| 一类食饵以广义Logistic生长为基础的食饵——捕食者系统的定性分析 |
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| 引用本文： | 黄建民.一类食饵以广义Logistic生长为基础的食饵——捕食者系统的定性分析[J].华南师范大学学报(自然科学版),1996(1):138-143. |
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| 作者姓名： | 黄建民 |
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| 作者单位： | 华南师范大学数学系 |
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| 摘 要： | 本文讨论了一类食饵为广义Ｌｏｇｉｓｔｉｃ生长，捕食者为具有Ｈｏｌｌｉｎｇ（Ｉ）型功能反应的数学模型：其中ｖ＞－１，而ｒ１，ｒ２，Ｔ，ｃ，ｋ，ｘ均为正常数．文中利用微分方程定性分析方法，给出了这类模型的正平衡点存在，和各种平衡点的稳定性条件和稳定区域．
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| 关 键 词： | 广义 Logistic生长 食饵－捕食系统 定性分析 |
QUALITATIVE ANALYSIS OF ONE CLASS OF PREY-PREDATOR SYSTEM OF PREDATOR GENERALIZED LOGISTIC GROWTH |
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| Huang Jianmin.QUALITATIVE ANALYSIS OF ONE CLASS OF PREY-PREDATOR SYSTEM OF PREDATOR GENERALIZED LOGISTIC GROWTH[J].Journal of South China Normal University(Natural Science Edition),1996(1):138-143. |
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| Authors: | Huang Jianmin |
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| Abstract: | This paper deals with a prey-predator model where predator is a generalized logistic growth,prey is Holling (I) type functional curve: are positive constants. This paper offers a qualitative analysis method of differential equations. It gives the condition for the existence of positive balance point, the stability condition and field of each balance point of the model. |
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| Keywords: | generalized logistic growth junction curve prey-predator system stability of balance point |
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