Differential Games of Rechargeable Wireless Sensor Networks against Malicious Programs Based on SILRD Propagation Model

Based on the traditional propagation model, this paper innovatively divides nodes into high- and low-energy states through introducing Low-energy (L) state and presents a whole new propagation model which is more suitable for WSNs (wireless sensor networks) against malicious programs, namely, SILRD...

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Main Authors: Guiyun Liu, Baihao Peng, Xiaojing Zhong, Xuejing Lan
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/5686413
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author Guiyun Liu
Baihao Peng
Xiaojing Zhong
Xuejing Lan
author_facet Guiyun Liu
Baihao Peng
Xiaojing Zhong
Xuejing Lan
author_sort Guiyun Liu
collection DOAJ
description Based on the traditional propagation model, this paper innovatively divides nodes into high- and low-energy states through introducing Low-energy (L) state and presents a whole new propagation model which is more suitable for WSNs (wireless sensor networks) against malicious programs, namely, SILRD (Susceptible, Infected, Low-energy, Recovered, Dead) model. In this paper, nodes are divided into five states according to the residual energy and infection level, and the differential equations are constructed to describe the evolution of nodes. At the same time, aiming at the exhaustion of WSNs’ energy, this paper introduces charging as a method to supplement the energy. Furthermore, we regard the confrontation between WSNs and malicious programs as a kind of game and find the optimal strategies by using the Pontryagin Maximum Principle. It is found that charging as a defense mechanism can inhibit the spread of malicious programs and reduce overall costs. Meanwhile, the superiority of bang-bang control on the SILRD model is highlighted by comparing with square control.
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id doaj-art-ccab63cb5b1b41c884db2545d7534be3
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-ccab63cb5b1b41c884db2545d7534be32025-02-03T01:05:22ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/56864135686413Differential Games of Rechargeable Wireless Sensor Networks against Malicious Programs Based on SILRD Propagation ModelGuiyun Liu0Baihao Peng1Xiaojing Zhong2Xuejing Lan3School 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, ChinaBased on the traditional propagation model, this paper innovatively divides nodes into high- and low-energy states through introducing Low-energy (L) state and presents a whole new propagation model which is more suitable for WSNs (wireless sensor networks) against malicious programs, namely, SILRD (Susceptible, Infected, Low-energy, Recovered, Dead) model. In this paper, nodes are divided into five states according to the residual energy and infection level, and the differential equations are constructed to describe the evolution of nodes. At the same time, aiming at the exhaustion of WSNs’ energy, this paper introduces charging as a method to supplement the energy. Furthermore, we regard the confrontation between WSNs and malicious programs as a kind of game and find the optimal strategies by using the Pontryagin Maximum Principle. It is found that charging as a defense mechanism can inhibit the spread of malicious programs and reduce overall costs. Meanwhile, the superiority of bang-bang control on the SILRD model is highlighted by comparing with square control.http://dx.doi.org/10.1155/2020/5686413
spellingShingle Guiyun Liu
Baihao Peng
Xiaojing Zhong
Xuejing Lan
Differential Games of Rechargeable Wireless Sensor Networks against Malicious Programs Based on SILRD Propagation Model
Complexity
title Differential Games of Rechargeable Wireless Sensor Networks against Malicious Programs Based on SILRD Propagation Model
title_full Differential Games of Rechargeable Wireless Sensor Networks against Malicious Programs Based on SILRD Propagation Model
title_fullStr Differential Games of Rechargeable Wireless Sensor Networks against Malicious Programs Based on SILRD Propagation Model
title_full_unstemmed Differential Games of Rechargeable Wireless Sensor Networks against Malicious Programs Based on SILRD Propagation Model
title_short Differential Games of Rechargeable Wireless Sensor Networks against Malicious Programs Based on SILRD Propagation Model
title_sort differential games of rechargeable wireless sensor networks against malicious programs based on silrd propagation model
url http://dx.doi.org/10.1155/2020/5686413
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AT xiaojingzhong differentialgamesofrechargeablewirelesssensornetworksagainstmaliciousprogramsbasedonsilrdpropagationmodel
AT xuejinglan differentialgamesofrechargeablewirelesssensornetworksagainstmaliciousprogramsbasedonsilrdpropagationmodel