An impulse dynamic model for computer worms

Abstract

A worm spread model concerning impulsive control strategy is proposed and analyzed. We prove that there exists a globally attractive virus-free periodic solution when the vaccination rate is larger than θ 1. Moreover, we show that the system is uniformly persistent if the vaccination rate is less than θ 1. Some numerical simulations are also given to illustrate our main results. © 2013 Chunming Zhang et al.