Multiple Periodic Solutions of an Impulsive Population System with Delays

Multiple Periodic Solutions of an Impulsive Population System with Delays

A nonautonomous plant-hare model with impulse is considered. By using the continuation theorem of coincidence degree theory, we present an easily verifiable sufficient condition on the existence of multiple periodic solutions. Though Gao et al. (2014) considered the periodic solutions of plant-hare...

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Main Authors: Wenbo Zhao, Caochuan Ma, Lijun Chen
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/531932
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spelling doaj-9d7bc2cdba974b73881d1df76bb56e242020-11-24T22:30:28ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/531932531932Multiple Periodic Solutions of an Impulsive Population System with DelaysWenbo Zhao0Caochuan Ma1Lijun Chen2School of Physics and Information, Tianshui Normal University, Tianshui, Gansu 741000, ChinaSchool of Mathematics and Statistics, Tianshui Normal University, Tianshui, Gansu 741000, ChinaDepartment of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, ChinaA nonautonomous plant-hare model with impulse is considered. By using the continuation theorem of coincidence degree theory, we present an easily verifiable sufficient condition on the existence of multiple periodic solutions. Though Gao et al. (2014) considered the periodic solutions of plant-hare model, such model with impulses and delay has not been studied in previous paper.http://dx.doi.org/10.1155/2014/531932
collection DOAJ
language English
format Article
sources DOAJ
author Wenbo Zhao
Caochuan Ma
Lijun Chen
spellingShingle Wenbo Zhao
Caochuan Ma
Lijun Chen
Multiple Periodic Solutions of an Impulsive Population System with Delays
Abstract and Applied Analysis
author_facet Wenbo Zhao
Caochuan Ma
Lijun Chen
author_sort Wenbo Zhao
title Multiple Periodic Solutions of an Impulsive Population System with Delays
title_short Multiple Periodic Solutions of an Impulsive Population System with Delays
title_full Multiple Periodic Solutions of an Impulsive Population System with Delays
title_fullStr Multiple Periodic Solutions of an Impulsive Population System with Delays
title_full_unstemmed Multiple Periodic Solutions of an Impulsive Population System with Delays
title_sort multiple periodic solutions of an impulsive population system with delays
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description A nonautonomous plant-hare model with impulse is considered. By using the continuation theorem of coincidence degree theory, we present an easily verifiable sufficient condition on the existence of multiple periodic solutions. Though Gao et al. (2014) considered the periodic solutions of plant-hare model, such model with impulses and delay has not been studied in previous paper.
url http://dx.doi.org/10.1155/2014/531932
work_keys_str_mv AT wenbozhao multipleperiodicsolutionsofanimpulsivepopulationsystemwithdelays
AT caochuanma multipleperiodicsolutionsofanimpulsivepopulationsystemwithdelays
AT lijunchen multipleperiodicsolutionsofanimpulsivepopulationsystemwithdelays
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