Abstract
In this paper, a worm propagation model with pulse quarantine strategy is proposed to control the spread of the worm. This model which combines both the pulse quarantine and the constant quarantine strategy not only describes the propagation of the worm well and but also makes the infections eradicated effectively. Here, we show that there exits a stable infection-free periodic solution of the system and its stability condition is obtained. Finally, the numerical and simulation results of the pulse quarantine strategy is given, which indicate that the infections will get eliminated and the pulse quarantine policy has a nice performance on the worm control