具有常数收获率和第二类功能性反应的捕-食系统可以至少存在两个极限环  

THE PREDATOR──PREY SYSTEMS WITH CONSTANT-RATE HARVESTING AND TYPE Ⅱ FUNCTIONAL RESPONSE HAVE AT LEAST TWO LIMIT CYCLES

作　　者：刘宣亮 

机构地区：[1]广东省茂名市教育学院,广东茂名市525000

出　　处：《生物数学学报》1994年第S1期192-199,共8页Journal of Biomathematics

摘　　要：本文主要通过对细焦点的研究，得到了具常数收获率和Holling第二类功能性反应的捕食者──食饵系统可以至少存在两个极限环的条件，并对捕食者具常数收获率的情形，给出了闭轨线和奇异闭轨线不存在的条件．In this paper,the author consider the predator-prey systems: v＝0 or u＝0,U＞0. By studying the weak focus of system(E)principally,the author obtain the coditions of system(E) has at least two limit cycles and the conditions of constant—rate predator harvesting system(E) u＝0,v＞0 hasn＇t closed orbit and singular closed orbit.

关 键 词：细焦点 捕食系统 极限环 

分 类 号：Q148[生物学—生态学]