Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays

This paper addresses the global existence and global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays. By using a novel approach, sufficient conditions are derived for the existence and global exponential convergence of positive solutions of...

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Main Author: Van Hien, Le
Format: Online
Language:English
Published: Taylor & Francis 2014
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4220850/
id pubmed-4220850
recordtype oai_dc
spelling pubmed-42208502014-11-17 Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays Van Hien, Le Original Articles This paper addresses the global existence and global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays. By using a novel approach, sufficient conditions are derived for the existence and global exponential convergence of positive solutions of the model without any restriction on uniform positiveness of the per capita dead rate. Numerical examples are provided to illustrate the effectiveness of the obtained results. Taylor & Francis 2014-01-01 2014-05-21 /pmc/articles/PMC4220850/ /pubmed/24963982 http://dx.doi.org/10.1080/17513758.2014.917725 Text en © 2014 The Author(s). Published by Taylor & Francis. http://creativecommons.org/licenses/by/3.0/ This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The moral rights of the named author(s) have been asserted.
repository_type Open Access Journal
institution_category Foreign Institution
institution US National Center for Biotechnology Information
building NCBI PubMed
collection Online Access
language English
format Online
author Van Hien, Le
spellingShingle Van Hien, Le
Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays
author_facet Van Hien, Le
author_sort Van Hien, Le
title Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays
title_short Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays
title_full Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays
title_fullStr Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays
title_full_unstemmed Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays
title_sort global asymptotic behaviour of positive solutions to a non-autonomous nicholson's blowflies model with delays
description This paper addresses the global existence and global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays. By using a novel approach, sufficient conditions are derived for the existence and global exponential convergence of positive solutions of the model without any restriction on uniform positiveness of the per capita dead rate. Numerical examples are provided to illustrate the effectiveness of the obtained results.
publisher Taylor & Francis
publishDate 2014
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4220850/
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