基于隔离策略的蠕虫传播模型研究

Worm propagation modeling and analysis based on quarantine

在Kermack-McKendrick模型的基础上提出了具有隔离策略的蠕虫传播模型。分析了各类平衡点存在的阈值条件,通过线性化和构造Liapunov泛函,得到了各类平衡点全局稳定的条件。研究表明,该模型能有效地防止蠕虫大面积的传播,数值仿真验证了所得的结论。

This paper presented a worm propagation model with quarantine strategy based on the classical epidemic Kermack- McKendrick model. Established the conditions and threshold to the existence of various equilibriums. By means of linearization and constructing Liapunov functional, obtained the conditions about the globally asymptotic stability. The analysis shows that the model can efficiently prevent worms＇ propagation. Numerical simulations confirmed our theoretical results.