A Time Delay Predator-Prey System with Three-Stage-Structure

A predator-prey system was studied that has a discrete delay, stage-structure, and Beddington-DeAngelis functional response, where predator species has three stages, immature, mature, and old age stages. By using of Mawhin's continuous theorem of coincidence degree theory, a sufficient conditio...

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Detalles Bibliográficos
Autores principales: Gao, Qiaoqin, Jin, Zhen
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3988859/
https://www.ncbi.nlm.nih.gov/pubmed/25143982
http://dx.doi.org/10.1155/2014/512838
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author Gao, Qiaoqin
Jin, Zhen
author_facet Gao, Qiaoqin
Jin, Zhen
author_sort Gao, Qiaoqin
collection PubMed
description A predator-prey system was studied that has a discrete delay, stage-structure, and Beddington-DeAngelis functional response, where predator species has three stages, immature, mature, and old age stages. By using of Mawhin's continuous theorem of coincidence degree theory, a sufficient condition is obtained for the existence of a positive periodic solution.
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spelling pubmed-39888592014-08-20 A Time Delay Predator-Prey System with Three-Stage-Structure Gao, Qiaoqin Jin, Zhen ScientificWorldJournal Research Article A predator-prey system was studied that has a discrete delay, stage-structure, and Beddington-DeAngelis functional response, where predator species has three stages, immature, mature, and old age stages. By using of Mawhin's continuous theorem of coincidence degree theory, a sufficient condition is obtained for the existence of a positive periodic solution. Hindawi Publishing Corporation 2014 2014-03-27 /pmc/articles/PMC3988859/ /pubmed/25143982 http://dx.doi.org/10.1155/2014/512838 Text en Copyright © 2014 Q. Gao and Z. Jin. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Gao, Qiaoqin
Jin, Zhen
A Time Delay Predator-Prey System with Three-Stage-Structure
title A Time Delay Predator-Prey System with Three-Stage-Structure
title_full A Time Delay Predator-Prey System with Three-Stage-Structure
title_fullStr A Time Delay Predator-Prey System with Three-Stage-Structure
title_full_unstemmed A Time Delay Predator-Prey System with Three-Stage-Structure
title_short A Time Delay Predator-Prey System with Three-Stage-Structure
title_sort time delay predator-prey system with three-stage-structure
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3988859/
https://www.ncbi.nlm.nih.gov/pubmed/25143982
http://dx.doi.org/10.1155/2014/512838
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