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Mathematical Model on Diabetes Millitus Using Fractional Approach; Fractional Homotopy Perturbation Method and Fractional Variational Iteration Method: A Comparison

This research considers a mathematical study of the population size of the patient of the diabetes. This study also considers the number of patients with some complications. Through well defining parameter, mathematical model has been categorized into linear or nonlinear. The nonlinear model is presented and threshold value of the population is analyzed for their stability. Modeling equations are simplified using Fractional Variational Iteration Method and Fractional Homotopy Perturbation Method. Figures for validation are obtained using Maple. Considered parameters regarding the population size of diabetes and the number of diabetes patients with complication have largely affect at a time t. Numerical schemes are developed to solve the modeling equations and the numerical simulation is conducted.