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

无标度网络上具有时滞的计算机病毒传播模型研究

  • 军械工程学院 基础部, 河北 石家庄 050003
  • DOI: 10.13763/j.cnki.jhebnu.nse.2015.02.004

A Study of Computer Virus Spreading Model with Time Delay on Scale-free Network

摘要/Abstract

摘要:

基于计算机网络的无标度性,提出了一类具有非线性传染率和时滞特性的计算机病毒传播模型,得到了该病毒传播的基本再生数,证明了当基本再生数小于1时病毒将逐渐消亡,当基本再生数大于1时病毒将持续存在.数值仿真验证了所得的结论的正确性.

Abstract:

In this paper,a novel epidemic model of computer virus on scale-free network with time delay and nonlinear infectivity is proposed.The basic reproductive number for the model is presented.We prove that the viruses will die out when the basic reproductive number is less than the unity.Whereas the permanence of the viruses is shown if the basic reproductive number exceeds the unity.Numerical simulations confirmed the analytical results.

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