| 一类平面和空间非线性自治系统的定性分析 |
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| 引用本文： | 朱庆国.一类平面和空间非线性自治系统的定性分析[J].应用基础与工程科学学报,2004,12(1):1-12. |
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| 作者姓名： | 朱庆国 |
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| 作者单位： | 盐城工学院基础部,江苏 盐城 224003 |
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| 摘 要： | 讨论一类平面和空间非线性自治系统的定性性质。首先证明关于两种群的Holling-Tanner模型如设其正平衡点为B,则当div(P,Q)|_B≤0时,相应的系统不存在闭轨;当div(P,Q)|_B>0,相应的系统在其平衡点B外围存在唯一稳定极限环。其次,我们较详细地讨论了一类空间非线性自治系统周期解的问题。
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| 关 键 词： | 平面 非线性自治系统 定性分析 Holling-Tanner模型 空间周期解 极限环 生态数学 |
| 文章编号： | 1005-0930(2004)-01-0001-12 |
The Qualitaliva Analyze of a Sort of Plane and Space Nonlinearity of Autonomous System |
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| ZHU Qingguo.The Qualitaliva Analyze of a Sort of Plane and Space Nonlinearity of Autonomous System[J].Journal of Basic Science and Engineering,2004,12(1):1-12. |
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| Authors: | ZHU Qingguo |
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| Abstract: | We in the article, discuss the qualitativa analyst of a sont of plane and space and space nonlinearty of autonomous system. First we prove about two kinds of Holling-Tanner model
Assume it's positive equilibrium point being B, then when div(P,Q)\ B^0, system does not exist closed loop, then when div(P,Q)\ /,>0, the system exists the unique stable limit cycle in about Secondly, we detailed discuss the question about the periodic (al) solution of a sont of space nonlinearity autonomous system. |
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| Keywords: | H-T model limit cycle space periodic (al) solution |
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