一个计算机病毒传播数学模型的建立与研究

基于流行病数学模型的建模方法,建立了一个对等网中的关于计算机病毒传播的时滞微分方程模型,模型中考虑了计算机病毒的潜伏期与反病毒技术出现时间。利用微分动力系统理论研究了单种计算机病毒的传播规律,得到了病毒是否消除的阈值。最后对论文结果进行了讨论与数值模拟。论文的研究成果为计算机病毒控制提供理论基础。

Construction and Analysis of a Mathematical Model for the Computer Virus Propagation

Based on construction methods of the epidemic models,we derive a delayed differential equation model for the spreading of computer viruses under the P-P network.Combined into the model are the latent period of computer virus and the developed time of antivirus techniques.Using the theory of differential dynamical system,we discuss the propagation regularity of computer virus, and the thresholds are obtained.At last,results are discussed and a numerical simulation is carried out.This research provides theoretical bases for the computer virus control.