Impulsive control of the spread of worms with nonlinear incidence rates

There has been a constant barrage of worms over the internet during the recent past. To develop appropriate tools for thwarting quick spread of worms, researchers are trying to understand the behavior of the worm propagation with the aid of epidemiological models. In this study, a SIR epidemic model with dynamic input-output property and nonlinear incidence rates is presented. The dynamics of this model under pulse control are analyzed. We established the conditions and threshold to the existence of the disease-free T-Periodic solution and proved that the disease-free T-Periodic solution is globally asymptotically stable.