In this paper, a delayed differential model based on the intravenous glucose tolerance test is considered. The conditions to determine stability or instability of the model’s steady state are obtained. We obtain the necessary conditions for the appearance of a bifurcation, and we investigate the direction and stability of the local bifurcation. For this purpose, the normal form theory is used. In addition, the numerical diagrams in the direction of theoretical results are drawn.

中文翻译：

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IVGTT葡萄糖-胰岛素相互作用的延迟模型中的分叉分析。

本文考虑了基于静脉葡萄糖耐量试验的延迟微分模型。获得确定模型稳态的稳定性或不稳定性的条件。我们获得了出现分叉的必要条件，并研究了局部分叉的方向和稳定性。为此，使用范式理论。另外，绘制了理论结果方向上的数值图。