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Modeling Peer‐to‐Peer Botnet on Scale‐Free Network

Author

Listed:
  • Liping Feng
  • Hongbin Wang
  • Qi Han
  • Qingshan Zhao
  • Lipeng Song

Abstract

Peer‐to‐peer (P2P) botnets have emerged as one of the serious threats to Internet security. To prevent effectively P2P botnet, in this paper, a mathematical model which combines the scale‐free trait of Internet with the formation of P2P botnet is presented. Explicit mathematical analysis demonstrates that the model has a globally stable endemic equilibrium when infection rate is greater than a critical value. Meanwhile, we find that, in scale‐free network, the critical value is very little. Hence, it is unrealistic to completely dispel the P2P botnet. Numerical simulations show that one can take effective countermeasures to reduce the scale of P2P botnet or delay its outbreak. Our findings can provide meaningful instruction to network security management.

Suggested Citation

  • Liping Feng & Hongbin Wang & Qi Han & Qingshan Zhao & Lipeng Song, 2014. "Modeling Peer‐to‐Peer Botnet on Scale‐Free Network," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:212478
    DOI: 10.1155/2014/212478
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    References listed on IDEAS

    as
    1. Song, Li-Peng & Jin, Zhen & Sun, Gui-Quan, 2011. "Modeling and analyzing of botnet interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 347-358.
    2. Yihong Li & Jinxiao Pan & Lipeng Song & Zhen Jin, 2013. "The Influence of User Protection Behaviors on the Control of Internet Worm Propagation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Yang, Lu-Xing & Yang, Xiaofan, 2013. "The effect of infected external computers on the spread of viruses: A compartment modeling study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6523-6535.
    4. Xie Han & Yi-Hong Li & Li-Ping Feng & Li-Peng Song, 2013. "Influence of Removable Devices′ Heterouse on the Propagation of Malware," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. Yang, Lu-Xing & Yang, Xiaofan, 2014. "The spread of computer viruses over a reduced scale-free network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 396(C), pages 173-184.
    6. Yihong Li & Jinxiao Pan & Lipeng Song & Zhen Jin, 2013. "The Influence of User Protection Behaviors on the Control of Internet Worm Propagation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-13, September.
    7. Xie Han & Yi-Hong Li & Li-Ping Feng & Li-Peng Song, 2013. "Influence of Removable Devices' Heterouse on the Propagation of Malware," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, November.
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