| 三维Lotka-Volterra竞争系统的全局稳定性 |
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| 引用本文： | 周兰,杜西英. 三维Lotka-Volterra竞争系统的全局稳定性[J]. 湖南人文科技学院学报, 2006, 0(6): 16-18 |
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| 作者姓名： | 周兰 杜西英 |
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| 作者单位： | 1. 湖南人文科技学院数学系,湖南,娄底,417000
2. 中南大学,数学与计算机科学学院,湖南,长沙,410075 |
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| 摘 要： | 本文讨论了三维Lotka-Volterra竞争系统在一定条件下不存在周期解,同时给出了该系统全局渐近稳定的一些充分条件.所得结果改进了已有文献的相关研究结果.
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| 关 键 词： | 竞争系统 周期解 平衡点 全局渐近稳定 |
| 文章编号： | 1673-0712(2006)06-0016-03 |
| 修稿时间： | 2006-09-15 |
The Global Stability of Three-dimensional Competitive Lotka-Volterra System |
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| ZHOU Lan,DU Xi-ying. The Global Stability of Three-dimensional Competitive Lotka-Volterra System[J]. Journal of Hunan Institute of Humanities,Science and Technology, 2006, 0(6): 16-18 |
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| Authors: | ZHOU Lan DU Xi-ying |
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| Affiliation: | ZHOU Lan1,DU Xi-ying2 |
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| Abstract: | That three-dimensional Lotka-Volterra competitive system hasn't a period solution under certain condition is discussed.The non-existence of periodic solution and the sufficient conditions of the global asymptotical stability are studied.The conclusions gained develop some correspond-ing ones already known. |
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| Keywords: | competitive system period solution equilibrium global asymptotical stability |
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