Malware propagation model of fractional order, optimal control strategy and simulations
In this paper, an improved SEIR model of fractional order is investigated to describe the behavior of malware propagation in the wireless sensor network. Firstly, the malware propagation model of fractional order is established based on the classical SEIR epidemic theory, the basic reproductive numb...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2023-06-01
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| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2023.1201053/full |
| _version_ | 1797808965855215616 |
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| author | Ying Zhou Ban-Teng Liu Kai Zhou Shou-Feng Shen |
| author_facet | Ying Zhou Ban-Teng Liu Kai Zhou Shou-Feng Shen |
| author_sort | Ying Zhou |
| collection | DOAJ |
| description | In this paper, an improved SEIR model of fractional order is investigated to describe the behavior of malware propagation in the wireless sensor network. Firstly, the malware propagation model of fractional order is established based on the classical SEIR epidemic theory, the basic reproductive number is obtained by the next-generation method and the stability condition of the model is also analyzed. Then, the inverse approach for the uncertainty propagation based on the discrete element method and least square algorithm is presented to determine the unknown parameters of the propagation process. Finally, the optimal control strategy is also discussed based on the adaptive model. Simulation results show the proposed model works better than the propagation model of integer order. The error of proposed model is smaller than integer order models. |
| first_indexed | 2024-03-13T06:45:48Z |
| format | Article |
| id | doaj.art-904956f49ae6418cafe37ee2edef7db6 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-03-13T06:45:48Z |
| publishDate | 2023-06-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-904956f49ae6418cafe37ee2edef7db62023-06-08T06:14:48ZengFrontiers Media S.A.Frontiers in Physics2296-424X2023-06-011110.3389/fphy.2023.12010531201053Malware propagation model of fractional order, optimal control strategy and simulationsYing Zhou0Ban-Teng Liu1Kai Zhou2Shou-Feng Shen3College of Information Engineering, Zhejiang Shuren University, Hangzhou, ChinaCollege of Information Engineering, Zhejiang Shuren University, Hangzhou, ChinaDepartment of Applied Mathematics, Zhejiang University of Technology, Hangzhou, ChinaDepartment of Applied Mathematics, Zhejiang University of Technology, Hangzhou, ChinaIn this paper, an improved SEIR model of fractional order is investigated to describe the behavior of malware propagation in the wireless sensor network. Firstly, the malware propagation model of fractional order is established based on the classical SEIR epidemic theory, the basic reproductive number is obtained by the next-generation method and the stability condition of the model is also analyzed. Then, the inverse approach for the uncertainty propagation based on the discrete element method and least square algorithm is presented to determine the unknown parameters of the propagation process. Finally, the optimal control strategy is also discussed based on the adaptive model. Simulation results show the proposed model works better than the propagation model of integer order. The error of proposed model is smaller than integer order models.https://www.frontiersin.org/articles/10.3389/fphy.2023.1201053/fullmalware propagationfractional order difference equationsinverse approachdiscrete element methodadaptive model |
| spellingShingle | Ying Zhou Ban-Teng Liu Kai Zhou Shou-Feng Shen Malware propagation model of fractional order, optimal control strategy and simulations Frontiers in Physics malware propagation fractional order difference equations inverse approach discrete element method adaptive model |
| title | Malware propagation model of fractional order, optimal control strategy and simulations |
| title_full | Malware propagation model of fractional order, optimal control strategy and simulations |
| title_fullStr | Malware propagation model of fractional order, optimal control strategy and simulations |
| title_full_unstemmed | Malware propagation model of fractional order, optimal control strategy and simulations |
| title_short | Malware propagation model of fractional order, optimal control strategy and simulations |
| title_sort | malware propagation model of fractional order optimal control strategy and simulations |
| topic | malware propagation fractional order difference equations inverse approach discrete element method adaptive model |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2023.1201053/full |
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