In this paper, we investigate the dynamics of a fractional nonlinear
dier- ential equation glucose-insulin system that arise in Bergman’s
minimal model, used to describe blood glucose and insulin metabolism,
after intravenous tol- erance testing. We also discuss the stability and
existence, uniqueness, non- negativity and boundedness of the solution.
Moreover, we adapted the shifted Jacobi Gauss Radau collocation
(SJ-GR-C) method for the fractional-order of IVGTT glucose-insulin
interaction. Furthermore, numerical simulations are carried out to
illustrate the main theoretical results.