Dynamics of the Rumor-Spreading Model with Control Mechanism in Complex Network
The spread of rumors has a great impact on social order, people’s psychology, and life. In recent years, the application of rumor-spreading models in complex networks has received extensive attention. Taking the management and control of rumors by relevant departments in real life into account, the...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/5700374 |
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| _version_ | 1832552207638069248 |
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| author | Wei Zhang Hongyong Deng Xingmei Li Huan Liu |
| author_facet | Wei Zhang Hongyong Deng Xingmei Li Huan Liu |
| author_sort | Wei Zhang |
| collection | DOAJ |
| description | The spread of rumors has a great impact on social order, people’s psychology, and life. In recent years, the application of rumor-spreading models in complex networks has received extensive attention. Taking the management and control of rumors by relevant departments in real life into account, the SIDRQ rumor-spreading model that combines forgetting mechanism, immune mechanism, and suspicion mechanism and guides on a uniform network is established in this paper. Then, the basic reproductive number of the system and the unique existence of the solution are discussed, and the stability of the system is analyzed using the basic reproductive number, Lyapunov function, and Lienard and Chipart theorem; furthermore, the basic reproductive number may not be able to deduce the stability of the system and a counterexample is given. Finally, the influence of different parameters on the spread of rumors is studied, and the validity of the theoretical results is verified. |
| format | Article |
| id | doaj-art-1db6a900c6354fc7b79e44724e87d9ba |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-1db6a900c6354fc7b79e44724e87d9ba2025-02-03T05:59:10ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/5700374Dynamics of the Rumor-Spreading Model with Control Mechanism in Complex NetworkWei Zhang0Hongyong Deng1Xingmei Li2Huan Liu3School of Data Science and Information EngineeringSchool of Data Science and Information EngineeringSchool of Data Science and Information EngineeringCollege of Tourism and EnvironmentThe spread of rumors has a great impact on social order, people’s psychology, and life. In recent years, the application of rumor-spreading models in complex networks has received extensive attention. Taking the management and control of rumors by relevant departments in real life into account, the SIDRQ rumor-spreading model that combines forgetting mechanism, immune mechanism, and suspicion mechanism and guides on a uniform network is established in this paper. Then, the basic reproductive number of the system and the unique existence of the solution are discussed, and the stability of the system is analyzed using the basic reproductive number, Lyapunov function, and Lienard and Chipart theorem; furthermore, the basic reproductive number may not be able to deduce the stability of the system and a counterexample is given. Finally, the influence of different parameters on the spread of rumors is studied, and the validity of the theoretical results is verified.http://dx.doi.org/10.1155/2022/5700374 |
| spellingShingle | Wei Zhang Hongyong Deng Xingmei Li Huan Liu Dynamics of the Rumor-Spreading Model with Control Mechanism in Complex Network Journal of Mathematics |
| title | Dynamics of the Rumor-Spreading Model with Control Mechanism in Complex Network |
| title_full | Dynamics of the Rumor-Spreading Model with Control Mechanism in Complex Network |
| title_fullStr | Dynamics of the Rumor-Spreading Model with Control Mechanism in Complex Network |
| title_full_unstemmed | Dynamics of the Rumor-Spreading Model with Control Mechanism in Complex Network |
| title_short | Dynamics of the Rumor-Spreading Model with Control Mechanism in Complex Network |
| title_sort | dynamics of the rumor spreading model with control mechanism in complex network |
| url | http://dx.doi.org/10.1155/2022/5700374 |
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