A Neutrosophic differential equation approach for modelling glucose distribution in the bloodstream using neutrosophic sets

Neutrosophic sets are a generalization of fuzzy sets and intuitionistic fuzzy sets. They play an important role in addressing uncertainty, vagueness, and indeterminacy in problem-solving. Differential equations in a neutrosophic environment under Hukuhara differentiability are used to model the amount of glucose distribution and absorption rates in blood. Trapezoidal neutrosophic numbers are used to describe the initial conditions and equation parameters. Equilibrium points, along with their stability analysis, have been performed. Exact solutions are found, and corresponding numerical simulations for different (α,β,γ)-cut values of trapezoidal neutrosophic numbers are performed using MATLAB. •Present a neutrosophic differential equation for modelling glucose distribution in the bloodstream using neutrosophic sets.•Emphasize the neutrosophic dynamics of the proposed model induced by trapezoidal neutrosophic sets.•Convert the neutrosophic glucose distribution model into differential equations with Hukuhara derivatives on neutrosophic function.•Calculate the exact solution for each case, and perform a stability analysis of the model.•Investigate strong neutrosophic solutions of the system.