Existence and Exponential Stability of the Unique Almost Periodic Positive Solution for Discrete Nicholson's Blowflies Model

摘要

This paper deals with a discrete Nicholson's blowflies model. By using contraction mapping fixed point theorem, we obtain sufficient conditions for the existence of unique almost periodic positive solution. Moreover, we investigate exponential stability of the almost periodic positive solution by Liapunov functional. We obtain new results and complement the previously obtained results in the past literatures.