Internet worms have drawn significant attention due to their enormous threats to the Internet. Inspired by the predator/prey model in the biology, this paper uses a mathematical model to study the interaction between worms (preys)and benign worms(predators). A new interaction model is proposed to combat the propagation of worms. In virtue of this model, the basic reproduction number that governs whether or not a worm is extinct is obtained. The impact of different parameters of predators is studied. Simulat...