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对等网络中被动型蠕虫传播动力学建模与分析

张舒娟 张娟

计算机工程与应用2019,Vol.55Issue(11):60-66,7.
计算机工程与应用2019,Vol.55Issue(11):60-66,7.DOI:10.3778/j.issn.1002-8331.1812-0039

对等网络中被动型蠕虫传播动力学建模与分析

Dynamical Modeling and Analysis of Passive Worms Propagation in P2P Networks

张舒娟 1张娟2

作者信息

  • 1. 中北大学 大数据学院,太原 030051
  • 2. 山西大学 复杂系统研究所,太原 030006
  • 折叠

摘要

Abstract

Passive worms pose a threat to the security of the network. In this paper, considering network heterogeneity and the number of hops a search can reach, a novel dynamical model with recruitment rate and removal rate is proposed. The threshold, the basic reproduction number, is derived, which decides whether passive worms can spread. And the stabili-ties of the worm-free equilibrium and positive equilibrium are analyzed. Finally, the correctness of the theory is verified by numerical simulation, and the sensitivity of parameters is analyzed. The results show that if the basic reproduction number is greater than 1, the propagation speed of passive worms is accelerated with the increase of hop count, which increases the number of infected nodes. If the basic reproduction number is less than 1, the number of infected nodes decreases rapidly with the increase of hop count and passive worms are extinct eventually.

关键词

网络安全/动力学建模/异质网络/被动型蠕虫

Key words

network security/dynamical modeling/heterogeneous network/passive worm

分类

信息技术与安全科学

引用本文复制引用

张舒娟,张娟..对等网络中被动型蠕虫传播动力学建模与分析[J].计算机工程与应用,2019,55(11):60-66,7.

基金项目

国家自然科学基金(No.11601292). (No.11601292)

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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