An uncertain SIR rumor spreading model
Abstract In this paper, an uncertain SIR (spreader, ignorant, stifler) rumor spreading model driven by one Liu process is formulated to investigate the influence of perturbation in the transmission mechanism of rumor spreading. The deduced process of the uncertain SIR rumor spreading model is presen...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-06-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03386-w |
| _version_ | 1818930166222553088 |
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| author | Hang Sun Yuhong Sheng Qing Cui |
| author_facet | Hang Sun Yuhong Sheng Qing Cui |
| author_sort | Hang Sun |
| collection | DOAJ |
| description | Abstract In this paper, an uncertain SIR (spreader, ignorant, stifler) rumor spreading model driven by one Liu process is formulated to investigate the influence of perturbation in the transmission mechanism of rumor spreading. The deduced process of the uncertain SIR rumor spreading model is presented. Then an existence and uniqueness theorem concerning the solution is proved. Moreover, the stability of uncertain SIR rumor spreading differential equation is proved. In addition, the influence of different parameters on rumor spreading is analyzed through numerical simulation. This paper also presents a paradox of stochastic SIR rumor spreading model. |
| first_indexed | 2024-12-20T03:56:22Z |
| format | Article |
| id | doaj.art-a837e22a4b5b493ebe97b00793b5305c |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-20T03:56:22Z |
| publishDate | 2021-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-a837e22a4b5b493ebe97b00793b5305c2022-12-21T19:54:18ZengSpringerOpenAdvances in Difference Equations1687-18472021-06-012021112210.1186/s13662-021-03386-wAn uncertain SIR rumor spreading modelHang Sun0Yuhong Sheng1Qing Cui2College of Mathematical and System Sciences, Xinjiang UniversityCollege of Mathematical and System Sciences, Xinjiang UniversityCollege of Information Science and Engineering, Xinjiang UniversityAbstract In this paper, an uncertain SIR (spreader, ignorant, stifler) rumor spreading model driven by one Liu process is formulated to investigate the influence of perturbation in the transmission mechanism of rumor spreading. The deduced process of the uncertain SIR rumor spreading model is presented. Then an existence and uniqueness theorem concerning the solution is proved. Moreover, the stability of uncertain SIR rumor spreading differential equation is proved. In addition, the influence of different parameters on rumor spreading is analyzed through numerical simulation. This paper also presents a paradox of stochastic SIR rumor spreading model.https://doi.org/10.1186/s13662-021-03386-wUncertainty theoryLiu processRumor spreadingExistence and uniquenessStability |
| spellingShingle | Hang Sun Yuhong Sheng Qing Cui An uncertain SIR rumor spreading model Advances in Difference Equations Uncertainty theory Liu process Rumor spreading Existence and uniqueness Stability |
| title | An uncertain SIR rumor spreading model |
| title_full | An uncertain SIR rumor spreading model |
| title_fullStr | An uncertain SIR rumor spreading model |
| title_full_unstemmed | An uncertain SIR rumor spreading model |
| title_short | An uncertain SIR rumor spreading model |
| title_sort | uncertain sir rumor spreading model |
| topic | Uncertainty theory Liu process Rumor spreading Existence and uniqueness Stability |
| url | https://doi.org/10.1186/s13662-021-03386-w |
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