具有线性收获项的Nicholson's Blowflies差分模型正概周期解的存在唯一性与指数收敛性(英文)

Uniqueness and Exponential Convergence of the Positive Almost Periodic Solution for a Difference Model of the Nicholson's Blowflies with Linear Harvesting Term

本文研究具有线性收获项的Nicholson's Blowflies差分模型,运用压缩映射不动点定理,获得存在唯一的正概周期解的充分条件.此外,通过利用Liapunov泛函研究正概周期解的指数收敛性,解决了L.Berezansky 2010年提出的一个公开问题.

This paper deals with a Nicholson＇s blowflies difference model with linear harvesting term. By using contraction mapping fixed point theorem, we obtain sufficient conditions for the existence of unique positive almost periodic solution. Moreover,we investigate exponential convergence of the positive almost periodic solution by Liapunov functional. We solve the open problem proposed by L. Berezansky（2010）.