Different strategies for diabetes by mathematical modeling: Modified Minimal Model
| Autor: | Khalid I.A. Ahmed, Haroon D.S. Adam, M.Y. Youssif, Sayed Saber |
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| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Alexandria Engineering Journal, Vol 80, Iss , Pp 74-87 (2023) |
| Druh dokumentu: | article |
| ISSN: | 1110-0168 38825996 |
| DOI: | 10.1016/j.aej.2023.07.050 |
| Popis: | A fractal-fractional-order of a modified minimal model of glucose-insulin interaction model is proposed in sense of Atangana-Baleanu operator based on the intravenous glucose tolerance test (IVGT). Based on the fractal-fractional sense, we examine the existence of the solution, Hyers-Ulam stability, uniqueness, non-negativity, positivity, and boundedness. The model is analyzed qualitatively using its equivalent integral using an iterative convergence sequence and fixed point approach. A numerical scheme for the fractal-fractional model is then applied to a case study. Modified minimal models are reasonable and acceptable. We are interested to see that both analytical and simulation results agree. |
| Databáze: | Directory of Open Access Journals |
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