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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Main Authors:	Chuangxia Huang, Renli Su, Yuhui Hu
Format:	Article
Language:	English
Published:	Taylor & Francis Group 2020-01-01
Series:	Journal of Biological Dynamics
Subjects:	nicholson's blowflies system patch structure density-dependent mortality term almost periodic solution global attractivity
Online Access:	http://dx.doi.org/10.1080/17513758.2020.1800841

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spelling	doaj-eab42d017d9d40d6bdeddbca717ee99d2020-11-25T03:24:00ZengTaylor & 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Chuangxia Huang Renli Su Yuhui Hu
spellingShingle	Chuangxia Huang Renli Su Yuhui Hu Global convergence dynamics of almost periodic delay Nicholson's blowflies systems Journal of Biological Dynamics nicholson's blowflies system patch structure density-dependent mortality term almost periodic solution global attractivity
author_facet	Chuangxia Huang Renli Su Yuhui Hu
author_sort	Chuangxia Huang
title	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_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_sort	global convergence dynamics of almost periodic delay nicholson's blowflies systems
publisher	Taylor & Francis Group
series	Journal of Biological Dynamics
issn	1751-3758 1751-3766
publishDate	2020-01-01
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.
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
work_keys_str_mv	AT chuangxiahuang globalconvergencedynamicsofalmostperiodicdelaynicholsonsblowfliessystems AT renlisu globalconvergencedynamicsofalmostperiodicdelaynicholsonsblowfliessystems AT yuhuihu globalconvergencedynamicsofalmostperiodicdelaynicholsonsblowfliessystems
_version_	1724604141326565376

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

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