The existence of positive periodic solutions of a generalized

In this paper, the existence of positive periodic solutions of aclass of periodic $n$-species Gilpin-Ayala impulsive competitionsystems is studied. By using the continuation theorem ofcoincidence degree theory, a set of easily verifiable sufficientconditions is obtained. Our results are general enou...

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Main Authors: Meili Li, Maoan Han, Chunhai Kou
Format: Article
Language:English
Published: AIMS Press 2008-09-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.803
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author Meili Li
Maoan Han
Chunhai Kou
author_facet Meili Li
Maoan Han
Chunhai Kou
author_sort Meili Li
collection DOAJ
description In this paper, the existence of positive periodic solutions of aclass of periodic $n$-species Gilpin-Ayala impulsive competitionsystems is studied. By using the continuation theorem ofcoincidence degree theory, a set of easily verifiable sufficientconditions is obtained. Our results are general enough to includesome known results in this area.
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institution Kabale University
issn 1551-0018
language English
publishDate 2008-09-01
publisher AIMS Press
record_format Article
series Mathematical Biosciences and Engineering
spelling doaj-art-e1f8518337614d6ca98349ee5c3887792025-01-24T01:58:42ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-09-015480381210.3934/mbe.2008.5.803The existence of positive periodic solutions of a generalizedMeili Li0Maoan Han1Chunhai Kou2Department of Applied Mathematics, Donghua University, Shanghai 201620Department of Applied Mathematics, Donghua University, Shanghai 201620Department of Applied Mathematics, Donghua University, Shanghai 201620In this paper, the existence of positive periodic solutions of aclass of periodic $n$-species Gilpin-Ayala impulsive competitionsystems is studied. By using the continuation theorem ofcoincidence degree theory, a set of easily verifiable sufficientconditions is obtained. Our results are general enough to includesome known results in this area.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.803positiveperiodic solutiongeneralized gilpin-ayala competition systemimpulsecoincidence degree
spellingShingle Meili Li
Maoan Han
Chunhai Kou
The existence of positive periodic solutions of a generalized
Mathematical Biosciences and Engineering
positiveperiodic solution
generalized gilpin-ayala competition system
impulse
coincidence degree
title The existence of positive periodic solutions of a generalized
title_full The existence of positive periodic solutions of a generalized
title_fullStr The existence of positive periodic solutions of a generalized
title_full_unstemmed The existence of positive periodic solutions of a generalized
title_short The existence of positive periodic solutions of a generalized
title_sort existence of positive periodic solutions of a generalized
topic positiveperiodic solution
generalized gilpin-ayala competition system
impulse
coincidence degree
url https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.803
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