| PERMANENCE AND PERSISTENCE OF TIME VARYING LOTKA-VOLTERRA SYSTEMS |
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| 引用本文： | 刘少平 廖晓昕. PERMANENCE AND PERSISTENCE OF TIME VARYING LOTKA-VOLTERRA SYSTEMS[J]. 数学物理学报(B辑英文版), 2006, 26(1): 49-58 |
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| 作者姓名： | 刘少平 廖晓昕 |
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| 作者单位： | Department of Mathematics Huazhong University of Science and Technology，Department Control Science and Engineering Huazhong University of Science and Technology Wuhan 430074，China，Wuhan 430074，China |
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| 摘 要： | In this article, the permanence and persistence for three classes time varying Lotka-Volterra ecological system are investigated by using Lyapunov stability analysis and constructing the compact set of attraction. Some examples are given to illustrate the theorems.
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| 关 键 词： | Lotka-Volterra生态系统 Lyapunov稳定性 持久性 紧密性 |
| 收稿时间： | 2003-05-09 |
| 修稿时间： | 2004-06-19 |
PERMANENCE AND PERSISTENCE OF TIME VARYING LOTKA-VOLTERRA SYSTEMS |
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| Liu Shaoping,Liao Xiaoxin. PERMANENCE AND PERSISTENCE OF TIME VARYING LOTKA-VOLTERRA SYSTEMS[J]. Acta Mathematica Scientia, 2006, 26(1): 49-58 |
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| Authors: | Liu Shaoping Liao Xiaoxin |
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| Abstract: | In this article, the permanence and persistence for three classes time varying Lotka-Volterra ecological system are investigated by using Lyapunov stability analysis and constructing the compact set of attraction. Some examples are given to illustrate the theorems. |
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| Keywords: | Permanence persistence Lyapunov stability |
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