生化反应中一类微分方程模型的定性分析

Qualitative analysis of a nonlinear differential dynamic system

目的研究一类非线性微分动力系统的定性行为。方法运用常微分方程定性理论进行讨论。结果得到了该系统存在惟一极限环的充要条件,并讨论了极限环随参数变化的情况。结论常微分方程定性理论可用于研究生物化学反应。

Aim To study the qualitative behavior of the solution of a nonlinear differential dynamical system. Methods The qualitative theories of ordinary differential equations are used. Results The necessary and sufficient condition of the existence and uniqueness of the limit cycles in this system is completely solved, and then the variance of limit cycle as the changing of parameter is discussed. Conclusion The theories of ordinary differential equations can be used to study bio-chemical reaction.