Numerical simulation for the fractional diabetes model by fractional variational iteration method

Ajay Kumar Sharma; Pradeep Kashyap

doi:https://doi.org/10.14445/22315373/IJMTT-V66I1P519

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 1 | Year 2020 | Article Id. IJMTT-V66I1P519 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I1P519

Numerical simulation for the fractional diabetes model by fractional variational iteration method

Ajay Kumar Sharma, Pradeep Kashyap

Citation :

Ajay Kumar Sharma, Pradeep Kashyap, "Numerical simulation for the fractional diabetes model by fractional variational iteration method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 1, pp. 157-164, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I1P519

Abstract

In this paper, a mathematical study of the size of a population of diabetes mellitus patients is carried out. The study also monitors the number of patients with complications. By appropriate definition of a parameter, the mathematical model may be classified as linear or non-linear. The non-linear case is discussed and the critical values of the population are analysed for stability. The model equations were solved using the Fractional Variational Iteration Method (FVIM). Graphs were generated from the results obtained using Maple software. It was observed that the parameters involved play a crucial role in the size of population of diabetics and the number of diabetics with complications at time t. Numerical methods are developed for solving the model equations and the results of numerical simulations are reported.

Keywords

Fractional diabetes model; Fractional variational iteration method; Caputo fractional derivative

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