摘要
本文讨论了生化反应中一个可逆两分子饱和反应,它的数学模型可近似表达为应用常微分方程性和稳定性的方法分析了参数的所有情况,得到了正初值的正半轨线的有界性、正平衡点的稳定性及极限环的存在唯一性等结论。
In this paper,a class reversible two molecules saturated reaction in Bio-Chemical reaction is discussed. Its mathematical model is discribed as follows: (dx)/(dt)=k(y+1)(δ-xy-ax+by), (dy)/(dt)=y(xy-by+x-a) Using ordinary differential equation qualitative and stability method, we analysis all cases of parade ters and obtain such conclusions as boundedness of solutions which initial value is in the first quadrant, stability of positive equilibrium solution and the existence and uniqueness of limit cycle.
出处
《应用数学与计算数学学报》
1990年第2期35-42,共8页
Communication on Applied Mathematics and Computation
