Global Attractivity of a Periodic Delayed N-Species Model of Facultative Mutualism
Two classes of periodic N-species Lotka-Volterra facultative mutualism systems with distributed delays are discussed. Based on the continuation theorem of the coincidence degree theory developed by Gaines and Mawhin and the Lyapunov function method, some new sufficient conditions on the existence an...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/580185 |
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| _version_ | 1832559059138510848 |
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| author | Ahmadjan Muhammadhaji Zhidong Teng |
| author_facet | Ahmadjan Muhammadhaji Zhidong Teng |
| author_sort | Ahmadjan Muhammadhaji |
| collection | DOAJ |
| description | Two classes of periodic N-species Lotka-Volterra facultative mutualism systems with distributed delays are discussed. Based on the continuation theorem of the coincidence degree theory developed by Gaines and Mawhin and the Lyapunov function method, some new sufficient conditions on the existence and global attractivity of positive periodic solutions are established. |
| format | Article |
| id | doaj-art-202d9ba3d1ac449fab487ce5a021e97f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-202d9ba3d1ac449fab487ce5a021e97f2025-02-03T01:30:54ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/580185580185Global Attractivity of a Periodic Delayed N-Species Model of Facultative MutualismAhmadjan Muhammadhaji0Zhidong Teng1College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaTwo classes of periodic N-species Lotka-Volterra facultative mutualism systems with distributed delays are discussed. Based on the continuation theorem of the coincidence degree theory developed by Gaines and Mawhin and the Lyapunov function method, some new sufficient conditions on the existence and global attractivity of positive periodic solutions are established.http://dx.doi.org/10.1155/2013/580185 |
| spellingShingle | Ahmadjan Muhammadhaji Zhidong Teng Global Attractivity of a Periodic Delayed N-Species Model of Facultative Mutualism Discrete Dynamics in Nature and Society |
| title | Global Attractivity of a Periodic Delayed N-Species Model of Facultative Mutualism |
| title_full | Global Attractivity of a Periodic Delayed N-Species Model of Facultative Mutualism |
| title_fullStr | Global Attractivity of a Periodic Delayed N-Species Model of Facultative Mutualism |
| title_full_unstemmed | Global Attractivity of a Periodic Delayed N-Species Model of Facultative Mutualism |
| title_short | Global Attractivity of a Periodic Delayed N-Species Model of Facultative Mutualism |
| title_sort | global attractivity of a periodic delayed n species model of facultative mutualism |
| url | http://dx.doi.org/10.1155/2013/580185 |
| work_keys_str_mv | AT ahmadjanmuhammadhaji globalattractivityofaperiodicdelayednspeciesmodeloffacultativemutualism AT zhidongteng globalattractivityofaperiodicdelayednspeciesmodeloffacultativemutualism |