyi Zhu & Xulong Zhang, 2012. "Propagation of Computer Virus under Human Intervention: A Dynamical Model," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-8, July.
    2. Shuxue Mao & Rui Xu & Zhe Li & Yunfei Li, 2011. "Global Stability of an Eco-Epidemiological Model with Time Delay and Saturation Incidence," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-22, November.
    3. Ren, Jianguo & Yang, Xiaofan & Yang, Lu-Xing & Xu, Yonghong & Yang, Fanzhou, 2012. "A delayed computer virus propagation model and its dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 45(1), pages 74-79.
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    Cited by:

    1. Kim, Kwang Su & Ibrahim, Malik Muhammad & Jung, Il Hyo & Kim, Sangil, 2020. "Mathematical analysis of the effectiveness of control strategies to prevent the autorun virus transmission propagation," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    2. Avcı, İbrahim & Hussain, Azhar & Kanwal, Tanzeela, 2023. "Investigating the impact of memory effects on computer virus population dynamics: A fractal–fractional approach with numerical analysis," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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