传染病模型在计算机病毒传播中的应用
关键词：计算机病毒；SIR模型；网络节点数；反病毒措施
Infectious disease in the application of the computer virus propagation
Abstract：The frequents of computer virus result in tremendous economic destruction, but anti-virus technologies lag far behind demand of computer virus. Based on analysis of computer virus propagation mechanism, we give most of all computer virus propagation models. For example,SI model,SIS model and SIR model. Due to computer viruses and biological viruses have similarities, so in biological research on the spread of the virus epidemic model also can be used to study the spread of computer viruses; but also because there are some differences between computer viruses and biological viruses, we need to make some certain improvements for original epidemic model to study the spread of computer viruses. This article describes the two types of improved SIR computer virus propagation model with pre-immune measures was put forward, network nodes are discussed and uncertainties identified in both cases. The results show that the modified virus SIR computer model can better reflect and describe virus propagation in the network.
Keywords: computer virus；Susceptible-Infected-Removed(SIR) model；network nodes；anti-virus measure
目录
1 引言 1
1.1 课题的目的和意义 1
1.2 国内外研究现状与发展趋势 2
1.3 文献综述 2
1.4 论文研究主要内容 3
2 背景知识介绍 4
2.1计算机病毒 4
2.2计算机病毒与生物病毒的相似性 4
2.3计算机病毒与生物病毒的不同之处 5
2.4几种常见的传染病模型 5
2.5小结 11
3 传染病模型与计算机病毒结合的例子 11
3.1网络节点数确定 11
3.1.1背景介绍 11
3.1.1.1 SIR模型的定义 11
3.1.1.2 SIR模型的不足 12
3.1.2 VPM-AMP模型的建立 12
3.1.2.1 VPM-AMP模型建立的基础 12
3.1.2.2 模型建立的状态机分析 13
3.1.2.3 VPM-AMP模型的建立 14
3.1.3 两种模型数值解的比较 15
3.1.3.1 SIR模型 15
3.1.3.2 VPM-AMP模型 18
3.1.3.3 小结 20
3.2 网络节点数确定 20
3.2.1背景知识介绍 20
3.2.2 模型建立 20
3.2.2.1 模型中节点状态和状态转换 20
3.2.2.2 传染率系数b 21
3.2.2.3 改进的SIR模型 22
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