Dynamics of the worm transmission in wireless sensor network in the framework of fractional derivatives
Document Type
Article
Publication Date
5-30-2022
Abstract
Wireless sensor networks (WSNs) are subject to cyber attacks. Security of such networks is a significant priority for everyone. Due to the network's frail defense mechanisms, WSNs are easy targets for worm attacks. A single unsecured node via contact can effectively propagate the worm across the entire network. Mathematical epidemic models are helpful in analyzing worm propagation in WSNs. To understand the attacking and spreading dynamics of worms in WSNs, a fractional-order compartmental epidemic model is investigated with susceptible, exposed, infected, recovered, and vaccinated nodes. Dynamical aspects such as boundedness, existence, and uniqueness of the solutions are presented with the help of fractional calculus theory. Global stability of the points of equilibrium are established. The projected nonlinear structure is examined numerically via the generalized Adams-Bashforth-Moulton method. This study demonstrates the influence of the fractional operator on WSNs dynamics and the efficiency of the numerical method.
Keywords
Adams-Bashforth-Moulton method, Caputo fractional derivative, Differential equations, Epidemic model, Wireless sensor network, Worm propagation
Divisions
MathematicalSciences
Funders
None
Publication Title
Mathematical Methods in the Applied Sciences
Volume
45
Issue
8
Publisher
Wiley
Publisher Location
111 RIVER ST, HOBOKEN 07030-5774, NJ USA