Mathematical Study of Diabetes Using the Homotopy Perturbation Method
- Author Ilea Mihai
- Co-Author Turnea Marius, Arotaritei Dragos, Andrei Gheorghita, Rotariu Mariana
- DOI
- Country : Romania
- Subject : Medical Biosciences
Keywords : Glucose;Insulin;Differential Systems;Diabets,Homotopy method
Abstract
Diabetes is one of the most widespread metabolic disorders. The aim of mathematical modeling is to help a patient and his doctor in management of diabetes.We studied a ordinary differential mathematical model of diabetes using the Homotopy. This method is very effective and convenient for solving nonlinear differential systems.equations. Perturbation method and the result obtained shows that the parameters involved played a crucial role in the size of population of diabetes at time and the number of diabetics with complication. The proposed method does not require small parameters in the equations, so the limitations of the traditional perturbation methods can be eliminated. The approximations obtained by this method are valid not only for small parameters, but also for very large parameters
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