Analysis and Control of Rumor Propagation Model Considering Multiple Waiting Phases
Rumors pose serious harm to society and exhibit a certain degree of repetitiveness. Existing rumor propagation models often have simple rules and neglect the repetitiveness of rumors. Therefore, we propose a new SCWIR rumor propagation model (susceptible, commented, waited, infected, recovered) by i...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/2/312 |
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| author | Hai Wu Xin Yan Shengxiang Gao Zhongying Deng Haiyang Chi |
| author_facet | Hai Wu Xin Yan Shengxiang Gao Zhongying Deng Haiyang Chi |
| author_sort | Hai Wu |
| collection | DOAJ |
| description | Rumors pose serious harm to society and exhibit a certain degree of repetitiveness. Existing rumor propagation models often have simple rules and neglect the repetitiveness of rumors. Therefore, we propose a new SCWIR rumor propagation model (susceptible, commented, waited, infected, recovered) by introducing the user’s repeated waiting behavior to simulate the potential for rumors to lie dormant and spread opportunistically. First, we present the dynamic equations of the model, then introduce three influencing factors to improve the model. Next, by solving for the equilibrium points and the basic reproduction number, we discuss the local and global stability of the rumor-free/rumor equilibrium points. Finally, we perform numerical simulations to analyze the effects of different factors on rumor propagation. The results show that the introduction of the multiple waiting mechanism helps simulate the repetitiveness of rumor propagation. Among the rumor suppression strategies, the effectiveness, from highest to lowest, is as follows: government intervention, information dissemination and popularization, and accelerated rumor value decay, with government intervention playing a decisive role. Information dissemination can reduce the intensity of rumors at the source. |
| format | Article |
| id | doaj-art-4a703cc9dbad450b96b7c56900f16fdd |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-4a703cc9dbad450b96b7c56900f16fdd2025-01-24T13:40:08ZengMDPI AGMathematics2227-73902025-01-0113231210.3390/math13020312Analysis and Control of Rumor Propagation Model Considering Multiple Waiting PhasesHai Wu0Xin Yan1Shengxiang Gao2Zhongying Deng3Haiyang Chi4Faculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming 650500, ChinaFaculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming 650500, ChinaFaculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming 650500, ChinaFaculty of Information Engineering and Automation, Kunming University of Science and Technology, Kunming 650500, ChinaInformation Center, Kunming University, Kunming 650214, ChinaRumors pose serious harm to society and exhibit a certain degree of repetitiveness. Existing rumor propagation models often have simple rules and neglect the repetitiveness of rumors. Therefore, we propose a new SCWIR rumor propagation model (susceptible, commented, waited, infected, recovered) by introducing the user’s repeated waiting behavior to simulate the potential for rumors to lie dormant and spread opportunistically. First, we present the dynamic equations of the model, then introduce three influencing factors to improve the model. Next, by solving for the equilibrium points and the basic reproduction number, we discuss the local and global stability of the rumor-free/rumor equilibrium points. Finally, we perform numerical simulations to analyze the effects of different factors on rumor propagation. The results show that the introduction of the multiple waiting mechanism helps simulate the repetitiveness of rumor propagation. Among the rumor suppression strategies, the effectiveness, from highest to lowest, is as follows: government intervention, information dissemination and popularization, and accelerated rumor value decay, with government intervention playing a decisive role. Information dissemination can reduce the intensity of rumors at the source.https://www.mdpi.com/2227-7390/13/2/312rumor propagationmultiple waiting phasesbasic regeneration numberrumor suppressioncomplex network |
| spellingShingle | Hai Wu Xin Yan Shengxiang Gao Zhongying Deng Haiyang Chi Analysis and Control of Rumor Propagation Model Considering Multiple Waiting Phases Mathematics rumor propagation multiple waiting phases basic regeneration number rumor suppression complex network |
| title | Analysis and Control of Rumor Propagation Model Considering Multiple Waiting Phases |
| title_full | Analysis and Control of Rumor Propagation Model Considering Multiple Waiting Phases |
| title_fullStr | Analysis and Control of Rumor Propagation Model Considering Multiple Waiting Phases |
| title_full_unstemmed | Analysis and Control of Rumor Propagation Model Considering Multiple Waiting Phases |
| title_short | Analysis and Control of Rumor Propagation Model Considering Multiple Waiting Phases |
| title_sort | analysis and control of rumor propagation model considering multiple waiting phases |
| topic | rumor propagation multiple waiting phases basic regeneration number rumor suppression complex network |
| url | https://www.mdpi.com/2227-7390/13/2/312 |
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