| 捕食与被捕食种群的循环Hassall数学模型定性分析 |
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| 引用本文： | 丁文国. 捕食与被捕食种群的循环Hassall数学模型定性分析[J]. 黄山学院学报, 2005, 7(6): 10-11,20 |
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| 作者姓名： | 丁文国 |
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| 作者单位： | 黄山学院,数学系,安徽,黄山,245041 |
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| 摘 要： | 现实生活中，捕食与被捕食种群之间除捕食之外，还存在另一种情况，即捕食种群又为被捕食种群提供少量食料。本文探讨了的这类循环生态数学模型的图象变化及其性质、正平衡点及其渐进稳定性问题。从而在Lotka-Volterra模型的基础上提出一点较新的思路，因此具有更高的实用价值。
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| 关 键 词： | 循环 平衡点 单调性 渐进稳定 |
| 文章编号： | 1672-447X（2005）06-0010-03 |
| 收稿时间： | 2005-09-28 |
| 修稿时间： | 2005-09-28 |
Qualitative Analysis of Circulation Mathematical Model of Predator-prey |
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| Ding Wenguo. Qualitative Analysis of Circulation Mathematical Model of Predator-prey[J]. Journal of Huangshan University, 2005, 7(6): 10-11,20 |
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| Authors: | Ding Wenguo |
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| Affiliation: | Ding Wenguo |
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| Abstract: | One acknowledged phenomenon in nature is that the predator preys on the weaker,meanwhile, provides feed for them. This article discusses 2 parts of this ecological circulation model, namely, the changes and properties of the curve and the positive equilibrium and its asymptotically stable. Therefore, some novel train of thoughts is presented on the basis of thoughts Lotka-Volterra model, to make it be of great practical value. |
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| Keywords: | Circulate Equilibrium Monotonicity Asymptotically stable |
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