Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2002-09-30

Journal: 生物数学学报

Included Journals: CSCD、ISTIC、CSCD、ISTIC

Volume: 17

Issue: 3

Page Number: 311-316

ISSN: 1001-9626

Key Words: 极限环;存在性;唯一性

Abstract: 研究一类三次Kolmogorov系统:x=x(Ao+A1x-A3x2+A2y+A4xy),y=y(-1+x2-y)(*).当A1＞0,A2＜0,A4＜0时得到:当A0-A2＞A02,x*＞x*时,系统(*)在第一象限内存在极限环;当A0＞(A1A2)/A4,A3＞A3时,系统(*)在第一象限内存在唯一的极限环.