Novel stability criteria on nonlinear density-dependent mortality Nicholson’s blowflies systems in asymptotically almost periodic environments

Novel stability criteria on nonlinear density-dependent mortality Nicholson’s blowflies systems in asymptotically almost periodic environments

Abstract In this paper, we consider nonlinear density-dependent mortality Nicholson’s blowflies system involving patch structures and asymptotically almost periodic environments. By developing an approach based on differential inequality techniques coupled with the Lyapunov function method, some cri...

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Main Authors: Chaofan Qian, Yuhui Hu
Format: Article
Language:English
Published: SpringerOpen 2020-01-01
Series:Journal of Inequalities and Applications
Subjects:
Nicholson’s blowflies system
Asymptotically almost periodic solution
Nonlinear density-dependent mortality
Global attractivity
Online Access:https://doi.org/10.1186/s13660-019-2275-4
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spelling doaj-6a916152646041d78bd84e41cc0d5da02021-01-17T12:03:39ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-01-012020111810.1186/s13660-019-2275-4Novel stability criteria on nonlinear density-dependent mortality Nicholson’s blowflies systems in asymptotically almost periodic environmentsChaofan Qian0Yuhui Hu1School of Mathematics and Statistics, Changsha University of Science and TechnologyCollege of Mathematics and Information Science, Jiangxi Normal UniversityAbstract In this paper, we consider nonlinear density-dependent mortality Nicholson’s blowflies system involving patch structures and asymptotically almost periodic environments. By developing an approach based on differential inequality techniques coupled with the Lyapunov function method, some criteria are demonstrated to guarantee the global attractivity of the addressed systems. Finally, we give a numerical example to illustrate the effectiveness and feasibility of the obtain results.https://doi.org/10.1186/s13660-019-2275-4Nicholson’s blowflies systemAsymptotically almost periodic solutionNonlinear density-dependent mortalityGlobal attractivity
collection DOAJ
language English
format Article
sources DOAJ
author Chaofan Qian
Yuhui Hu
spellingShingle Chaofan Qian
Yuhui Hu
Novel stability criteria on nonlinear density-dependent mortality Nicholson’s blowflies systems in asymptotically almost periodic environments
Journal of Inequalities and Applications
Nicholson’s blowflies system
Asymptotically almost periodic solution
Nonlinear density-dependent mortality
Global attractivity
author_facet Chaofan Qian
Yuhui Hu
author_sort Chaofan Qian
title Novel stability criteria on nonlinear density-dependent mortality Nicholson’s blowflies systems in asymptotically almost periodic environments
title_short Novel stability criteria on nonlinear density-dependent mortality Nicholson’s blowflies systems in asymptotically almost periodic environments
title_full Novel stability criteria on nonlinear density-dependent mortality Nicholson’s blowflies systems in asymptotically almost periodic environments
title_fullStr Novel stability criteria on nonlinear density-dependent mortality Nicholson’s blowflies systems in asymptotically almost periodic environments
title_full_unstemmed Novel stability criteria on nonlinear density-dependent mortality Nicholson’s blowflies systems in asymptotically almost periodic environments
title_sort novel stability criteria on nonlinear density-dependent mortality nicholson’s blowflies systems in asymptotically almost periodic environments
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2020-01-01
description Abstract In this paper, we consider nonlinear density-dependent mortality Nicholson’s blowflies system involving patch structures and asymptotically almost periodic environments. By developing an approach based on differential inequality techniques coupled with the Lyapunov function method, some criteria are demonstrated to guarantee the global attractivity of the addressed systems. Finally, we give a numerical example to illustrate the effectiveness and feasibility of the obtain results.
topic Nicholson’s blowflies system
Asymptotically almost periodic solution
Nonlinear density-dependent mortality
Global attractivity
url https://doi.org/10.1186/s13660-019-2275-4
work_keys_str_mv AT chaofanqian novelstabilitycriteriaonnonlineardensitydependentmortalitynicholsonsblowfliessystemsinasymptoticallyalmostperiodicenvironments
AT yuhuihu novelstabilitycriteriaonnonlineardensitydependentmortalitynicholsonsblowfliessystemsinasymptoticallyalmostperiodicenvironments
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