| Lotka-Volterra自治竞争系统的共存与绝灭 |
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| 引用本文： | 李必文,谭德君.Lotka-Volterra自治竞争系统的共存与绝灭[J].生物数学学报,2004,19(3):257-263. |
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| 作者姓名： | 李必文 谭德君 |
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| 作者单位： | 1. 湖北师范学院,数学系,湖北,黄石,435002
2. 鞍山师范学院,学报编辑部,辽宁,鞍山,114005 |
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| 基金项目： | Research is Supported by the Major Project Foundation of Hubei Province Education Department(20042001) |
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| 摘 要： | 研究了一类自治n种群Lotka-Volterra竞争系统．建立了一部分种群绝灭，另一部分种群持续生存新的判别准则，推广了已知相关结果．
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| 关 键 词： | 共存 绝灭 Lotka-Volterra系统 渐近性态 |
Coexistence and Extinction in Autonomous Competitive Lotka-Volterra Systems |
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| Abstract.Coexistence and Extinction in Autonomous Competitive Lotka-Volterra Systems[J].Journal of Biomathematics,2004,19(3):257-263. |
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| Authors: | Abstract |
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| Abstract: | In this paper, an automous n-species competitive Lotka-Volterra systems are studied. For each r ≤ n , we show that if the coefficients satisfy certain inequalities, then any solution with strictly positive initial values has the property that n - r of its components vanish, whilst the remaining r components asymptotically approach a canonical solution of an r-dimensional restricted system. In other words, r of the species being modeled survive whilst the remaining n - r are driven to extinction. Our results bridge the gap among all known relational results. |
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| Keywords: | Coexistence Extinction Lotka-Volterra system Asymptoticbehavior |
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