一类生化反应方程极限环问题的研究

STUDY ON THE LIMIT CYCLE FOR A CLASS OFEQUATIONS OF BIOCHEMICAL REACTION

采用一类生化反应方程ｄｘｄｔ＝１－ｘ２ｙ２ｄｙｄｔ＝β（ｘ２ｙ２－ｙ），ｘ≥０，ｙ≥０。

A class of equations of biochemical reactiondxdt=1-x2y2 dydt=β(x2y2-y),x≥0,y≥0,β>0is considered.The Non existence of limit cycle and Hopf bifurcation of eqution are discussed.