无标度网络上具有时滞的SIR计算机病毒传播模型研究  

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

作　　者：邓长松[1] 刘启明[1] 

机构地区：[1]军械工程学院基础部,河北石家庄050003

出　　处：《军械工程学院学报》2015年第1期74-78,共5页Journal of Ordnance Engineering College

摘　　要：提出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,得到该病毒传播的基本再生数,证明当基本再生数小于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.数值仿真验证所得结论是正确的.In this paper,a novel epidemic model of computer virus 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 confirm the analytical results.

关 键 词：无标度网络 时滞 非线性传染率 基本再生数 

分 类 号：TP309.5[自动化与计算机技术—计算机系统结构]