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Dynamic analysis of a SIDRW rumor propagation model considering the effect of media reports and rumor refuters

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Abstract

Media reports and refutation factors have an important impact on the spread of rumors. At present, most scholars have separately analyzed the effects of media reports and individual refutation on the spread of rumors. It is not common to comprehensively consider the two on the spread of rumors. This paper proposed a SIDRW (Susceptibility–Infection–Refutation–Recovery–Medium) model, which regarded media as a separate subcategory and comprehensively considered the influence of media reports and individual repudiation on rumor propagation. The existence and local asymptotic stability of the equilibrium point of the model are proved by calculation. The results of numerical simulation under the parameters given in this paper show that positive media publicity can reduce the spread of rumors, but cannot prevent the spread of rumors. In the process of spreading, with an increase in the initial value of rumormongers, the duration of rumor spreading decreases, and the time to reach the peak decreases. This is conducive to controlling the spread of rumors.

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Acknowledgements

We thank the anonymous Editors and Reviewers warm work earnestly. This work was supported by the Humanities and Social Sciences Research Projects of Education Department of Liaoning Province China(No. 2020LNJC11) and the Natural Science Foundation of Liaoning Science and Technology Agency of China (No. 2022-MS-356).

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Authors and Affiliations

  1. School of Science, University of Science and Technology Liaoning, Anshan, 114051, China

    Wenqi Pan, Yuhan Hu, Ruimiao He & Libing Wu

  2. School of General Education, Dalian Neusoft University of Information, Dalian, 116023, China

    Weijun Yan

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  1. Wenqi Pan
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Correspondence to Yuhan Hu.

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Pan, W., Yan, W., Hu, Y. et al. Dynamic analysis of a SIDRW rumor propagation model considering the effect of media reports and rumor refuters. Nonlinear Dyn 111, 3925–3936 (2023). https://doi.org/10.1007/s11071-022-07947-w

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  • DOI: https://doi.org/10.1007/s11071-022-07947-w

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