邮件病毒传播的迭代模型

邮件病毒的传播不同于流行病的传播，如不同的邮件用户的杀毒率、打开附件的概率以及发送邮件的频率是不同的。为群组定义了一个通信频率邻接矩阵，并借助该矩阵建立了一个可以递推的离散模型。从理论上证明了邮件病毒在群组中消亡的充要条件为群组的谱半径小于1，为实际工作中降低邮件病毒的感染率提供了理论依据。对模型进行了模拟实验，实验数据证明了模型的有效性。

Recursive Spreading Model for E-mail Viruses

The paper points out that E-mail viruses have different spreading features compared with biologic viruses such as different E-mail users have different cleaning frequency, different probability of opening stranger attachment and different frequency of sending E-mails. Then the paper defines a communication matrix for the group which includes the three key factors of every email user. Based on the matrix, the paper constructs a recursive formula to describe the spreading of E-mail viruses in the group. It studies the die out condition of the virus in a particular group and mathematically proves that E-mail virus die out in the group if and only if the convergence radius of the matrix of the group must less than 1. The simulation tests are carried and the results are found fit well with the discrete model.