Abstract: A network spread model of “protecting worms” is put forward. The model has a good performance in large-scaled antivirus as well as a controllable character to balance the load of network and spread speed through several parameters. Furthermore, a new mathematic model for the network spread model is developed from the Kermack-Mckendrick formulas which suit for the traditional worm spread pattern. For the testing purpose, a simplified mathematic model is set up to predict the spreading speed. The data indicate an approximate exponential rate in spread speed.

Key words: ‘‘protecting worm’’, Spread model, Random address algorithm

摘要： 提出了一种“益虫”的网络扩散模型。该模型具有良好的可控性，能保证杀毒面积的广度，并能通过调节若干参数平衡对网络负荷与扩散速度的不同要求。文章改进了适用于传统蠕虫扩散模式的Kermack-Mckendrick公式，形成适用于新扩散方式的数学模型。为了进一步测试与分析，对同一个网络扩散模型建立了简化的数学模型，测试表明该模型的扩散速度近似为指数级。

关键词: “益虫”, 扩散模型, 随机地址算法

CLC Number: 

• TP393.08