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Delay dynamics of worm propagation model with non-linear incidence rates in wireless sensor network

Publication Type : Journal Article

Publisher : Zhejiang University (Science Edition)

Source : Zhejiang University (Science Edition)

Campus : Coimbatore

School : School of Engineering

Center : Amrita Innovation & Research

Department : Mathematics

Verified : Yes

Year : 2019

Abstract : In this paper, delay dynamics of a worm propagation model has been investigated with different incidence rates in wireless sensor network. Processing time delay occurs in the proposed model due to time consumed during monitoring the erratic behaviors of the nodes and isolating it from the network. Sufficient conditions for the existence of equilibrium points, stability analysis and Hopf bifurcation of the system are derived by analyzing distribution of roots of an associated characteristic equation. Global stability for worm-induced equilibrium is derived by constructing a suitable Lyapunov function. To verify analytical results, numerical simulations are carried out. In the case that the processing time delay exceeds the critical value, the worms in the network is beyond the control. There are many significant features of wireless sensor networks, among them coverage area is the most effective factor with respect to worm control and security purposes. The value of some influential parameters of sensor network are carefully selected so that the oscillations can be reduced and removed from the network.

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