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网络传播模型 — SIR、SIS 和独立级联

网络传播模型是一系列分隔室和概率框架,用于模拟信息、疾病或创新如何在连接系统中传播。SIR 和 SIS 模型植根于 Kermack 和 McKendrick (1927) 的数学流行病学,将节点划分为不同的状态,并跟踪由接触率和恢复概率驱动的转换。Kempe、Kleinberg 和 Tardos (2003) 正式化的独立级联模型和线性阈值模型将这一逻辑扩展到社会影响,模拟激活如何一次一个邻居地在网络中传播。

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来源

  1. Kermack, W.O. & McKendrick, A.G. (1927). A Contribution to the Mathematical Theory of Epidemics. Proceedings of the Royal Society of London. Series A, 115(772), 700-721. DOI: 10.1098/rspa.1927.0118
  2. Kempe, D., Kleinberg, J., & Tardos, E. (2003). Maximizing the Spread of Influence through a Social Network. Proceedings of the Ninth ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (KDD), 137-146. DOI: 10.1145/956750.956769

如何引用本页

ScholarGate. (2026, June 1). Network Diffusion Models (SIR, SIS, Independent Cascade). ScholarGate. https://scholargate.app/zh/network-analysis/network-diffusion

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被引用于

ScholarGateNetwork Diffusion Models (Network Diffusion Models (SIR, SIS, Independent Cascade)). 于 2026-06-15 检索自 https://scholargate.app/zh/network-analysis/network-diffusion · 数据集: https://doi.org/10.5281/zenodo.20539026