摘要
由于互联网用户具有不同的影响力,为了研究不同用户对谣言传播过程产生的影响,提出了具有真相传播者的2CSTR(two credulous spreader truth rational)谣言传播模型。首先,通过再生矩阵的方法计算得到谣言传播阈值,即基本再生数R 0;其次,根据Routh-Hurwitz判据证明了当R 0<1时谣言消亡平衡点的局部渐近稳定性,通过构造李雅普诺夫函数证明了谣言消亡平衡点和谣言持久平衡点的全局渐近稳定性;最后,通过数值模拟出不同参数对谣言传播的影响。结果表明,及时监测谣言信息或公布辟谣信息能够有效抑制谣言传播。
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 R 0,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 R 0<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.
作者
刘敏
胡新利
LIU Min;HU Xinli(School of Science,Xi'an Polytechnic University,Xi'an 710048,China)
出处
《沈阳大学学报(自然科学版)》
2025年第2期170-177,共8页
Journal of Shenyang University:Natural Science
基金
陕西省自然科学基础研究计划项目(2021JM-445)。
