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An SLBRS Model with Vertical Transmission of Computer Virus over the Internet

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Listed:
  • Maobin Yang
  • Zhufan Zhang
  • Qiang Li
  • Gang Zhang

Abstract

By incorporating an additional recovery compartment in the SLBS model, a new model, known as the SLBRS model, is proposed in this paper. The qualitative properties of this model are investigated. The result shows that the dynamic behavior of the model is determined by a threshold . Specially, virus-free equilibrium is globally asymptotically stable if , whereas the viral equilibrium is globally asymptotically stable if . Next, the sensitivity analysis of to four system parameters is also analyzed. On this basis, a collection of strategies are advised for eradicating viruses spreading across the Internet effectively.

Suggested Citation

  • Maobin Yang & Zhufan Zhang & Qiang Li & Gang Zhang, 2012. "An SLBRS Model with Vertical Transmission of Computer Virus over the Internet," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-17, September.
    • Handle: RePEc:hin:jnddns:925648
    DOI: 10.1155/2012/925648
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    Cited by:

    1. Hernández Guillén, J.D. & Martín del Rey, A., 2020. "A mathematical model for malware spread on WSNs with population dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).

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