ABSTRACT In order to study whether haemoglobin (Hb) can replace peroxidase and has good catalytic properties. The key to exploring the characteristics of Hb peroxidase is to establish a suitable kinetic model, which is studied in this paper. First, according to the Hb catalytic reaction, a nonlinear system is established and improved. It is proved that the established system is in line with the practical significance. The stability of the original system is judged by analysing the stability of the simplified system. Then, considering the effect of time delay on Hb catalytic reaction, a nonlinear time-delay catalytic reaction system is obtained. For convenient application, the system is linearized using Taylor’s formula, and the dynamic characteristics of Hopf bifurcation are analysed. The response diagrams of three system are plotted by setting perturbation parameters, and their variations are observed to analyse the differences among them. The results show that the nonlinear time-delay system can better describe the characteristics of the catalytic reaction.

中文翻译：

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血红蛋白催化反应动力学系统建模与分析

摘要 为了研究血红蛋白（Hb）是否可以替代过氧化物酶并具有良好的催化性能。探索Hb过氧化物酶特性的关键是建立合适的动力学模型，本文对此进行了研究。首先，根据Hb催化反应，建立和改进非线性系统。证明所建立的制度符合实际意义。通过分析简化系统的稳定性来判断原系统的稳定性。然后，考虑时滞对Hb催化反应的影响，得到非线性时滞催化反应体系。为方便应用，利用泰勒公式对系统进行了线性化，并分析了Hopf分岔的动态特性。通过设置扰动参数绘制三个系统的响应图，观察它们的变化，分析它们之间的差异。结果表明非线性时滞系统能较好地描述催化反应的特性。