A new method to investigate almost periodic solutions for an Nicholson’s blowflies model with time-varying delays and a linear harvesting term

Mathematical Biosciences and Engineering

Changjin Xu¹  Maoxin Liao²  Peiluan Li³  Qimei Xiao⁴  Shuai Yuan⁵ 

[1] 1. Guizhou Key Laboratory of Economics System Simulation Guizhou University of Finance and Economics, Guiyang 550004, PR China;2. School of Mathematics and Physics, University of South China Hengyang 421001, PR China;3. School of Mathematics and Statistics, Henan University of Science and Technology Luoyang 471023, PR China;4. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science and Technology, Changsha 410114, PR China;5. School of Mathematics and Statistics, Central South University Changsha 410083, PR China;

关键词: nicholson;    s blowflies model;    almost periodic solution;    exponential dichotomy;    timedelay;   

DOI  :  10.3934/mbe.2019189

来源: DOAJ

【 摘 要 】

In this paper, a delayed Nicholsonos blowflies model with a linear harvesting term is investigated. By transforming the model into an equivalent integral equation, and applying a fixed point theorem inc ones, we establish a sufficient condition which ensure the existence of positive almost periodic solutions for the Nicholsonos blowflies model. The results of this paper are completely new and complement those of the previous studies. The approach is new.

【 授权许可】

Unknown