Periodic solutions of a neutral impulsive differential equation
In this paper, we consider a neutral impulsive differential equation. An impulsive predatorprey model with non-monotonic functional response is investigated. Some novel sufficient conditions are obtained for the nonexistence of periodic solutions and the global existence of at least one or two posit...
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Academic Journals Center of Shanghai Normal University
2017-06-01
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doaj-6059061fc2cd4e16894dc90145bd1ed22020-11-24T23:10:18ZengAcademic Journals Center of Shanghai Normal UniversityJournal of Shanghai Normal University (Natural Sciences)1000-51371000-51372017-06-0146334335710.3969/J.ISSN.100-5137.2017.03.00220170302Periodic solutions of a neutral impulsive differential equationHu Mi0Xia Yonghui1School of Mathematical Sciences, Huaqiao UniversitySchool of Mathematical Sciences, Huaqiao UniversityIn this paper, we consider a neutral impulsive differential equation. An impulsive predatorprey model with non-monotonic functional response is investigated. Some novel sufficient conditions are obtained for the nonexistence of periodic solutions and the global existence of at least one or two positive periodic solutions. Our method is based on Mawhin's coincidence degree and novel estimation techniques for the priori bounds of unknown solutions. An application is presented to illustrate the feasibility and effectiveness of our main results.http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20170302&flag=1predator-prey modelperiodic solutionneutralimpulsive |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Hu Mi Xia Yonghui |
spellingShingle |
Hu Mi Xia Yonghui Periodic solutions of a neutral impulsive differential equation Journal of Shanghai Normal University (Natural Sciences) predator-prey model periodic solution neutral impulsive |
author_facet |
Hu Mi Xia Yonghui |
author_sort |
Hu Mi |
title |
Periodic solutions of a neutral impulsive differential equation |
title_short |
Periodic solutions of a neutral impulsive differential equation |
title_full |
Periodic solutions of a neutral impulsive differential equation |
title_fullStr |
Periodic solutions of a neutral impulsive differential equation |
title_full_unstemmed |
Periodic solutions of a neutral impulsive differential equation |
title_sort |
periodic solutions of a neutral impulsive differential equation |
publisher |
Academic Journals Center of Shanghai Normal University |
series |
Journal of Shanghai Normal University (Natural Sciences) |
issn |
1000-5137 1000-5137 |
publishDate |
2017-06-01 |
description |
In this paper, we consider a neutral impulsive differential equation. An impulsive predatorprey model with non-monotonic functional response is investigated. Some novel sufficient conditions are obtained for the nonexistence of periodic solutions and the global existence of at least one or two positive periodic solutions. Our method is based on Mawhin's coincidence degree and novel estimation techniques for the priori bounds of unknown solutions. An application is presented to illustrate the feasibility and effectiveness of our main results. |
topic |
predator-prey model periodic solution neutral impulsive |
url |
http://qktg.shnu.edu.cn/zrb/shsfqkszrb/ch/reader/view_abstract.aspx?file_no=20170302&flag=1 |
work_keys_str_mv |
AT humi periodicsolutionsofaneutralimpulsivedifferentialequation AT xiayonghui periodicsolutionsofaneutralimpulsivedifferentialequation |
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1725607833772228608 |