期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

基于无标度网络的谣言传播模型研究

  • 军械工程学院 基础部, 河北 石家庄 050003
  • DOI: 10.13763/j.cnki.jhebnu.nse.2016.03.003

A Study of Rumors Spreading Model with on Scale-free Network

摘要/Abstract

摘要:

基于计算机网络的无标度性, 建立了一类SIRS网络谣言传播模型.通过微分方程理论得到了谣言传播的基本再生数, 证明了当基本再生数小于1时谣言将逐渐消失, 当基本再生数大于1时谣言将持续存在.最后通过数值模拟验证了所得结论的正确性.

Abstract:

Based on scale-free of computer network,a novel rumors spreading model is proposed.The basic reproductive number for the model is presented.We prove that the rumor will die out when the basic reproductive number is less than the unity.Whereas the persistence of the rumor is shown if the basic reproductive number exceeds the unity.Numerical simulations confirmed the analytical results.

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