基于SEAOR模型的网络信息传播动力学与仿真研究  

Research on dynamics and Simulation of network information dissemination based on SEAOR model

作　　者：刘志梅 Liu Zhimei(School of Mathematics and Information Technology,Yuncheng University,Yuncheng,Shanxi 044000,China)

机构地区：[1]运城学院数学与信息技术学院,山西运城044000

出　　处：《计算机时代》2025年第4期6-10,共5页Computer Era

基　　金：运城学院科研项目“复杂网络上传染病模型建立与分析”(编号:YY-202216)。

摘　　要：利用传染病动力学建模思想和方法,首先,构建了SEAOR网络信息传播模型;其次,计算出了信息传播的基本再生数,理论分析并得出了三类平衡点(无信息传播平衡点、有支持信息且无反对信息传播平衡点、无支持信息且有反对信息传播平衡点)存在及稳定的条件;最后,利用matlab进行仿真研究,进一步验证了三类平衡点的稳定性。研究结果表明,SEAOR模型可以很好地描述网络信息的传播规律,同时为有关部门治理网络舆情提供一定的依据。Using the idea and method of infectious disease dynamics modeling,firstly,the SEAOR network information dissemination model is constructed;Secondly,the basic reproduction number of information dissemination is calculated,and the existence and stability conditions of three kinds of equilibrium points(no information dissemination equilibrium point,equilibrium point with supportive information but no opposing information dissemination,equilibrium point with no supportive information but opposing information dissemination)are theoretically analyzed and obtained;Finally,the stability of the three kinds of equilibrium points is further verified by using MATLAB simulation.The results show that the SEAOR model can well describe the law of network information dissemination,and provide a certain basis for relevant departments to govern network public opinion.

关 键 词：网络信息传播 SEAOR模型 基本再生数 稳定性 

分 类 号：O175[理学—数学] TP393[理学—基础数学]