On a Two-Phase Size-Structured Population Model with Infinite States-At-Birth and Distributed Delay in Birth Process

In this paper we study the two-phase size-structured population model with infinite states-at-birth and distributed delay in birth process. The model distinguishes individuals by two different status: the ‘reproductive’ stage and the ‘nonreproductive’ stage. We establish the well-posedness for this...

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Detalles Bibliográficos
Autores principales: Bai, Meng, Xu, Shihe
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Taylor & Francis 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4059473/
https://www.ncbi.nlm.nih.gov/pubmed/24963976
http://dx.doi.org/10.1080/17513758.2014.899637
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author Bai, Meng
Xu, Shihe
author_facet Bai, Meng
Xu, Shihe
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description In this paper we study the two-phase size-structured population model with infinite states-at-birth and distributed delay in birth process. The model distinguishes individuals by two different status: the ‘reproductive’ stage and the ‘nonreproductive’ stage. We establish the well-posedness for this model and show that the solution of this model exhibits asynchronous exponential growth by means of semigroups. We also consider a special case in which the individuals in the ‘reproductive’ stage and the ‘nonreproductive’ stage have the same growth rates and give a comparison between this two-phase model with the classical one-phase model.
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spelling pubmed-40594732014-06-24 On a Two-Phase Size-Structured Population Model with Infinite States-At-Birth and Distributed Delay in Birth Process Bai, Meng Xu, Shihe J Biol Dyn Research Article In this paper we study the two-phase size-structured population model with infinite states-at-birth and distributed delay in birth process. The model distinguishes individuals by two different status: the ‘reproductive’ stage and the ‘nonreproductive’ stage. We establish the well-posedness for this model and show that the solution of this model exhibits asynchronous exponential growth by means of semigroups. We also consider a special case in which the individuals in the ‘reproductive’ stage and the ‘nonreproductive’ stage have the same growth rates and give a comparison between this two-phase model with the classical one-phase model. Taylor & Francis 2014-03-25 2014-12 /pmc/articles/PMC4059473/ /pubmed/24963976 http://dx.doi.org/10.1080/17513758.2014.899637 Text en © 2014 The Author(s). Published by Taylor & Francis. http://www.informaworld.com/mpp/uploads/iopenaccess_tcs.pdf This is an open access article distributed under the Supplemental Terms and Conditions for iOpenAccess articles published in Taylor & Francis journals (http://www.informaworld.com/mpp/uploads/iopenaccess_tcs.pdf) , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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 Research Article
Bai, Meng
Xu, Shihe
On a Two-Phase Size-Structured Population Model with Infinite States-At-Birth and Distributed Delay in Birth Process
title On a Two-Phase Size-Structured Population Model with Infinite States-At-Birth and Distributed Delay in Birth Process
title_full On a Two-Phase Size-Structured Population Model with Infinite States-At-Birth and Distributed Delay in Birth Process
title_fullStr On a Two-Phase Size-Structured Population Model with Infinite States-At-Birth and Distributed Delay in Birth Process
title_full_unstemmed On a Two-Phase Size-Structured Population Model with Infinite States-At-Birth and Distributed Delay in Birth Process
title_short On a Two-Phase Size-Structured Population Model with Infinite States-At-Birth and Distributed Delay in Birth Process
title_sort on a two-phase size-structured population model with infinite states-at-birth and distributed delay in birth process
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4059473/
https://www.ncbi.nlm.nih.gov/pubmed/24963976
http://dx.doi.org/10.1080/17513758.2014.899637
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