Dynamics Analysis of a Wireless Rechargeable Sensor Network for Virus Mutation Spreading
Virus spreading problems in wireless rechargeable sensor networks (WSNs) are becoming a hot topic, and the problem has been studied and discussed in recent years. Many epidemic spreading models have been introduced for revealing how a virus spreads and how a virus is suppressed. However, most of the...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-05-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/5/572 |
| _version_ | 1797535109266538496 |
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| author | Guiyun Liu Zhimin Peng Zhongwei Liang Junqiang Li Lefeng Cheng |
| author_facet | Guiyun Liu Zhimin Peng Zhongwei Liang Junqiang Li Lefeng Cheng |
| author_sort | Guiyun Liu |
| collection | DOAJ |
| description | Virus spreading problems in wireless rechargeable sensor networks (WSNs) are becoming a hot topic, and the problem has been studied and discussed in recent years. Many epidemic spreading models have been introduced for revealing how a virus spreads and how a virus is suppressed. However, most of them assumed the sensors are not rechargeable sensors. In addition, most of existing works do not consider virus mutation problems. This paper proposes a novel epidemic model, including susceptible, infected, variant, low-energy and dead states, which considers the rechargeable sensors and the virus mutation factor. The stability of the proposed model is first analyzed by adopting the characteristic equation and constructing Lyapunov functions methods. Then, an optimal control problem is formulated to control the virus spread and decrease the cost of the networks by applying Pontryagin’s maximum principle. Finally, all of the theoretical results are confirmed by numerical simulation. |
| first_indexed | 2024-03-10T11:39:33Z |
| format | Article |
| id | doaj.art-d77d758843f9485492a067f608783a53 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T11:39:33Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-d77d758843f9485492a067f608783a532023-11-21T18:35:43ZengMDPI AGEntropy1099-43002021-05-0123557210.3390/e23050572Dynamics Analysis of a Wireless Rechargeable Sensor Network for Virus Mutation SpreadingGuiyun Liu0Zhimin Peng1Zhongwei Liang2Junqiang Li3Lefeng Cheng4School of Machanical and Electric Engineering, Guangzhou University, Guangzhou 510006, ChinaSchool of Machanical and Electric Engineering, Guangzhou University, Guangzhou 510006, ChinaSchool of Machanical and Electric Engineering, Guangzhou University, Guangzhou 510006, ChinaSchool of Machanical and Electric Engineering, Guangzhou University, Guangzhou 510006, ChinaSchool of Machanical and Electric Engineering, Guangzhou University, Guangzhou 510006, ChinaVirus spreading problems in wireless rechargeable sensor networks (WSNs) are becoming a hot topic, and the problem has been studied and discussed in recent years. Many epidemic spreading models have been introduced for revealing how a virus spreads and how a virus is suppressed. However, most of them assumed the sensors are not rechargeable sensors. In addition, most of existing works do not consider virus mutation problems. This paper proposes a novel epidemic model, including susceptible, infected, variant, low-energy and dead states, which considers the rechargeable sensors and the virus mutation factor. The stability of the proposed model is first analyzed by adopting the characteristic equation and constructing Lyapunov functions methods. Then, an optimal control problem is formulated to control the virus spread and decrease the cost of the networks by applying Pontryagin’s maximum principle. Finally, all of the theoretical results are confirmed by numerical simulation.https://www.mdpi.com/1099-4300/23/5/572WRSNsmutation virusstable analysisoptimal control |
| spellingShingle | Guiyun Liu Zhimin Peng Zhongwei Liang Junqiang Li Lefeng Cheng Dynamics Analysis of a Wireless Rechargeable Sensor Network for Virus Mutation Spreading Entropy WRSNs mutation virus stable analysis optimal control |
| title | Dynamics Analysis of a Wireless Rechargeable Sensor Network for Virus Mutation Spreading |
| title_full | Dynamics Analysis of a Wireless Rechargeable Sensor Network for Virus Mutation Spreading |
| title_fullStr | Dynamics Analysis of a Wireless Rechargeable Sensor Network for Virus Mutation Spreading |
| title_full_unstemmed | Dynamics Analysis of a Wireless Rechargeable Sensor Network for Virus Mutation Spreading |
| title_short | Dynamics Analysis of a Wireless Rechargeable Sensor Network for Virus Mutation Spreading |
| title_sort | dynamics analysis of a wireless rechargeable sensor network for virus mutation spreading |
| topic | WRSNs mutation virus stable analysis optimal control |
| url | https://www.mdpi.com/1099-4300/23/5/572 |
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