Modeling and Analyzing the Spread of Worms with Bilinear Incidence Rate

In recent years, network worm that had a dramatic increase in the frequency and virulence of such outbreaks have become one of the major threats to the security of the Internet. 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 paper, a new worm propagation model with bilinear incidence rate is proposed and discussed based on the classical Kermack-Mckendrick (KM) model. It supports the increase rate of new hosts and the decrease rate of hosts leaving from the network. Moreover, global stability of equilibriums of the model is analyzed in detail; the numerical simulations confirmed well the theoretical results. So our study can provide insight into taking effective measures to prevent and control the spread of worm in the network.