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。 P2P botnets have become one of the most serious threats in the Internet security arena. In order to effectively contain P2P botnets, this paper proposes a new model to characterize P2P botnet formation. This model is a SEIR model with time delay. Based on the distribution range of eigenvalues ​​of the eigenvalue equation, the local stability of the model at the equilibrium point is analyzed. Both theoretical analysis and numerical simulation results show that the kinetic characteristics of the time-delay model depend on the basic reproduction number R0 and the time delay τ. The results of this paper contribute to a better understanding of the P2P botnet’s propagation behavior and to design effective countermeasures accordingly.