摘要
对以生化反应为机理为背景的一类平面系统x=x(1+y)(c-b-yn),y=(1十y)(b+yn)-ay,这里a>0,b≥0,c>0,n为正整数,x≥0和y≥0进行了定性分析,研究了极限环的不存在性、存在性以及极限环唯一性和同宿轨道的存在性;改进和推广了文献[3]中的结果.
In this paper, we study a plannar system with biochemistry reaction functional background: x=x(1+Y)(c-b-yn),y=x(1+y) (b+yn) - ay, Where a >0,b≥0, c >0, n is integer(n >0 ), x >0 and y > 0, obtain the conditions of the nonexistence, existence and uniqueness for limit cycle and the uniqueness for limit cycle of the upper system is completely solved and the results in [3] are generalized and improved.
出处
《华中师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2000年第1期19-23,共5页
Journal of Central China Normal University:Natural Sciences