Modelling and Analysis of the Epidemic Model under Pulse Charging in Wireless Rechargeable Sensor Networks
With the development of wireless sensor networks (WSNs), energy constraints and network security have become the main problems. This paper discusses the dynamic of the Susceptible, Infected, Low-energy, Susceptible model under pulse charging (SILS-P) in wireless rechargeable sensor networks. After t...
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MDPI AG
2021-07-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/23/8/927 |
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| author | Guiyun Liu Ziyi Huang Xilai Wu Zhongwei Liang Fenghuo Hong Xiaokai Su |
| author_facet | Guiyun Liu Ziyi Huang Xilai Wu Zhongwei Liang Fenghuo Hong Xiaokai Su |
| author_sort | Guiyun Liu |
| collection | DOAJ |
| description | With the development of wireless sensor networks (WSNs), energy constraints and network security have become the main problems. This paper discusses the dynamic of the Susceptible, Infected, Low-energy, Susceptible model under pulse charging (SILS-P) in wireless rechargeable sensor networks. After the construction of the model, the local stability and global stability of the malware-free T-period solution of the model are analyzed, and the threshold <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mn>0</mn></msub></mrow></semantics></math></inline-formula> is obtained. Then, using the comparison theorem and Floquet theorem, we obtain the relationship between <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mn>0</mn></msub></mrow></semantics></math></inline-formula> and the stability. In order to make the conclusion more intuitive, we use simulation to reveal the impact of parameters on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mn>0</mn></msub></mrow></semantics></math></inline-formula>. In addition, the paper discusses the continuous charging model, and reveals its dynamic by simulation. Finally, the paper compares three charging strategies: pulse charging, continuous charging and non-charging and obtains the relationship between their threshold values and system parameters. |
| first_indexed | 2024-03-10T08:50:53Z |
| format | Article |
| id | doaj.art-9b7fece0d16c41419f337f4411109f3d |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T08:50:53Z |
| publishDate | 2021-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-9b7fece0d16c41419f337f4411109f3d2023-11-22T07:33:47ZengMDPI AGEntropy1099-43002021-07-0123892710.3390/e23080927Modelling and Analysis of the Epidemic Model under Pulse Charging in Wireless Rechargeable Sensor NetworksGuiyun Liu0Ziyi Huang1Xilai Wu2Zhongwei Liang3Fenghuo Hong4Xiaokai Su5School 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, ChinaSchool of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, ChinaSchool of Mechanical and Electric Engineering, Guangzhou University, Guangzhou 510006, ChinaWith the development of wireless sensor networks (WSNs), energy constraints and network security have become the main problems. This paper discusses the dynamic of the Susceptible, Infected, Low-energy, Susceptible model under pulse charging (SILS-P) in wireless rechargeable sensor networks. After the construction of the model, the local stability and global stability of the malware-free T-period solution of the model are analyzed, and the threshold <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mn>0</mn></msub></mrow></semantics></math></inline-formula> is obtained. Then, using the comparison theorem and Floquet theorem, we obtain the relationship between <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mn>0</mn></msub></mrow></semantics></math></inline-formula> and the stability. In order to make the conclusion more intuitive, we use simulation to reveal the impact of parameters on <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>R</mi><mn>0</mn></msub></mrow></semantics></math></inline-formula>. In addition, the paper discusses the continuous charging model, and reveals its dynamic by simulation. Finally, the paper compares three charging strategies: pulse charging, continuous charging and non-charging and obtains the relationship between their threshold values and system parameters.https://www.mdpi.com/1099-4300/23/8/927wireless rechargeable sensor networkscomparison theoremFloquet theorempersistence |
| spellingShingle | Guiyun Liu Ziyi Huang Xilai Wu Zhongwei Liang Fenghuo Hong Xiaokai Su Modelling and Analysis of the Epidemic Model under Pulse Charging in Wireless Rechargeable Sensor Networks Entropy wireless rechargeable sensor networks comparison theorem Floquet theorem persistence |
| title | Modelling and Analysis of the Epidemic Model under Pulse Charging in Wireless Rechargeable Sensor Networks |
| title_full | Modelling and Analysis of the Epidemic Model under Pulse Charging in Wireless Rechargeable Sensor Networks |
| title_fullStr | Modelling and Analysis of the Epidemic Model under Pulse Charging in Wireless Rechargeable Sensor Networks |
| title_full_unstemmed | Modelling and Analysis of the Epidemic Model under Pulse Charging in Wireless Rechargeable Sensor Networks |
| title_short | Modelling and Analysis of the Epidemic Model under Pulse Charging in Wireless Rechargeable Sensor Networks |
| title_sort | modelling and analysis of the epidemic model under pulse charging in wireless rechargeable sensor networks |
| topic | wireless rechargeable sensor networks comparison theorem Floquet theorem persistence |
| url | https://www.mdpi.com/1099-4300/23/8/927 |
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