基于隔离和免疫的蠕虫传播模型及稳定性分析

网络蠕虫已经对网络基础设施和因特网服务造成了巨大的影响,为有效防御蠕虫病毒的入侵,提出了基于隔离和免疫的蠕虫传播SEIQV模型。利用SEIQV模型,得到了蠕虫是否灭绝的阈值,并从理论上证明了模型在无感染平衡点保持全局稳定性,在地方病平衡点保持局部稳定性,同时分析了其他参数对模型的影响,为蠕虫病毒的控制和预防提供了理论基础。

Stability analysis of a worm propagation model with quarantine and vaccination

In order to effectively defend against Internet worms, this paper proposes a novel epidemic SEIQV model with quarantine and vaccination. Firstly, using this SEIQV model, the basic reproduction number for determining whether the worm dies out completely is obtained. Secondly, the global stability of infection-free equilibrium and local stability of endemic equilibrium are proved, and determined by the basic reproduction number. The effect of different parameters of the proposed model is studied. Finally, simulation results show that the number of susceptible and infected hosts is consistent with theoretical analysis. The model provides a theoretical foundation for controling and forecasting Internet worms.