Extinction in Nonautonomous Discrete Lotka-Volterra Competitive System with Pure Delays and Feedback Controls
The paper discusses a nonautonomous discrete time Lotka-Volterra competitive system with pure delays and feedback controls. New sufficient conditions for which a part of the n-species is driven to extinction are established by using the method of multiple discrete Lyapunov functionals.
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/656549 |
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| _version_ | 1832556301911064576 |
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| author | Ling Zhang Zhidong Teng Tailei Zhang Shujing Gao |
| author_facet | Ling Zhang Zhidong Teng Tailei Zhang Shujing Gao |
| author_sort | Ling Zhang |
| collection | DOAJ |
| description | The paper discusses a nonautonomous discrete time Lotka-Volterra competitive system with pure delays and feedback controls. New sufficient conditions for which a part of the n-species is driven to extinction are established by using the method of multiple discrete Lyapunov functionals. |
| format | Article |
| id | doaj-art-dacd91fa7b3640e7bc815bee8b0a2c88 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-dacd91fa7b3640e7bc815bee8b0a2c882025-02-03T05:45:55ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/656549656549Extinction in Nonautonomous Discrete Lotka-Volterra Competitive System with Pure Delays and Feedback ControlsLing Zhang0Zhidong Teng1Tailei Zhang2Shujing Gao3College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, ChinaThe paper discusses a nonautonomous discrete time Lotka-Volterra competitive system with pure delays and feedback controls. New sufficient conditions for which a part of the n-species is driven to extinction are established by using the method of multiple discrete Lyapunov functionals.http://dx.doi.org/10.1155/2009/656549 |
| spellingShingle | Ling Zhang Zhidong Teng Tailei Zhang Shujing Gao Extinction in Nonautonomous Discrete Lotka-Volterra Competitive System with Pure Delays and Feedback Controls Discrete Dynamics in Nature and Society |
| title | Extinction in Nonautonomous Discrete Lotka-Volterra Competitive System with Pure Delays and Feedback Controls |
| title_full | Extinction in Nonautonomous Discrete Lotka-Volterra Competitive System with Pure Delays and Feedback Controls |
| title_fullStr | Extinction in Nonautonomous Discrete Lotka-Volterra Competitive System with Pure Delays and Feedback Controls |
| title_full_unstemmed | Extinction in Nonautonomous Discrete Lotka-Volterra Competitive System with Pure Delays and Feedback Controls |
| title_short | Extinction in Nonautonomous Discrete Lotka-Volterra Competitive System with Pure Delays and Feedback Controls |
| title_sort | extinction in nonautonomous discrete lotka volterra competitive system with pure delays and feedback controls |
| url | http://dx.doi.org/10.1155/2009/656549 |
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