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模拟与社区网络中的传播:一种多种类型的分支过程方法
Alina Dubovskaya1,2, Caroline B Pena2, David J P O'Sullivan2
1University of Limerick, Department of Psychology, Centre for Social Issues Research, Limerick V94T9PX, Ireland.
Physical review. E
|April 18, 2025
概括
本研究引入了一个新的理论框架,使用多种分支过程来分析具有社区结构的复杂网络中的扩散动态. 该模型准确地预测了传播特征和社区之间的传播.
科学领域:
- 网络科学 网络科学
- 数学建模的数学建模
- 流行病学 流行病学
背景情况:
- 复杂网络中的扩散过程对于理解各种实体的传播至关重要.
- 现有的工具往往缺乏分析社区结构的网络内的扩散的能力.
- 在具有社区结构的相互连接系统中分析传染动态需要先进的理论方法.
研究的目的:
- 开发用于模拟和分析具有社区结构的网络中的扩散过程的理论工具.
- 以使用有限的网络信息来计算关键的传播动态特征.
- 为了估计跨社区传播的概率.
主要方法:
- 使用多种类型的分支过程来模拟扩散.
- 使用简单的传染机制进行传播.
- 分析基于社区内部和社区之间的程度分布的网络属性.
主要成果:
- 开发了一个框架来计算整个网络和个别社区的灭绝概率,危险函数和级联大小分布.
- 成功估计了社区间传播的概率.
- 在随机区块和日志正常网络上证明了框架准确性.
- 展示了框架能够捕捉初始播种位置对重尾网络中级联大小分布的影响.
结论:
- 开发的理论框架为复杂的社区结构网络中的扩散动态提供了准确的见解.
- 该方法允许详细分析传播,包括社区间传播,使用最小的网络数据.
- 这项工作为理解和预测结构化环境中信息,疾病或行为传播提供了有价值的工具.
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