| 非线性红松林生态系统的定性与分支研究(英文) |
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| 引用本文： | 王晓静,宋国华.非线性红松林生态系统的定性与分支研究(英文)[J].生物数学学报,2010(4):598-608. |
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| 作者姓名： | 王晓静 宋国华 |
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| 作者单位： | [1]北京建筑工程学院理学院,北京100044 [2]北京林业大学林学院,北京100083 |
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| 基金项目： | Supported by the National Natural Science Foundation of China（11071011）; the National Water Pollution Control and Management Technology Major Projects（2008ZX07314-006 and 2009ZX07424-006）; from the Ministry of Science and Technology of China and the Natural Science Foundation of Beijing University of Civil Engineering and Architecture（101003707） |
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| 摘 要： | 利用系统分析的方法研究了一类非线性红松林生态系统的稳定性,讨论了其鞍结分支和Hopf分支,且对Hopf分支周期解进行了详细的分析和计算,指出了红松林生态系统中松籽、鼠类和幼苗三种群数量具有周期波动的特征.
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| 关 键 词： | 红松林 稳定性 鞍结分支 Hopf分支 周期解 |
Qualitative and Bifurcation Analysis on a Kind of Nonlinear Pinus Koraiensis Forest Ecological System |
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| WANG Xiao-Jing,SONG Guo-hua.Qualitative and Bifurcation Analysis on a Kind of Nonlinear Pinus Koraiensis Forest Ecological System[J].Journal of Biomathematics,2010(4):598-608. |
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| Authors: | WANG Xiao-Jing SONG Guo-hua |
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| Institution: | 1 (1 School of Science,Beijing University of Civil Engineering and Architecture,Beijing 100044 China) (2 School of Forestry,Beijing Forestry University,Beijing 100083 China) |
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| Abstract: | In this paper,a kind of nonlinear three-dimensional model of Pinus koraiensis forest ecological system including pine seeds,squirrels and seedlings is considered. Systematic analysis method is used to discuss the stability of the model.The saddle-node bifurcation and Hopf bifurcation are also discussed.Furthermore,computation formula and analysis for the periodic solution of the Hopf bifurcation is given in detail.The results show that the numbers of pine seeds,squirrels and seedlings in the pinus koraiensis forest ecological system will have a law fluctuation with time. |
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| Keywords: | Pinus koraiensis forest Stability Saddle-node bifurcation Hopf bifurcation Periodic solution |
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