| 一类大熊猫—竹子三种群系统的Hopf分支 |
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| 引用本文： | 吴云华.一类大熊猫—竹子三种群系统的Hopf分支[J].四川师范大学学报(自然科学版),1997,20(5):27-34. |
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| 作者姓名： | 吴云华 |
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| 作者单位： | 四川成都石室中学 |
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| 摘 要： | 本文考虑由种群生态学引起的一类大熊猫和两种竹子三种群生态数学模型，利用中心流形定理及Ｈｏｐｆ分支理论讨论并证明了该系统的分支现象，给出了中心流形的表达式及小振幅空间周期解的稳定性。
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| 关 键 词： | Hopf分支 大熊猫 竹子 种群系统 种群生态学 |
HOPF BIFURCATION OF THE ECOLOGICAL SYSTEM FOR THE THREE POPULATIONS OF THE GIANT PANDA AND BAMBOO |
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| Wu,Yunhua.HOPF BIFURCATION OF THE ECOLOGICAL SYSTEM FOR THE THREE POPULATIONS OF THE GIANT PANDA AND BAMBOO[J].Journal of Sichuan Normal University(Natural Science),1997,20(5):27-34. |
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| Authors: | Wu Yunhua |
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| Abstract: | The paper mainly establishes ecological model of the population ecology on the three populations of the giant panda and two kinds of bamboo. The bifurcation phenomena are discussed by using center manifold and Hopf bifurcation theorems. The formulas for the center manifold and the stable for periodic solution with small amplitude have been given. |
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| Keywords: | Center manifold Hopf bifurcation Periodic solution |
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