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Existence and Convergence Dynamics of Pseudo Almost Periodic Solutions for Nicholson’s Blowflies Model with Time-Varying Delays and a Harvesting Term

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成果类型:
期刊论文
作者:
Xu, Changjin*;Liao, Maoxin;Pang, Yicheng
通讯作者:
Xu, Changjin
作者机构:
[Xu, Changjin] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.
[Liao, Maoxin] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
[Pang, Yicheng] Guizhou Univ Finance & Econ, Sch Math & Stat, Guiyang 550004, Peoples R China.
通讯机构:
[Xu, Changjin] G
Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550004, Peoples R China.
语种:
英文
关键词:
34C2534K13ConvergenceHarvesting termNicholson's blowflies modelPseudo almost periodic solutionTime-varying delay
期刊:
Acta Applicandae Mathematicae
ISSN:
0167-8019
年:
2016
卷:
146
期:
1
页码:
95-112
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11261010, 11526063]; Natural Science and Technology Foundation of Guizhou Province [J[2015]2025, J[2015]2026]; 125 Special Major Science and Technology of Department of Education of Guizhou Province [[2012]011]; Natural Science Foundation of the Education Department of Guizhou Province [KY[2015]482]
机构署名:
本校为其他机构
院系归属:
数理学院
摘要:
In this paper, an Nicholson’s blowflies model with time-varying delays and a harvesting term is investigated. By applying the fixed point theorem, the properties of pseudo almost periodic function, inequality analysis technique and constructing appropriate Lyapunov functionals, we establish some new criteria for the existence and convergence dynamics of pseudo almost periodic solutions for the model. An illustrative example with its numerical simulation is presented to demonstrate the effectiveness of the derived results. Our results complement some ...

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