计算机应用 ›› 2011, Vol. 31 ›› Issue (11): 2957-2960.DOI: 10.3724/SP.J.1087.2011.02957

• 信息安全 • 上一篇    下一篇

离散时间下混合型良性蠕虫的建模仿真分析

林锦贤1,林军青2   

  1. 1. 福州大学 福建省超级计算中心,福州 350108
    2. 福州大学 数学与计算机科学学院,福州 350108
  • 收稿日期:2011-06-01 修回日期:2011-07-06 发布日期:2011-11-16 出版日期:2011-11-01
  • 通讯作者: 林锦贤
  • 作者简介:林锦贤(1957-), 男, 福建南安人,教授, 博士, 主要研究方向:网络信息安全;林军青(1987-),男,福建莆田人,硕士研究生,主要研究方向:网络信息安全。
  • 基金资助:
    福建省高校科研专项

Modeling and analysis of discrete-time hybrid-benign worms

LIN Jin-xian1,LIN Jun-qing2   

  1. 1. Fujian Suppercomputing Center, Fuzhou University, Fuzhou Fujian 350108, China
    2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China
  • Received:2011-06-01 Revised:2011-07-06 Online:2011-11-16 Published:2011-11-01
  • Contact: LIN Jin-xian
  • Supported by:
    Special Project of Science and Technology for the Institutes in Fujian, China

摘要: 为了更好地刻画良性蠕虫的传播过程,采用了离散时间模型。在离散时间下,考虑恶性蠕虫和良性蠕虫传播对网络的影响,对混合型良性蠕虫的传播过程进行分析和数学建模,通过仿真验证传播模型,并引入泰勒公式对关键参数进行分析比较。理论分析和仿真实验表明,在混合型良性蠕虫释放时间和网络性能一定的条件下,存在一个临界值使得切换时间最佳,而网络敏感度足够小时,不同的切换时间对感染类主机数量的变化几乎没有影响。

关键词: 良性蠕虫, 离散时间模型, 混合型蠕虫建模, 网络安全

Abstract: In order to better characterize the propagation of benign worm, this paper adopted a discrete-time model. Under discrete time, the paper analyzed the propagation of hybrid-benign worms and presented a mathematical modeling, which took account of the network influence due to the spread of malicious worms and benign worms. Finally, the simulation validated the propagation model, and the key parameters were compared and analyzed with Taylor Equation. The theoretical analysis and experimental results indicate that there exists a critical value of switch time under a defined release time of hybrid-benign worms and the certain performance of network. And when the sensitivity of the network is small enough, different switch time would have no influence on the movement of the number of the infected hosts.

Key words: benign worm, discrete time model, hybrid worm modeling, network security