应用数学2026，Vol.39Issue(2)：427-435,9.
基于SI1I2R模型的高校突发事件网络谣言传播动力学研究
Research on the Dynamics of Online Rumor Propagation in University Emergencies Based on the SI1I2R Model
摘要
Abstract
Using the ideas and methods of infectious disease dynamics modeling to simulate the spread of online rumors in college emergencies can provide reference for relevant departments of schools to effectively control the spread of rumors,so as to more effectively manage and control the spread of rumors.Firstly,the university population is divided into four categories:susceptible(S),rumor spreader(I1),truth denier(I2)and immune(R),and the SI1I2R network rumor model is established;Secondly,the next gener-ation matrix method is used to calculate the basic reproduction number,and the existence and stability of zero rumor and truth transmission equilibrium points,two kinds of nontrivial transmission equilibrium points and positive equilibrium points are theoretically analyzed;Finally,matlab software is used to carry out numerical simulation to further verify the dynamic behavior of online rumor spread.The research results show that schools should strengthen students'network security education,improve students'in-formation recognition ability,and help students not believe rumors or spread rumors before the incident;When an incident occurs,the school should timely release authoritative information,stabilize students'emotions,cut off the source of rumors,ensure that students know the truth,and further curb the spread of rumors.关键词
网络谣言/SI1I2R模型/基本再生数/稳定性Key words
Online rumors/SI1I2R model/Basic regeneration number/Stability分类
数理科学引用本文复制引用
刘志梅,买阿丽..基于SI1I2R模型的高校突发事件网络谣言传播动力学研究[J].应用数学,2026,39(2):427-435,9.基金项目
国家自然科学基金项目(12101547) （12101547）
山西省高等学校科技创新项目(2020L0551) （2020L0551）
山西省重点扶持学科计算机科学与技术项目 （）
运城学院科研项目(YY-202216) （YY-202216）
