面向P2P特定信息的传播动力学模型研究

Spreading Dynamics Model Research on P2P Specific Information

鉴于P2P特定信息传播与传染病传播的相似性,传播动力学是P2P特定信息传播的最新研究方向。针对现有传播动力学模型都不能准确模拟P2P特定信息传播过程的问题,对现有的SEIR传播动力学模型进行改进,建立了SEInR模型。该模型的主要特点包括:将传统的感染者(I)分为n个子类,每个子类赋予不同的模型参数;建立潜伏者(E)与移除者(R)之间的转换关系等。应用现代数学中的矩阵理论,得到SEInR模型的基本再生数计算公式,并对其进行分析。仿真结果表明,所提出的SEInR模型比传统SEIR模型能够更准确地模拟P2P特定信息传播过程,得到的基本再生数计算公式能够准确反映P2P特定信息的传播阈值。

Spreading of P2P specific information and epidemic are similar to each other,thus spreading dynamics becomes new research direction of P2P specific information spreading.Since the existing spreading dynamics model cannot accurately simulate P2P specific information spreading process,we improved the SEIR spreading dynamics model,and established the new SEInR spreading model.Main features of this model are as follows：dividing the traditional infected group（I） into n sub-groups,each of which has different parameter;and establishing the transformation relationship between Exposed（E） and Removed（R）.Matrix theory was applied to get formula of basic reproductive number for SEInR model,and the basic reproductive number was analyzed.The simulation result indicates that the improved SEInR model can much more accurately simulate P2P specific information spreading process than traditional SEIR model;and the basic reproductive number can accurately reflect P2P specific information threshold.