在传言通过社交媒体传播的模型上
Laurance Fakih1, Andrei Halanay1, Florin Avram2
1Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania.
Entropy (Basel, Switzerland)
|September 27, 2025
概括
这项研究模拟了在线社交媒体 (OSM) 上两种竞争谣言的传播. 数学分析和模拟揭示了诸如延迟和怀疑等影响谣言持久性和公众认知的因素.
科学领域:
- 数学建模的数学建模
- 社交网络分析分析
- 信息的动态信息的动态
背景情况:
- 谣言和虚假信息在在线社交媒体 (OSM) 上迅速传播.
- 错误信息的传播影响了公众的认知和认知.
- 了解谣言动态在数字时代至关重要.
研究的目的:
- 提出和分析一个数学模型,用于传播两个共存的谣言在OSM.
- 为了确定谣言灭绝或持久的条件.
- 调查延迟,怀疑和发生率对谣言动态的影响.
主要方法:
- 开发一种用于传闻传播的数学模型.
- 应用分析工具,包括Routh-Hurwitz稳定性测试.
- 使用延迟诱导稳定开关的分析.
- 通过 MATLAB / Python 模拟进行验证.
主要成果:
- 确定了谣言变得持久或消失的条件.
- 证明了时间延迟对谣言传播动态的重大影响.
- 量化了怀疑程度和发病率对信息传播的影响.
- 通过计算模拟验证了理论预测.
结论:
- 关于OSM的谣言传播是一个复杂的现象,受到多种因素的影响.
- 数学建模为谣言动态和控制提供了宝贵的见解.
- 延迟,怀疑和发生率是管理在线信息的关键参数.
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