| 大小结构种群模型的平衡解的稳定性 |
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| 引用本文： | 刘克英,刘伟安.大小结构种群模型的平衡解的稳定性[J].数学物理学报(A辑),2010,30(2):417-424. |
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| 作者姓名： | 刘克英 刘伟安 |
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| 作者单位： | 刘克英,Liu Keying(华北水利水电学院数学与信息科学学院,郑州,450011);刘伟安,Liu Weian(武汉大学数学与统计学院,武汉,430072) |
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| 基金项目： | 国家自然科学基金，华北水利水电学院高层次人才科研启动项目 |
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| 摘 要： | 考虑了一个大小结构的非线性种群模型,其各变化率不但依赖于个体的大小,而且依赖于总群口.利用扰动方法,得到了特征方程并分析了平衡解的稳定性,对于特殊的变化率,给出了平衡解稳定的充分条件.
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| 关 键 词： | 稳定性 平衡解 大小结构的种群模型 |
| 收稿时间： | 2007-12-19 |
| 修稿时间： | 2009-01-19 |
Stability of Equilibrium Solutions to Size-structured Population Models |
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| LIU Ke-Ying,LIU Wei-An.Stability of Equilibrium Solutions to Size-structured Population Models[J].Acta Mathematica Scientia,2010,30(2):417-424. |
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| Authors: | LIU Ke-Ying LIU Wei-An |
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| Institution: | 1.Department of Mathematics and Information Sciences, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou 450011;
2.School of Mathematics and Statistics, Wuhan University, Wuhan 430072 |
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| Abstract: | In this paper,the authors are concerned with a nonlinear size-structured population model with the vital rates depending both on the individuals' size and on the total population. They arrive at a characteristic equation by the perturbation method and analyze the stability of equilibrium solutions.For some special cases,sufficient conditions for the stability of equilibrium solutions are obtained. |
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| Keywords: | Stability Equilibrium solution Size-structured population model |
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