作 者: ;
机构地区: 华南师范大学南海校区学院数学系
出 处: 《华南师范大学学报(自然科学版)》 1996年第4期90-95,共6页
摘 要: 本文讨论了一类食饵按广义Logistic生长,且捕食者具有Holling(Ⅱ)型功能反应的食饵─—捕食者模型:其中v>-1,而r1、r2、α、β、c、e、k均为正常数.本文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条件和各种平衡点的稳定条件及稳定区域,并给出了相应的生态意义解释. This paper deals with a prey-predator model where predator is a generalized Logistic growth; prey is Holling type functional curve.where v>-1, r1, r2, α, β, c, e, k are positive constants.This paper takes advantage of a quantitative analysis method of differential equations. It gives conditions for the existence of positive balance points, the stability conditions and field of each balance point in the model. Also given is an explanation in terms of ecology.