在复杂网络中包含反驳机制的动态分数级ISDR谣言传播模型
1Business School, University of Shanghai for Science and Technology, Shanghai, 200093, China. 201670077@st.usst.edu.cn.
Scientific reports
|August 24, 2025
概括
这项研究引入了一种新的谣言传播模型,使用分数顺序动态和无规模网络的反驳机制. 该模型有效地描述谣言传播,根据关键参数显示无谣言或存在谣言状态的稳定性.
科学领域:
- 复杂系统科学
- 数学模型
- 网络科学
背景情况:
- 谣言的传播对社会秩序构成重大威胁.
- 现有的模型往往缺乏充分捕捉谣言动态的机制,特别是在复杂的网络上.
研究的目的:
- 提出和分析一个包含反驳机制的小数序谣言传播模型 (ISDR).
- 调查网络结构和模型参数对谣言动态的影响.
- 在传闻模型中展示分数式微积分和反驳的优势.
主要方法:
- 在无尺度网络上开发一个分数顺序的易受感染-被删除 (ISDR) 谣言传播模型.
- 基本复制数的导出 ([公式:见文本]) 和平衡点的分析.
- 对无传闻和传闻存在的平衡点的全局非对称稳定性的数学分析.
- 数字模拟验证理论发现.
主要成果:
- 基本的复制号 ([公式:见文本]) 衍生出来,标志着谣言传播的动态.
- 在 [公式:参见文本] 时证明了无传闻平衡点的全方位对称稳定性.
- 传闻平衡点的全球非对称稳定性在 [公式:见文本] 时被证明.
- 分析证实了分数顺序动态和反驳机制的优势.
结论:
- 拟议的ISDR模型准确地捕捉了无规模网络上的谣言传播动态.
- 分数式微积分和反驳机制提高了模型的预测能力.
- 调查结果提供了关于网络结构对分数顺序系统和谣言控制的影响的重要见解.
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