Dynamic Analysis of an Impulsively Controlled One-Prey Two-Predator System

In this paper, by using the theories and methods of ecology and ordinary differential equation, an impulsively controlled one-prey two-predator system is established. And we consider the globally asymptotically stable of prey and one predator eradication periodic solution. Furthermore, numerical simulations are also illustrated which agree well with our theoretical analysis, All these results may be useful in study of the dynamic complexity of ecosystems.