A new application of fractional glucose-insulin model and numerical solutions

Autor: Bilgil, Halis, Sorgun, Sezer, Öztürk, Zafer
Jazyk: angličtina
Rok vydání: 2024
Popis: Along with the developing technology, obesity and diabetes are increasing rapidly among people. Theidentification of diabetes diseases, modeling, predicting their behavior, conducting simulations, studying control andtreatment methods using mathematical methods has become of great importance. In this paper, we have obtainednumerical solutions by considering the glucose-insulin fractional model. This model consists of three compartments:the blood glucose concentration (𝐺), the blood insulin concentration (𝐼) and the ready-to-absorb glucose concentration(𝐷) in the small intestine. The fractional derivative is used in the sense of Caputo. By performing mathematicalanalyzes for the Glucose-Insulin fractional mathematical model, numerical results were obtained with the help of theEuler method and graphs were drawn.
Databáze: OpenAIRE