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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Detalles Bibliográficos
Autor principal: Van Hien, Le
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Taylor & Francis 2014
Materias:
Original Articles
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4220850/
https://www.ncbi.nlm.nih.gov/pubmed/24963982
http://dx.doi.org/10.1080/17513758.2014.917725
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author Van Hien, Le
author_facet Van Hien, Le
author_sort Van Hien, Le
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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.
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spelling pubmed-42208502014-11-17 Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays Van Hien, Le J Biol Dyn 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.
spellingShingle Original Articles
Van Hien, Le
Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays
title 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_short 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
topic Original Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4220850/
https://www.ncbi.nlm.nih.gov/pubmed/24963982
http://dx.doi.org/10.1080/17513758.2014.917725
work_keys_str_mv AT vanhienle globalasymptoticbehaviourofpositivesolutionstoanonautonomousnicholsonsblowfliesmodelwithdelays

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