沈阳大学学报（自然科学版）2025，Vol.37Issue(2)：170-177,8.
具有真相传播者的2CSTR谣言传播模型稳定性
Stability of a 2CSTR Rumor Spreading Model with Truth Disseminators
摘要
Abstract
Due to the varying influence of Internet users,a 2CSTR(two credulous spreader truth rational)rumor spreading model incorporating truth spreaders was proposed to investigate the impact of different users on the rumor dissemination process.First,the rumor spreading threshold,the basic reproduction number R0,was calculated using the next-generation matrix method.Second,the local asymptotic stability of the rumor-free equilibrium was proven using the Routh-Hurwitz criterion when R0＜1,and the global asymptotic stability of both the rumor-free equilibrium and the rumor-persistent equilibrium was demonstrated by constructing Lyapunov functions.Finally,numerical simulations were conducted to analyze the effects of different parameters on the rumor spreading process.The results indicate that,timely monitoring of rumor information or releasing debunking information could effectively suppress the spread of rumors.关键词
2CSTR谣言传播模型/基本再生数/稳定性/Routh-Hurwitz判据/李雅普诺夫函数Key words
2CSTR rumor spreading model/basic reproduction number/stability/Routh-Hurwitz criterion/Lyapunov function分类
数学引用本文复制引用
刘敏,胡新利..具有真相传播者的2CSTR谣言传播模型稳定性[J].沈阳大学学报（自然科学版）,2025,37(2):170-177,8.基金项目
陕西省自然科学基础研究计划项目(2021JM-445). （2021JM-445）
