| The Analysis of Model on Population Growth with Stage-structure in the Polluted Environment |
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| 引用本文： | Yong-guang Yu Suo-chun Zhang Da-li Yang. The Analysis of Model on Population Growth with Stage-structure in the Polluted Environment[J]. 应用数学学报(英文版), 2006, 22(2): 265-272. DOI: 10.1007/s10255-006-0302-y |
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| 作者姓名： | Yong-guang Yu Suo-chun Zhang Da-li Yang |
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| 作者单位： | [1]Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China [2]Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China [3]Department of Computer Science and Technology, Beijing Information Technology Institute, Beijing 100085, China |
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| 基金项目： | Supported by the National Science Foundation of China （No.10461002）, and Beijing Jiaotong University Science Foundation of China （No.2005sm063）. |
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| 摘 要： | In this paper,the authors considered a single-species model with stage-structure in a pollutedecological environment.Subject to the outside toxin input quantity being stable,the authors established thesufficient conditions under which the species will be permanent using Lyapunov method.At the same timebiological implications briefly of these results are discussed.
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| 关 键 词： | 群生长 耐久性 消失 单种模型 |
| 收稿时间： | 2003-09-23 |
| 修稿时间： | 2003-09-23 |
The Analysis of Model on Population Growth with Stage-structure in the Polluted Environment |
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| Yong-guang Yu,Suo-chun Zhang,Da-li Yang. The Analysis of Model on Population Growth with Stage-structure in the Polluted Environment[J]. Acta Mathematicae Applicatae Sinica, 2006, 22(2): 265-272. DOI: 10.1007/s10255-006-0302-y |
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| Authors: | Yong-guang Yu Suo-chun Zhang Da-li Yang |
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| Affiliation: | (1) Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China;(2) Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China;(3) Department of Computer Science and Technology, Beijing Information Technology Institute, Beijing 100085, China |
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| Abstract: | In this paper, the authors considered a single-species model with stage-structure in a polluted ecological environment. Subject to the outside toxin input quantity being stable, the authors established the sufficient conditions under which the species will be permanent using Lyapunov method. At the same time biological implications briefly of these results are discussed. |
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| Keywords: | Stage-structure pollution extinction permanence |
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