- Modeling and Stability Analysis of Worm Propagation in Wireless Sensor Network
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- 发表刊物：MATHEMATICAL PROBLEMS IN ENGINEERING
- 关键字：MALWARE PROPAGATION; DYNAMICAL ANALYSIS; EPIDEMIC MODEL; TRANSMISSION; PROTOCOLS; VIRUS; DELAY
- 摘要：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.
- 全部作者：Song Lipeng, Zhao Qingshan
- 第一作者：Feng Liping
- 通讯作者：Wang Hongbin
- 论文编号：129598
- 卷号：2015
- ISSN号：1024-123X
- 是否译文：否
- 发表时间：2015-01-01
