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.