高阶相互作用和冲动性疫苗接种对传闻传播的影响
Shijie Liu1, Donghua Zhao2, Yongzheng Sun1
1School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China.
Chaos (Woodbury, N.Y.)
|December 5, 2024
概括
这项研究使用超图理论来模拟谣言的传播,揭示了更高阶的相互作用可以加速传播. 冲动性疫苗接种策略有效地缓解了社交网络中的谣言传播.
科学领域:
- 数学建模的数学建模
- 网络科学 网络科学
- 信息的传播和传播.
背景情况:
- 社交网络表现出的复杂的互动超出了对联的连接.
- 了解谣言传播动态对于信息控制至关重要.
- 超图理论提供了一个框架来建模更高阶交互.
研究的目的:
- 介绍一种新的谣言传播模型,利用超图理论.
- 分析更高层次的互动对谣言传播的影响.
- 研究冲动性疫苗接种策略的有效性.
主要方法:
- 开发了一个基于超图理论的谣言传播模型,具有和发生率.
- 分析了无谣言和谣言占主导地位的平衡的稳定性.
- 纳入冲动性疫苗接种来模拟指导信息传播.
- 使用比较定理来研究周期性解.
- 利用数值模拟来比较交互类型.
主要成果:
- 建立了传言传播的门,并证明了平衡稳定性.
- 证明了无谣言周期性解决方案的全球吸引力.
- 证实了疫苗接种下模型的持久性.
- 发现更高层次的相互作用促进谣言的传播.
- 冲动性疫苗接种显著减少了谣言传播的规模.
结论:
- 基于超图的模型有效地捕捉了谣言传播中复杂的社交网络动态.
- 冲动接种疫苗是控制信息级联的可行策略.
- 高级相互作用和控制措施之间的相互作用需要进一步研究.
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