Dynamical Behavior Analysis of a Time-Delay SIRS-L Model in Rechargeable Wireless Sensor Networks

Dynamical Behavior Analysis of a Time-Delay SIRS-L Model in Rechargeable Wireless Sensor Networks

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...

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Main Authors: Guiyun Liu, Junqiang Li, Zhongwei Liang, Zhimin Peng
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Mathematics
Subjects:
SIRS-L model
stability
Hopf bifurcation
wireless rechargeable sensor networks
Online Access:https://www.mdpi.com/2227-7390/9/16/2007
id doaj-f2e2d2bf3fe243089b9ddd6b1ae5b50a
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spelling doaj-f2e2d2bf3fe243089b9ddd6b1ae5b50a2021-08-26T14:02:34ZengMDPI AGMathematics2227-73902021-08-0192007200710.3390/math9162007Dynamical Behavior Analysis of a Time-Delay SIRS-L Model in Rechargeable Wireless Sensor NetworksGuiyun Liu0Junqiang Li1Zhongwei Liang2Zhimin Peng3School of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, ChinaSchool of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, ChinaSchool of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, ChinaSchool of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, ChinaThe 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.https://www.mdpi.com/2227-7390/9/16/2007SIRS-L modelstabilityHopf bifurcationwireless rechargeable sensor networks
collection DOAJ
language English
format Article
sources DOAJ
author Guiyun Liu
Junqiang Li
Zhongwei Liang
Zhimin Peng
spellingShingle Guiyun Liu
Junqiang Li
Zhongwei Liang
Zhimin Peng
Dynamical Behavior Analysis of a Time-Delay SIRS-L Model in Rechargeable Wireless Sensor Networks
Mathematics
SIRS-L model
stability
Hopf bifurcation
wireless rechargeable sensor networks
author_facet Guiyun Liu
Junqiang Li
Zhongwei Liang
Zhimin Peng
author_sort Guiyun Liu
title Dynamical Behavior Analysis of a Time-Delay SIRS-L Model in Rechargeable Wireless Sensor Networks
title_short Dynamical Behavior Analysis of a Time-Delay SIRS-L Model in Rechargeable Wireless Sensor Networks
title_full Dynamical Behavior Analysis of a Time-Delay SIRS-L Model in Rechargeable Wireless Sensor Networks
title_fullStr Dynamical Behavior Analysis of a Time-Delay SIRS-L Model in Rechargeable Wireless Sensor Networks
title_full_unstemmed Dynamical Behavior Analysis of a Time-Delay SIRS-L Model in Rechargeable Wireless Sensor Networks
title_sort dynamical behavior analysis of a time-delay sirs-l model in rechargeable wireless sensor networks
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2021-08-01
description 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.
topic SIRS-L model
stability
Hopf bifurcation
wireless rechargeable sensor networks
url https://www.mdpi.com/2227-7390/9/16/2007
work_keys_str_mv AT guiyunliu dynamicalbehavioranalysisofatimedelaysirslmodelinrechargeablewirelesssensornetworks
AT junqiangli dynamicalbehavioranalysisofatimedelaysirslmodelinrechargeablewirelesssensornetworks
AT zhongweiliang dynamicalbehavioranalysisofatimedelaysirslmodelinrechargeablewirelesssensornetworks
AT zhiminpeng dynamicalbehavioranalysisofatimedelaysirslmodelinrechargeablewirelesssensornetworks
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