Dynamic analysis of a fractional-order rumor spreading model with double time delay under higher-order interactions
Although traditional network-based models also explore higher-order interactions, they are limited in capturing the complex impacts of multibody interactions, making it difficult to characterize the reinforcement effect in rumor propagation. With this in mind, firstly, this study introduces the sim...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2025-06-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/42681 |
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| author | Yang Xia Haijun Jiang Jiarong Li Shuzhen Yu |
| author_facet | Yang Xia Haijun Jiang Jiarong Li Shuzhen Yu |
| author_sort | Yang Xia |
| collection | DOAJ |
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Although traditional network-based models also explore higher-order interactions, they are limited in capturing the complex impacts of multibody interactions, making it difficult to characterize the reinforcement effect in rumor propagation. With this in mind, firstly, this study introduces the simplicial complexes, a higher-order mathematical tool, to model rumor propagation. Secondly, the fractional-order derivatives are employed to more accurately capture the memory effect and anomalous diffusion phenomenon in the rumor propagation process under higher-order interactions. Then propagation thresholds and the existence of model solutions are investigated. Moreover, the proposed model exhibits bistability, and the Hopf bifurcation is analysed by choosing time delay as the threshold. Numerical simulations suggest that fractional-order rumor spreading models with higher-order interactions are more consistent with actual data than network-based models and integer-order models.
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| format | Article |
| id | doaj-art-d93462e81d2e40dea256f8acf7f15385 |
| institution | DOAJ |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-d93462e81d2e40dea256f8acf7f153852025-08-20T03:18:11ZengVilnius University PressNonlinear Analysis1392-51132335-89632025-06-0130410.15388/namc.2025.30.42681Dynamic analysis of a fractional-order rumor spreading model with double time delay under higher-order interactionsYang Xia0Haijun Jiang1Jiarong Li2Shuzhen Yu3Xinjiang UniversityXinjiang UniversityXinjiang UniversityXinjiang Normal University Although traditional network-based models also explore higher-order interactions, they are limited in capturing the complex impacts of multibody interactions, making it difficult to characterize the reinforcement effect in rumor propagation. With this in mind, firstly, this study introduces the simplicial complexes, a higher-order mathematical tool, to model rumor propagation. Secondly, the fractional-order derivatives are employed to more accurately capture the memory effect and anomalous diffusion phenomenon in the rumor propagation process under higher-order interactions. Then propagation thresholds and the existence of model solutions are investigated. Moreover, the proposed model exhibits bistability, and the Hopf bifurcation is analysed by choosing time delay as the threshold. Numerical simulations suggest that fractional-order rumor spreading models with higher-order interactions are more consistent with actual data than network-based models and integer-order models. https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/42681rumor spreadingfractional-order modelhigher-order interactionsHopf bifurcation |
| spellingShingle | Yang Xia Haijun Jiang Jiarong Li Shuzhen Yu Dynamic analysis of a fractional-order rumor spreading model with double time delay under higher-order interactions Nonlinear Analysis rumor spreading fractional-order model higher-order interactions Hopf bifurcation |
| title | Dynamic analysis of a fractional-order rumor spreading model with double time delay under higher-order interactions |
| title_full | Dynamic analysis of a fractional-order rumor spreading model with double time delay under higher-order interactions |
| title_fullStr | Dynamic analysis of a fractional-order rumor spreading model with double time delay under higher-order interactions |
| title_full_unstemmed | Dynamic analysis of a fractional-order rumor spreading model with double time delay under higher-order interactions |
| title_short | Dynamic analysis of a fractional-order rumor spreading model with double time delay under higher-order interactions |
| title_sort | dynamic analysis of a fractional order rumor spreading model with double time delay under higher order interactions |
| topic | rumor spreading fractional-order model higher-order interactions Hopf bifurcation |
| url | https://www.zurnalai.vu.lt/nonlinear-analysis/article/view/42681 |
| work_keys_str_mv | AT yangxia dynamicanalysisofafractionalorderrumorspreadingmodelwithdoubletimedelayunderhigherorderinteractions AT haijunjiang dynamicanalysisofafractionalorderrumorspreadingmodelwithdoubletimedelayunderhigherorderinteractions AT jiarongli dynamicanalysisofafractionalorderrumorspreadingmodelwithdoubletimedelayunderhigherorderinteractions AT shuzhenyu dynamicanalysisofafractionalorderrumorspreadingmodelwithdoubletimedelayunderhigherorderinteractions |