Periodic Solutions of a Stage-Structured Plant-Hare Model with Toxin-Determined Functional Responses

The purpose of this paper is to obtain some sufficient conditions for the global existence of multiple positive periodic solutions of a delayed stage-structured plant-hare model with a toxin-determined functional response. Some novel estimation techniques to construct two open subsets for a priori b...

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Main Authors: Huicheng Wang, Patricia J. Y. Wong, Yonghui Xia
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/357534
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author Huicheng Wang
Patricia J. Y. Wong
Yonghui Xia
author_facet Huicheng Wang
Patricia J. Y. Wong
Yonghui Xia
author_sort Huicheng Wang
collection DOAJ
description The purpose of this paper is to obtain some sufficient conditions for the global existence of multiple positive periodic solutions of a delayed stage-structured plant-hare model with a toxin-determined functional response. Some novel estimation techniques to construct two open subsets for a priori bounds are employed.
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institution Kabale University
issn 1085-3375
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publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-fe00bcc780ef4b8abff3ba0a0eeb660e2025-08-20T03:25:46ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/357534357534Periodic Solutions of a Stage-Structured Plant-Hare Model with Toxin-Determined Functional ResponsesHuicheng Wang0Patricia J. Y. Wong1Yonghui Xia2Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, ChinaSchool of Electrical and Electronic Engineering, Nanyang Technological University, 639798, SingaporeDepartment of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, ChinaThe purpose of this paper is to obtain some sufficient conditions for the global existence of multiple positive periodic solutions of a delayed stage-structured plant-hare model with a toxin-determined functional response. Some novel estimation techniques to construct two open subsets for a priori bounds are employed.http://dx.doi.org/10.1155/2014/357534
spellingShingle Huicheng Wang
Patricia J. Y. Wong
Yonghui Xia
Periodic Solutions of a Stage-Structured Plant-Hare Model with Toxin-Determined Functional Responses
Abstract and Applied Analysis
title Periodic Solutions of a Stage-Structured Plant-Hare Model with Toxin-Determined Functional Responses
title_full Periodic Solutions of a Stage-Structured Plant-Hare Model with Toxin-Determined Functional Responses
title_fullStr Periodic Solutions of a Stage-Structured Plant-Hare Model with Toxin-Determined Functional Responses
title_full_unstemmed Periodic Solutions of a Stage-Structured Plant-Hare Model with Toxin-Determined Functional Responses
title_short Periodic Solutions of a Stage-Structured Plant-Hare Model with Toxin-Determined Functional Responses
title_sort periodic solutions of a stage structured plant hare model with toxin determined functional responses
url http://dx.doi.org/10.1155/2014/357534
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AT yonghuixia periodicsolutionsofastagestructuredplantharemodelwithtoxindeterminedfunctionalresponses