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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AIMS Press
2008-09-01
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Series: | Mathematical Biosciences and Engineering |
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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. |
format | Article |
id | doaj-art-e1f8518337614d6ca98349ee5c388779 |
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 |
work_keys_str_mv | AT meilili theexistenceofpositiveperiodicsolutionsofageneralized AT maoanhan theexistenceofpositiveperiodicsolutionsofageneralized AT chunhaikou theexistenceofpositiveperiodicsolutionsofageneralized AT meilili existenceofpositiveperiodicsolutionsofageneralized AT maoanhan existenceofpositiveperiodicsolutionsofageneralized AT chunhaikou existenceofpositiveperiodicsolutionsofageneralized |