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

被引：19

作者：

Xu, Changjin ^{[1
]}

Liao, Maoxin ^{[2
]}

Li, Peiluan ^{[3
]}

Xiao, Qimei ^{[4
]}

Yuan, Shuai ^{[5
]}

机构：

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

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

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

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

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

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2019年 / 16卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Nicholson's blowflies model; almost periodic solution; exponential dichotomy; time delay; GLOBAL ASYMPTOTIC-BEHAVIOR; GORDON-MAXWELL SYSTEMS; GROUND-STATE SOLUTIONS; POSITIVE SOLUTIONS; NEURAL-NETWORKS; DISCRETE MODEL; STABILITY; EXISTENCE; ATTRACTIVITY; OSCILLATION;

D O I：

10.3934/mbe.2019189

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

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 those of the previous studies. The approach is new.

引用

页码：3830 / 3840

页数：11

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