P2P僵尸网络的新型数学模型(英文)

A novel mathematical model on Peer-to-Peer botnet

P2P僵尸网络已成为互联网安全领域最严重的威胁之一。为了有效地遏制P2P僵尸网络,本文提出刻画P2P僵尸网络形成过程的一种新模型,该模型是带时滞的SEIR模型。基于特征方程特征值的分布范围,分析了模型在平衡点的局部稳定性。理论分析和数值模拟结果都表明,该时滞模型的动力学特征依赖于基本再生数R0和时间延迟τ。本文的结果有助于更好地了解P2P僵尸网络的传播行为,并据此设计有效的反制措施。

Peer-to-Peer （P2P） botnet has emerged as one of the most serious threats to lnternet security. To effectively elimi- nate P2P botnet, a delayed SEIR model is proposed,which can portray the formation process of P2P botnet. Then, the local stability at equilibria is carefully analyzed by considering the eigenvalues＇ distributed ranges of characteristic equations. Both mathematical analysis and numerical simulations show that the dynamical features of the proposed model rely on the basic re- production number and time delay r. The results can help us to better understand the propagation behaviors of P2P botnet and design effective counter-botnet methods.