生化反应中微分方程模型=A-Bx+x^my-kx^n,=Bx-x^my的定性分析  

Qualitative anylysis for differential equation model =A-Bx+x^my-kx^n,=Bx-x^my in biochemistry reaction

作　　者：王学斌[1] 

机构地区：[1]株洲职业技术学院基础部,湖南株洲412000

出　　处：《湘潭师范学院学报（自然科学版）》2001年第4期5-9,共5页Journal of Xiangtan Normal University (Natural Science Edition)

摘　　要：讨论了生化反应中微分方程模型 x =A -Bx +xmy -kxn, y =Bx -xmy ,解决了极限环存在性和唯一性问题 ,并讨论了极限环随参数变化的情况 。Qualitative analysis for differential equation model =A-Bx+x my-kx n,=Bx-x my in biochemistry reaction is given ,the existence and uniqueness of limit cycle is completely solved ,and then the variance of limit cycle as the changing of parameter is discussed ,the results in literatures now and before are generalized and included.

关 键 词：生化反应 极限环 HOPF分枝 轨道渐近 稳定 微分方程模型 定性分析 

分 类 号：Q5[生物学—生物化学] O175[理学—数学]