Global convergence dynamics of almost periodic delay Nicholson's blowflies systems

We take into account nonlinear density-dependent mortality term and patch structure to deal with the global convergence dynamics of almost periodic delay Nicholson's blowflies system in this paper. To begin with, we prove that the solutions of the addressed system exist globally and are bounded...

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出版年:Journal of Biological Dynamics
主要な著者: Chuangxia Huang, Renli Su, Yuhui Hu
フォーマット: 論文
言語:英語
出版事項: Taylor & Francis Group 2020-01-01
主題:
オンライン・アクセス:http://dx.doi.org/10.1080/17513758.2020.1800841
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author Chuangxia Huang
Renli Su
Yuhui Hu
author_facet Chuangxia Huang
Renli Su
Yuhui Hu
author_sort Chuangxia Huang
collection DOAJ
container_title Journal of Biological Dynamics
description We take into account nonlinear density-dependent mortality term and patch structure to deal with the global convergence dynamics of almost periodic delay Nicholson's blowflies system in this paper. To begin with, we prove that the solutions of the addressed system exist globally and are bounded above. What's more, by the methods of Lyapunov function and analytical techniques, we establish new criteria to check the existence and global attractivity of the positive asymptotically almost periodic solution. In the end, we arrange an example to illustrate the effectiveness and feasibility of the obtained results.
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spelling doaj-art-eab42d017d9d40d6bdeddbca717ee99d2025-08-19T20:12:17ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662020-01-0114163365510.1080/17513758.2020.18008411800841Global convergence dynamics of almost periodic delay Nicholson's blowflies systemsChuangxia Huang0Renli Su1Yuhui Hu2School of Mathematics and Statistics, Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and TechnologySchool of Mathematics and Statistics, Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science and TechnologyCollege of Mathematics and Information Science, Jiangxi Normal UniversityWe take into account nonlinear density-dependent mortality term and patch structure to deal with the global convergence dynamics of almost periodic delay Nicholson's blowflies system in this paper. To begin with, we prove that the solutions of the addressed system exist globally and are bounded above. What's more, by the methods of Lyapunov function and analytical techniques, we establish new criteria to check the existence and global attractivity of the positive asymptotically almost periodic solution. In the end, we arrange an example to illustrate the effectiveness and feasibility of the obtained results.http://dx.doi.org/10.1080/17513758.2020.1800841nicholson's blowflies systempatch structuredensity-dependent mortality termalmost periodic solutionglobal attractivity
spellingShingle Chuangxia Huang
Renli Su
Yuhui Hu
Global convergence dynamics of almost periodic delay Nicholson's blowflies systems
nicholson's blowflies system
patch structure
density-dependent mortality term
almost periodic solution
global attractivity
title Global convergence dynamics of almost periodic delay Nicholson's blowflies systems
title_full Global convergence dynamics of almost periodic delay Nicholson's blowflies systems
title_fullStr Global convergence dynamics of almost periodic delay Nicholson's blowflies systems
title_full_unstemmed Global convergence dynamics of almost periodic delay Nicholson's blowflies systems
title_short Global convergence dynamics of almost periodic delay Nicholson's blowflies systems
title_sort global convergence dynamics of almost periodic delay nicholson s blowflies systems
topic nicholson's blowflies system
patch structure
density-dependent mortality term
almost periodic solution
global attractivity
url http://dx.doi.org/10.1080/17513758.2020.1800841
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AT renlisu globalconvergencedynamicsofalmostperiodicdelaynicholsonsblowfliessystems
AT yuhuihu globalconvergencedynamicsofalmostperiodicdelaynicholsonsblowfliessystems