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

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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：

Fixed point arithmetic;Integral equations;Time delay;Almost periodic solutions;Exponential dichotomy;Fixed point theorem in cones;Linear harvesting terms;Nicholson's Blowflies models;Positive almost periodic solutions;Time varying- delays;Human computer interaction;algorithm;animal;biological model;computer simulation;Diptera;female;nonlinear system;ovum;physiology;population dynamics;reproduction;signal processing;statistical model;time factor;Algorithms;Animals;Computer Simulation;Diptera;Female;Linear Models;Models, Biological;Nonlinear Dynamics;Ovum;Population Dynamics;Reproduction;Signal Processing, Computer-Assisted;Time Factors

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：

The work was supported by National National Natural Science Foundation of China (No.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), Project of Key Laboratory of Guizhou Province with Financial and Physical Features ([2017]004), Foundation of Science and Technology of Guizhou Province ([2018]1025 and [2018]1020) and 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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