Different strategies for diabetes by mathematical modeling: Modified Minimal Model

Abstract

A fractal-fractional-order of a modified minimal model of glucose-insulin interaction model is proposed in sense of Atangana-Baleanu operator based on the intravenous glucose tolerance test (IVGT). Based on the fractal-fractional sense, we examine the existence of the solution, Hyers-Ulam stability, uniqueness, non-negativity, positivity, and boundedness. The model is analyzed qualitatively using its equivalent integral using an iterative convergence sequence and fixed point approach. A numerical scheme for the fractal-fractional model is then applied to a case study. Modified minimal models are reasonable and acceptable. We are interested to see that both analytical and simulation results agree.