Analysis of a novel time-delay diabetes model

Nowadays, the requirements in the high quality managing and mathematical modeling of diabetes are increasing. Due to the several types of this chronic disease the problem represents a challenging task that was mostly covered in the literature for type 1 diabetes while examining algorithms for artificial pancreas. The aim of the current paper is to analyze a recently developed novel time-delay diabetes model elaborated for both type 1 and type 2 diabetes mellitus; hence, to handle mixed state of these diseases (double diabetes) as well. Control theoretical characteristics are investigated followed by parametric sensitivity analysis for both type 1 and type 2 cases. Finally, the model is compared with the well-known and widely used Cambridge (Hovorka)-model under different simulation scenarios.