宋礼鹏
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Modeling and Stability Analysis of Worm Propagation in Wireless Sensor Network
  • Journal:
    MATHEMATICAL PROBLEMS IN ENGINEERING
  • Key Words:
    MALWARE PROPAGATION; DYNAMICAL ANALYSIS; EPIDEMIC MODEL; TRANSMISSION; PROTOCOLS; VIRUS; DELAY
  • Abstract:
    An improved SIRS model considering communication radius and distributed density of nodes is proposed. The proposed model captures both the spatial and temporal dynamics of worms spread process. Using differential dynamical theories, we investigate dynamics of worm propagation to time in wireless sensor networks (WSNs). Reproductive number which determines global dynamics of worm propagation in WSNs is obtained. Equilibriums and their stabilities are also found. If reproductive number is less than one, the infected fraction of the sensor nodes disappears and if the reproduction number is greater than one, the infected fraction asymptotically stabilizes at the endemic equilibrium. Based on the reproduction number, we discuss the threshold of worm propagation about communication radius and distributed density of nodes in WSNs. Finally, numerical simulations verify the correctness of theoretical analysis.
  • All the Authors:
    Song Lipeng, Zhao Qingshan
  • First Author:
    Feng Liping
  • Correspondence Author:
    Wang Hongbin
  • Document Code:
    129598
  • Volume:
    2015
  • ISSN No.:
    1024-123X
  • Translation or Not:
    no
  • Date of Publication:
    2015-01-01

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