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

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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Main Authors: Qiaoqin Gao, Zhen Jin
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/512838
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spelling doaj-7793b7335cda40ccbd7fbf181cf1a6ec2020-11-25T01:40:37ZengHindawi LimitedThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/512838512838A Time Delay Predator-Prey System with Three-Stage-StructureQiaoqin Gao0Zhen Jin1Department of Mathematics, Lvliang University, Lishi, Lvliang City, Shanxi 033001, ChinaDepartment of Mathematics, Shanxi University, Taiyuan, Shanxi 030006, ChinaA 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.http://dx.doi.org/10.1155/2014/512838
collection DOAJ
language English
format Article
sources DOAJ
author Qiaoqin Gao
Zhen Jin
spellingShingle Qiaoqin Gao
Zhen Jin
A Time Delay Predator-Prey System with Three-Stage-Structure
The Scientific World Journal
author_facet Qiaoqin Gao
Zhen Jin
author_sort Qiaoqin Gao
title A Time Delay Predator-Prey System with Three-Stage-Structure
title_short 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_sort time delay predator-prey system with three-stage-structure
publisher Hindawi Limited
series The Scientific World Journal
issn 2356-6140
1537-744X
publishDate 2014-01-01
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.
url http://dx.doi.org/10.1155/2014/512838
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AT zhenjin atimedelaypredatorpreysystemwiththreestagestructure
AT qiaoqingao timedelaypredatorpreysystemwiththreestagestructure
AT zhenjin timedelaypredatorpreysystemwiththreestagestructure
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