摘要
本文讨论了生化反应中一类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定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 of mathematical models for reversible two molecule saturated reaction in bio-chemical reaction are discussed. These models are approximately described at:By means of the methods used in the study of qualitative and stability, we analysed all possible relations among the parameters. We obtained such conclusions as boundedness of solulions of which initial values are in the first quadrant, stability of possitive equilibrium solution and the existence and uniqueness of limit cycle.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
1989年第4期473-481,共9页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
