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分布式攻击网络目标资源数学模型的研究
  • ISSN号：1001-7011
  • 期刊名称：《黑龙江大学自然科学学报》
  • 时间：0
  • 分类：O175[理学—数学;理学—基础数学]
  • 作者机构：北京科技大学数理学院,北京100083
  • 相关基金：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）
作者： 侯文涛, 王辉
关键词： 分布式攻击, 平衡点, 稳定性, distributed attack , equilibrium point , stability
中文摘要：

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。

英文摘要：

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.

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期刊信息
  • 《黑龙江大学自然科学学报》
  • 北大核心期刊（2011版）
  • 主管单位:黑龙江省教育厅
  • 主办单位:黑龙江大学
  • 主编：霍丽华
  • 地址：哈尔滨市学府路74号
  • 邮编：150080
  • 邮箱：hdxb@vip.sohu.com
  • 电话：0451-86608818
  • 国际标准刊号：ISSN：1001-7011
  • 国内统一刊号：ISSN：23-1181/N
  • 邮发代号:14-114
  • 获奖情况:
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:4204