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．
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.
出处
《华南师范大学学报（自然科学版）》
CAS
1996年第1期138-143,共6页
Journal of South China Normal University(Natural Science Edition)
关键词
广义
Logistic生长
食饵-捕食系统
定性分析
generalized logistic growth
junction curve
prey-predator system
stability of balance point
