吉林大学学报（理学版）2025，Vol.63Issue(4)：1018-1024,7.DOI:10.13413/j.cnki.jdxblxb.2024455
具有口碑效应的信息传播动力学模型分析
Analysis of Information Communication Dynamics Model with Word-of-Mouth Effect
摘要
Abstract
We established a multi-stage dynamic model to reflect the characteristics of product word-of-mouth communication based on the laws of product word-of-mouth communication.Firstly,using qualitative analysis and stability theory,we analyzed the existence and stability of the model's equilibrium points,and gave the conditions for the existence of backward bifurcation.Secondly,the Lyapunov function was used to demonstrate the global asymptotic stability of the model's information-free equilibrium point and the positive equilibrium point when φ=0.Finally,we found that the model underwent saddle-node bifurcation,Hopf bifurcation,B-T bifurcation,and degenerate Hopf bifurcation through numerical simulation.The results show that the coupling effect between product buyers and active disseminators of product word-of-mouth has a significant effect on the dynamic process of word-of-mouth communication.关键词
口碑传播/基本再生数/后向分支/稳定性Key words
word-of-mouth communication/basic reproduction number/backward bifurcation/stability分类
数理科学引用本文复制引用
张梦瑶,侯强..具有口碑效应的信息传播动力学模型分析[J].吉林大学学报（理学版）,2025,63(4):1018-1024,7.基金项目
山西省基础研究计划资助项目(批准号:20210302123031). （批准号:20210302123031）
