分布式攻击网络目标资源数学模型的研究  

Study of a mathematical model for a distributed attack on targeted resources in a computer network

作　　者：侯文涛[1] 王辉[1] 

机构地区：[1]北京科技大学数理学院,北京100083

出　　处：《黑龙江大学自然科学学报》2016年第3期315-321,共7页Journal of Natural Science of Heilongjiang University

基　　金：国家自然科学基金资助项目(61174209);北京科技大学冶金工程研究院基础研究基金资助项目(YJ2012-001)

摘　　要：建立一个分布式攻击计算机网络目标资源的数学模型。考虑到网络攻击主机和目标资源的差异,该模型将分布式攻击的过程分为对主机的攻击和对目标资源的攻击两个系统。研究得出系统的基本再生数R0,利用Routh-Hurwitz判据和几何判别准则,讨论模型无病平衡点的局部渐近稳定性以及正平衡点的局部渐近稳定性和全局渐近稳定性。数值模拟验证了所得结果。A mathematical model for a distributed attack on targeted resources in a computer network is established. The process of distributed attacks provides an epidemic framework with two sub-frameworks to consider the difference between the overall behavior of the attacking hosts and the targeted resources. Firstly, the basic regeneration number R0 of the system is obtained. Then, by using Routh-Hurwitz crite- rion and geometric criterion, the local stability of the disease-free equilibrium point and the local stability and global stability of the positive equilibrium point are studied. Finally, the results are verified by nu- merical simulation.

关 键 词：分布式攻击 平衡点 稳定性 

分 类 号：O175[理学—数学]