Existence and Nonexistence of Positive Periodic Solution for Impulsive Nicholson's Blowflies Model

In this paper, impulsive Nicholson's blowflies model is studied. By using Leray-Schauder fixed point theorem, we obtain some sufficient conditions for the existence of positive periodic solution. In addition, the nonexistence of positive periodic solution is also investigated. Our results extend and improve the previous literatures.