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Applied Mathematics and Mechanics (English Edition) ›› 1993, Vol. 14 ›› Issue (6): 589-596.

• 论文 • 上一篇    

EXISTENCE OF CLOSED ORBITS FOR A DIFFERENTIAL EQUATION MODEL CONCERNING MULTI-MOLECULE REACTIONS

张伟年   

  1. Centre for Mathematical Sciences, Chengdu Institute of Computer Applications, Academia Sinica, Chengdu
  • 收稿日期:1992-05-30 出版日期:1993-06-18 发布日期:1993-06-18
  • 通讯作者: Chien Wei-zang

EXISTENCE OF CLOSED ORBITS FOR A DIFFERENTIAL EQUATION MODEL CONCERNING MULTI-MOLECULE REACTIONS

Zhang Wei-nian   

  1. Centre for Mathematical Sciences, Chengdu Institute of Computer Applications, Academia Sinica, Chengdu
  • Received:1992-05-30 Online:1993-06-18 Published:1993-06-18

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摘要： In this paper, the existence of closed orbits for the biochemical reaction model dx/dt=1-xny2,dy/dt=a(xny2-y) is discussed, where n is a positive integer and x≥0,y≥0,a>0 We also point out that the equation has no dosed orbits or has stable limit cycles arising from Hopf bifurcations under a certain condition of a.

Abstract: In this paper, the existence of closed orbits for the biochemical reaction model dx/dt=1-xny2,dy/dt=a(xny2-y) is discussed, where n is a positive integer and x≥0,y≥0,a>0 We also point out that the equation has no dosed orbits or has stable limit cycles arising from Hopf bifurcations under a certain condition of a.

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