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

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成果类型：

期刊论文

作者：

Xu, Changjin*;Liao, Maoxin;Li, Peiluan;Xiao, Qimei;Yuan, Shuai

通讯作者：

Xu, Changjin

作者机构：

[Xu, Changjin] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Guizhou, Peoples R China

[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China

[Li, Peiluan] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China

[Xiao, Qimei] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha 410114, Hunan, Peoples R China

[Yuan, Shuai] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

通讯机构：

[Xu, Changjin] G

Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Guizhou, Peoples R China.

语种：

英文

关键词：

Nicholson's blowflies model;almost periodic solution;exponential dichotomy;timedelay

期刊：

MATHEMATICAL BIOSCIENCES AND ENGINEERING

ISSN：

1547-1063

年：

2019

卷：

期：

页码：

3830-3840

DOI：

10.3934/mbe.2019189

基金类别：

National National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61673008]; Project of High-level Innovative Talents of Guizhou Province [[2016]5651]; Major Research Project of The Innovation Group of The Education Department of Guizhou Province [[2017]039]; Key Laboratory of Guizhou Province with Financial and Physical Features [[2017]004]; Foundation of Science and Technology of Guizhou Province [[2018]1025, [2018]1020]; Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering (Changsha University of Science Technology) [2018MMAEZD21]

机构署名：

本校为其他机构

院系归属：

数理学院

摘要：

In this paper, a delayed Nicholson's blowflies model with a linear harvesting term is investigated. By transforming the model into an equivalent integral equation, and applying a fixed point theorem in cones, we establish a sufficient condition which ensure the existence of positive almost periodic solutions for the Nicholson's blowflies model. The results of this paper are completely new and complement t...

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

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