Abstract

The traditional SIRS virus propagation model is used to analyze the malware propagation behavior of wireless rechargeable sensor networks (WRSNs) by adding a new concept: the low-energy status nodes. The SIRS-L model has been developed in this article. Furthermore, the influence of time delay during the charging behavior of the low-energy status nodes needs to be considered. Hopf bifurcation is studied by discussing the time delay that is chosen as the bifurcation parameter. Finally, the properties of the Hopf bifurcation are explored by applying the normal form theory and the center manifold theorem.

Highlights

  • With the development and application of communication technology and sensor technology, wireless sensor networks (WSNs) have come into being

  • Due to the self-organized network of WSNs, sensor nodes are vulnerable to various attacks in the process of information transmission [2,3,4,5,6,7,8,9,10]

  • In order to overcome the defect of short life cycle of WSNs, wireless rechargeable sensor networks (WRSNs) have been developed and have caught more attention

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Summary

Introduction

With the development and application of communication technology and sensor technology, wireless sensor networks (WSNs) have come into being. SIRS model is taken as the premise of modeling; the SIRS-L model considering the low-energy state nodes is proposed in this paper It provides the analysis reference of Hopf bifurcation and the corresponding mathematical processing method. It provides a theoretical basis for the low-energy status modeling.

Modeling
Local Stability and Analysis of Hopf Bifurcation
E4 E5 1 0
Properties of the Hopf bifurcation
Parameter Dependence of R0
Analysis and Display of Equilibrium Solutions
Conclusions
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