Effects of higher-order interactions and impulsive vaccination for rumor propagation.

IF 2.7 2区 数学 Q1 MATHEMATICS, APPLIED
Chaos Pub Date : 2024-12-01 DOI:10.1063/5.0241100
Shijie Liu, Donghua Zhao, Yongzheng Sun
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引用次数: 0

Abstract

This paper introduces a rumor propagation model with saturation incidence, based on hypergraph theory. Hypergraphs can capture the higher-order interactions between nodes in a social network, where the node degree is substituted with hyperdegree. First, the threshold for rumor spreading model is obtained, the global asymptotically stable of the rumor-free equilibrium, and the global attractive and global asymptotically stable of the rumor-prevailing equilibrium are proved. Then, we incorporate impulsive vaccination into the model to represent the guided effect, simulating the periodic educational activities organized by official institutions to counteract rumor dissemination. By employing the comparison theorem, the paper demonstrates the global attractiveness of the rumor-free periodic solution and the persistence of the model. Finally, through numerical simulations, the paper compares the effects of higher-order and pairwise interactions on rumor spreading, validating the theoretical conclusions. The results indicate that higher-order interactions can promote rumor spreading, while impulsive vaccination can effectively decrease the scale of rumor spreading.

高阶相互作用与冲动性疫苗接种对谣言传播的影响。
基于超图理论,提出了一种具有饱和发生率的谣言传播模型。超图可以捕获社交网络中节点之间的高阶交互,其中节点度用超度代替。首先,给出了谣言传播模型的阈值,证明了无谣言均衡的全局渐近稳定,以及谣言盛行均衡的全局吸引和全局渐近稳定。然后,我们在模型中加入冲动性疫苗接种来表示引导效应,模拟官方机构为抵制谣言传播而组织的周期性教育活动。利用比较定理证明了无谣言周期解的全局吸引力和模型的持久性。最后,通过数值模拟,比较了高阶交互和两两交互对谣言传播的影响,验证了理论结论。结果表明,高阶互动能够促进谣言的传播,而冲动性疫苗接种能够有效降低谣言的传播规模。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Chaos
Chaos 物理-物理:数学物理
CiteScore
5.20
自引率
13.80%
发文量
448
审稿时长
2.3 months
期刊介绍: Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.
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