Permanence for two-species Lotka-Volterra cooperative systems with delays
In this paper, a two-species Lotka-Volterra cooperative delay sys-tem is considered, and the relationships between the delays and the permanence are obtained. Some sufficient conditions for the permanence under theassumption of smallness of the delays are obtained. Two examples are givento illustrat...
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| Format: | Article |
| Language: | English |
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AIMS Press
2008-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.477 |
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| author | Guichen Lu Zhengyi Lu |
| author_facet | Guichen Lu Zhengyi Lu |
| author_sort | Guichen Lu |
| collection | DOAJ |
| description | In this paper, a two-species Lotka-Volterra cooperative delay sys-tem is considered, and the relationships between the delays and the permanence are obtained. Some sufficient conditions for the permanence under theassumption of smallness of the delays are obtained. Two examples are givento illustrate the theorems. |
| format | Article |
| id | doaj-art-9211166501e64abc9715196054223f56 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2008-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-9211166501e64abc9715196054223f562025-01-24T01:58:23ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-05-015347748410.3934/mbe.2008.5.477Permanence for two-species Lotka-Volterra cooperative systems with delaysGuichen Lu0Zhengyi Lu1Department of Mathematics, Wenzhou University, Wenzhou, 325035Department of Mathematics, Wenzhou University, Wenzhou, 325035In this paper, a two-species Lotka-Volterra cooperative delay sys-tem is considered, and the relationships between the delays and the permanence are obtained. Some sufficient conditions for the permanence under theassumption of smallness of the delays are obtained. Two examples are givento illustrate the theorems.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.477permanencecooperativediscretedelaylotka-volterra system |
| spellingShingle | Guichen Lu Zhengyi Lu Permanence for two-species Lotka-Volterra cooperative systems with delays Mathematical Biosciences and Engineering permanence cooperative discretedelay lotka-volterra system |
| title | Permanence for two-species Lotka-Volterra cooperative systems with delays |
| title_full | Permanence for two-species Lotka-Volterra cooperative systems with delays |
| title_fullStr | Permanence for two-species Lotka-Volterra cooperative systems with delays |
| title_full_unstemmed | Permanence for two-species Lotka-Volterra cooperative systems with delays |
| title_short | Permanence for two-species Lotka-Volterra cooperative systems with delays |
| title_sort | permanence for two species lotka volterra cooperative systems with delays |
| topic | permanence cooperative discretedelay lotka-volterra system |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.477 |
| work_keys_str_mv | AT guichenlu permanencefortwospecieslotkavolterracooperativesystemswithdelays AT zhengyilu permanencefortwospecieslotkavolterracooperativesystemswithdelays |