一类生化反应动力系统的定性分析

Qualitative analysis of a kind of dynamical systems in biochemistry reaction

随着微分动力学的发展,其作为一种研究实际问题的一种重要工具,已经渗透到各个领域,特别是生物化学领域.应用微分方程定性理论研究一类生化反应模型,对奇点进行了分类,给出了奇点周围极限环的不存在性存在性的充分条件.完善了此类微分动力系统的定性分析.

With the development of differential dynamics, as an important tool of studying practical issues, differential dynamics has already penetrated into all fields, especially the field of biochemistry. A class of biochemical reaction model was studied by the qualitative theory of differential equations, the classification of singular points and the existence and nonexistence of the limit cycles around the singular points about the sufficient conditions were given. And the differential dynamic system qualitative analysis was improved.