| 一类生态系统的定性分析 |
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| 引用本文： | 王成文.一类生态系统的定性分析[J].山东科技大学学报(自然科学版),1992(1). |
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| 作者姓名： | 王成文 |
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| 作者单位： | 山东矿业学院应用数学与软件工程系 |
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| 基金项目： | 国家青年自然科学基金，山东矿业学院基金 |
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| 摘 要： | 本文利用定性分析的方法,讨论了一类食饵具有常数存放率的食饵与捕食者两种群的生态系统。通过分析系统的水平和垂直等倾线的性态,确定了系统可行平衡点的个数、相对位置和正平衡点的存在性;进而得到了平衡点的拓扑结构,可行平衡点的全局稳定性以及当系统存在唯一平衡点时在其外围存在极限环的条件。
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| 关 键 词： | 生态系统 定性分析 平衡点 极限环 全局结构 |
QUALITATIVE ANALYSIS FOR A CLASS OF ECOLGICAL SYSTEM |
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| Wang Chengwen.QUALITATIVE ANALYSIS FOR A CLASS OF ECOLGICAL SYSTEM[J].Journal of Shandong Univ of Sci and Technol: Nat Sci,1992(1). |
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| Authors: | Wang Chengwen |
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| Abstract: | Inthis paper, we discuss a class of prey-predator ecological system with prey having constant adding rate by using the qualitative analysis me thod. First, we determine the number of the practical equilibium, their relative positions, and the existence of the positive equilibrium of the system by analyzing the horizontal and the vertical isoclines. Then, we obtain the conditions for the topological structure of the equilibrium, the global stability of the practical equilibrium and the existence of the limit cycles around the positive equilibrium when the system only has a unique positive equilium. |
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| Keywords: | ecological system qualitative analysis equilibrium point limit cyele global structure |
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