Stability Analysis of a Worm Propagation Model with Quarantine and Vaccination

Abstract

Internet worms pose a serious threat to the Internet security. In order to effectively defend against Internet worms, this paper proposes a novel epidemic ＂e-SEIQV＂ model with quarantine and vaccination. Using this ＂e-SEIQV＂ model, we obtain the basic reproduction number for deter- mining whether the worm dies out completely. The global stability of the worm-free equilibrium and the local stability of endemic equilibrium are proved, and determined by the basic reproduction number. Besides the impact of different parameters of this model is studied. Simulation results show that the number of susceptible and infected hosts are consistent with the theoretical analysis. The model provides a theoretical foundation for controlling and forecasting Internet worms.