Multiple Periodic Solutions of a Nonautonomous Plant-Hare Model

Multiple Periodic Solutions of a Nonautonomous Plant-Hare Model

Based on Mawhin's coincidence degree theory, sufficient conditions are obtained for the existence of at least two positive periodic solutions for a plant-hare model with toxin-determined functional response (nonmonotone). Some new technique is used in this paper, because standard arguments in t...

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Main Authors: Yongfei Gao, P. J. Y. Wong, Y. H. Xia, Xiaoqing Yuan
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/130856
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spelling doaj-5ec551c693c9463a934b13c57cdd63312020-11-24T22:32:55ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/130856130856Multiple Periodic Solutions of a Nonautonomous Plant-Hare ModelYongfei Gao0P. J. Y. Wong1Y. H. Xia2Xiaoqing Yuan3Department 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, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, ChinaBased on Mawhin's coincidence degree theory, sufficient conditions are obtained for the existence of at least two positive periodic solutions for a plant-hare model with toxin-determined functional response (nonmonotone). Some new technique is used in this paper, because standard arguments in the literature are not applicable.http://dx.doi.org/10.1155/2014/130856
collection DOAJ
language English
format Article
sources DOAJ
author Yongfei Gao
P. J. Y. Wong
Y. H. Xia
Xiaoqing Yuan
spellingShingle Yongfei Gao
P. J. Y. Wong
Y. H. Xia
Xiaoqing Yuan
Multiple Periodic Solutions of a Nonautonomous Plant-Hare Model
Abstract and Applied Analysis
author_facet Yongfei Gao
P. J. Y. Wong
Y. H. Xia
Xiaoqing Yuan
author_sort Yongfei Gao
title Multiple Periodic Solutions of a Nonautonomous Plant-Hare Model
title_short Multiple Periodic Solutions of a Nonautonomous Plant-Hare Model
title_full Multiple Periodic Solutions of a Nonautonomous Plant-Hare Model
title_fullStr Multiple Periodic Solutions of a Nonautonomous Plant-Hare Model
title_full_unstemmed Multiple Periodic Solutions of a Nonautonomous Plant-Hare Model
title_sort multiple periodic solutions of a nonautonomous plant-hare model
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description Based on Mawhin's coincidence degree theory, sufficient conditions are obtained for the existence of at least two positive periodic solutions for a plant-hare model with toxin-determined functional response (nonmonotone). Some new technique is used in this paper, because standard arguments in the literature are not applicable.
url http://dx.doi.org/10.1155/2014/130856
work_keys_str_mv AT yongfeigao multipleperiodicsolutionsofanonautonomousplantharemodel
AT pjywong multipleperiodicsolutionsofanonautonomousplantharemodel
AT yhxia multipleperiodicsolutionsofanonautonomousplantharemodel
AT xiaoqingyuan multipleperiodicsolutionsofanonautonomousplantharemodel
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