A new computer virus model with impulsive vaccination and saturation effect

摘要

This paper investigates the qualitative issue of a new mathematical model with impulsive vaccination and saturation effect. It aims to understand how the impulsive vaccination affects the spread of electronic viruses. So we establish a new mathematical model. A complete analysis of this model shows that the dynamical properties of the model is relating to the basic reproduction ratio. Some numerical examples also justify the proposed model.