| 周期二维Lotka—Volterra系统的一些新结果 |
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| 引用本文： | 滕志东. 周期二维Lotka—Volterra系统的一些新结果[J]. 数学物理学报(A辑), 1998, 18(2): 169-175 |
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| 作者姓名： | 滕志东 |
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| 作者单位： | 新疆大学数学系!乌鲁木齐，830046 |
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| 摘 要： | 该文研究周期二维Lotka－Volterra捕食食饵系统解的有界性，持续生存性以及正周期解的存在性和全局稳定性．并将结果推广到食饵有补充的周期二维Lotka－Volterra竞争系统上去，得到了一系列新的结果，改进和推广了文[1—3]的主要结论．
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| 关 键 词： | 周期环境 Lotka－Volterra系统 有界性 持续生存性 正周期解 全局稳定性 |
Some new Results of two Dimensional Periodic Lotka-Volterra Systems |
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| Teng Zhidong. Some new Results of two Dimensional Periodic Lotka-Volterra Systems[J]. Acta Mathematica Scientia, 1998, 18(2): 169-175 |
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| Authors: | Teng Zhidong |
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| Abstract: | In this paper, we study the boundedness and persistence of solutions and the existence and global stability of positive periodic solution for two dimensional periodic LotkaVolterra predator-prey systems. Afterwards, we extend the obtained results to two dimensional periodic Lotka-Volterra predator-prey systems with prey supplement and two dimensional periodic Lotka-Volterra competition systems. A series of new cirteria are obtained. The main results in [1-3]are improved and extended. |
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| Keywords: | Periodic environment Lotka-Volterra system Borndedness Persistence Positive periodic solution Global statility |
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