Open AccessMathematical Model on Diabetes Millitus Using Fractional Approach; Fractional Homotopy Perturbation Method and Fractional Variational Iteration Method: A Comparison
Author(s) -
Parveen Rana
Publication year - 2022
Publication title -
research hub
Language(s) - English
Resource type - Journals
ISSN - 2349-7637
DOI - 10.53573/rhimrj.2022.v09i02.001
Subject(s) - homotopy perturbation method , mathematics , homotopy analysis method , nonlinear system , fractional calculus , population , population model , maple , homotopy , medicine , physics , botany , environmental health , quantum mechanics , pure mathematics , biology
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.