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Modeling and Stability Analysis of Worm Propagation in Wireless Sensor Network
Joint Authors
Wang, Hongbin
Zhao, Qingshan
Song, Li-Peng
Feng, Li-Ping
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-02
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Feng, Li-Ping& Song, Li-Peng& Zhao, Qingshan& Wang, Hongbin. 2015. Modeling and Stability Analysis of Worm Propagation in Wireless Sensor Network. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1072956
Modern Language Association (MLA)
Feng, Li-Ping…[et al.]. Modeling and Stability Analysis of Worm Propagation in Wireless Sensor Network. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1072956
American Medical Association (AMA)
Feng, Li-Ping& Song, Li-Peng& Zhao, Qingshan& Wang, Hongbin. Modeling and Stability Analysis of Worm Propagation in Wireless Sensor Network. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1072956
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1072956