Spatio-temporal pattern formation mechanism of an epidemic-like information propagation model with diffusion behavior
In order to effectively warn against and control the spread of online rumors, it is essential to research the dynamic process of rumor propagation. This paper presents a reaction-diffusion rumor propagation model with a time delay. We analyze the sufficient conditions for the existence of rumor prop...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Ain Shams Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447924006257 |
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| author | Yuxuan Pan Shuling Shen Linhe Zhu |
| author_facet | Yuxuan Pan Shuling Shen Linhe Zhu |
| author_sort | Yuxuan Pan |
| collection | DOAJ |
| description | In order to effectively warn against and control the spread of online rumors, it is essential to research the dynamic process of rumor propagation. This paper presents a reaction-diffusion rumor propagation model with a time delay. We analyze the sufficient conditions for the existence of rumor propagation equilibrium points on continuous and complex networks, as well as the conditions for generating Turing bifurcation due to diffusion. Additionally, we derive the amplitude equation of the model to identify the parameter values corresponding to various pattern types. We validate the derivation of the amplitude equation through a series of numerical simulations, providing a robust method for accurately determining the state of rumor propagation. Our study investigates the effect of cross-diffusion coefficients on rumor propagation on the continuous space and finds that these coefficients suppress rumor propagation. Consequently, fostering connections among the public can enhance the dissemination of accurate information and mitigate rumor diffusion. Furthermore, we assess the impact of network node quantity on rumor dissemination on complex networks. Although the number of nodes does not directly influence rumor propagation, a higher node count facilitates a more precise evaluation of rumor propagation status. There is undoubtedly that this is conducive to controlling rumors for managers. |
| format | Article |
| id | doaj-art-5f0751e240f7420eb8b52b6eef953feb |
| institution | Kabale University |
| issn | 2090-4479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj-art-5f0751e240f7420eb8b52b6eef953feb2025-01-17T04:49:27ZengElsevierAin Shams Engineering Journal2090-44792025-01-01161103244Spatio-temporal pattern formation mechanism of an epidemic-like information propagation model with diffusion behaviorYuxuan Pan0Shuling Shen1Linhe Zhu2Affiliated Hospital of Jiangsu University, Jiangsu University, Zhenjiang, China; School of Mathematical Sciences, Jiangsu University, Zhenjiang, ChinaAffiliated Hospital of Jiangsu University, Jiangsu University, Zhenjiang, China; Corresponding authors.School of Mathematical Sciences, Jiangsu University, Zhenjiang, China; Corresponding authors.In order to effectively warn against and control the spread of online rumors, it is essential to research the dynamic process of rumor propagation. This paper presents a reaction-diffusion rumor propagation model with a time delay. We analyze the sufficient conditions for the existence of rumor propagation equilibrium points on continuous and complex networks, as well as the conditions for generating Turing bifurcation due to diffusion. Additionally, we derive the amplitude equation of the model to identify the parameter values corresponding to various pattern types. We validate the derivation of the amplitude equation through a series of numerical simulations, providing a robust method for accurately determining the state of rumor propagation. Our study investigates the effect of cross-diffusion coefficients on rumor propagation on the continuous space and finds that these coefficients suppress rumor propagation. Consequently, fostering connections among the public can enhance the dissemination of accurate information and mitigate rumor diffusion. Furthermore, we assess the impact of network node quantity on rumor dissemination on complex networks. Although the number of nodes does not directly influence rumor propagation, a higher node count facilitates a more precise evaluation of rumor propagation status. There is undoubtedly that this is conducive to controlling rumors for managers.http://www.sciencedirect.com/science/article/pii/S2090447924006257Rumor propagationTuring patternReaction–diffusion systemAmplitude equationComplex network |
| spellingShingle | Yuxuan Pan Shuling Shen Linhe Zhu Spatio-temporal pattern formation mechanism of an epidemic-like information propagation model with diffusion behavior Ain Shams Engineering Journal Rumor propagation Turing pattern Reaction–diffusion system Amplitude equation Complex network |
| title | Spatio-temporal pattern formation mechanism of an epidemic-like information propagation model with diffusion behavior |
| title_full | Spatio-temporal pattern formation mechanism of an epidemic-like information propagation model with diffusion behavior |
| title_fullStr | Spatio-temporal pattern formation mechanism of an epidemic-like information propagation model with diffusion behavior |
| title_full_unstemmed | Spatio-temporal pattern formation mechanism of an epidemic-like information propagation model with diffusion behavior |
| title_short | Spatio-temporal pattern formation mechanism of an epidemic-like information propagation model with diffusion behavior |
| title_sort | spatio temporal pattern formation mechanism of an epidemic like information propagation model with diffusion behavior |
| topic | Rumor propagation Turing pattern Reaction–diffusion system Amplitude equation Complex network |
| url | http://www.sciencedirect.com/science/article/pii/S2090447924006257 |
| work_keys_str_mv | AT yuxuanpan spatiotemporalpatternformationmechanismofanepidemiclikeinformationpropagationmodelwithdiffusionbehavior AT shulingshen spatiotemporalpatternformationmechanismofanepidemiclikeinformationpropagationmodelwithdiffusionbehavior AT linhezhu spatiotemporalpatternformationmechanismofanepidemiclikeinformationpropagationmodelwithdiffusionbehavior |