Modeling and stability analysis of worm propagation in wireless sensor network
type: Item
instance of: scholarly article
title: Modeling and stability analysis of worm propagation in wireless sensor network
zbMATH Open document ID: 1394.68013
DOI: 10.1155/2015/129598
author: Liping Feng
author: Hongbin Wang
author: Li-Peng Song
author: Qing-Shan Zhao
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 68M10
Mathematics Subject Classification ID: 34C60
zbMATH DE Number: 6925532
Wikidata QID: Q59117323
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/129598
OpenAlex ID: W1519581288
cites work: Maximum Damage Battery Depletion Attack in Mobile Sensor Networks
cites work: SEIRS epidemic model with delay for transmission of malicious objects in computer network
cites work: Bifurcation analysis of a model for network worm propagation with time delay
cites work: Optimal control of computer virus under a delayed model
cites work: Hopf bifurcation analysis of a delayed viral infection model in computer networks
cites work: Dynamical analysis and control strategies on malware propagation model
cites work: Bifurcation analysis of a delay reaction-diffusion malware propagation model with feedback control
cites work: Mathematical model on the transmission of worms in wireless sensor network
cites work: Q4252988
cites work: Q5594821
cites work: Stability by Liapunov's direct method. With applications
cites work: Network virus-epidemic model with the point-to-group information propagation
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description: scientific article; zbMATH DE number 6925532