Partial Extinction, Permanence, and Global Attractivity in Nonautonomous n-Species Gilpin-Ayala Competitive Systems with Impulses
The qualitative properties of general nonautonomous n-species Gilpin-Ayala competitive systems with impulsive effects are studied. Some new criteria on the permanence, extinction, and global attractivity of partial species are established by using the methods of inequalities estimate and Liapunov fu...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/150841 |
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| _version_ | 1849304991306612736 |
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| author | Juan Hou Hanhui Liu |
| author_facet | Juan Hou Hanhui Liu |
| author_sort | Juan Hou |
| collection | DOAJ |
| description | The qualitative properties of general nonautonomous n-species Gilpin-Ayala competitive systems with impulsive effects are studied. Some new criteria on the permanence, extinction, and global attractivity of partial species are established by using the methods of inequalities estimate and Liapunov functions. |
| format | Article |
| id | doaj-art-3d4a0e7f39a3442ba13979f2af37ca75 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3d4a0e7f39a3442ba13979f2af37ca752025-08-20T03:55:33ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/150841150841Partial Extinction, Permanence, and Global Attractivity in Nonautonomous n-Species Gilpin-Ayala Competitive Systems with ImpulsesJuan Hou0Hanhui Liu1College of Applied Mathematics, Xinjiang University of Finance and Economics, Urumqi 830012, ChinaCollege of Applied Mathematics, Xinjiang University of Finance and Economics, Urumqi 830012, ChinaThe qualitative properties of general nonautonomous n-species Gilpin-Ayala competitive systems with impulsive effects are studied. Some new criteria on the permanence, extinction, and global attractivity of partial species are established by using the methods of inequalities estimate and Liapunov functions.http://dx.doi.org/10.1155/2012/150841 |
| spellingShingle | Juan Hou Hanhui Liu Partial Extinction, Permanence, and Global Attractivity in Nonautonomous n-Species Gilpin-Ayala Competitive Systems with Impulses Discrete Dynamics in Nature and Society |
| title | Partial Extinction, Permanence, and Global Attractivity in Nonautonomous n-Species Gilpin-Ayala Competitive Systems with Impulses |
| title_full | Partial Extinction, Permanence, and Global Attractivity in Nonautonomous n-Species Gilpin-Ayala Competitive Systems with Impulses |
| title_fullStr | Partial Extinction, Permanence, and Global Attractivity in Nonautonomous n-Species Gilpin-Ayala Competitive Systems with Impulses |
| title_full_unstemmed | Partial Extinction, Permanence, and Global Attractivity in Nonautonomous n-Species Gilpin-Ayala Competitive Systems with Impulses |
| title_short | Partial Extinction, Permanence, and Global Attractivity in Nonautonomous n-Species Gilpin-Ayala Competitive Systems with Impulses |
| title_sort | partial extinction permanence and global attractivity in nonautonomous n species gilpin ayala competitive systems with impulses |
| url | http://dx.doi.org/10.1155/2012/150841 |
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