Different strategies for diabetes by mathematical modeling: Modified Minimal Model
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,...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-10-01
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| Series: | Alexandria Engineering Journal |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016823006324 |
| _version_ | 1797665445025677312 |
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| author | Khalid I.A. Ahmed Haroon D.S. Adam M.Y. Youssif Sayed Saber |
| author_facet | Khalid I.A. Ahmed Haroon D.S. Adam M.Y. Youssif Sayed Saber |
| author_sort | Khalid I.A. Ahmed |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T19:44:02Z |
| format | Article |
| id | doaj.art-f38825996d054c67a11c688692c842d9 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-03-11T19:44:02Z |
| publishDate | 2023-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-f38825996d054c67a11c688692c842d92023-10-06T04:43:56ZengElsevierAlexandria Engineering Journal1110-01682023-10-01807487Different strategies for diabetes by mathematical modeling: Modified Minimal ModelKhalid I.A. Ahmed0Haroon D.S. Adam1M.Y. Youssif2Sayed Saber3Department of Basic Sciences, Deanship of the Preparatory Year, Najran University, Najran, Saudi ArabiaDepartment of Basic Sciences, Deanship of the Preparatory Year, Najran University, Najran, Saudi ArabiaDepartment of Mathematics and Statistics, College of Science, Taif University, Taif 21944, Saudi ArabiaDepartment of Mathematics and Statistics, Faculty of Science, Beni-Suef University, Egypt; Department of Mathematics, Faculty of Science and Arts in Baljurashi, Al-Baha University, Baljurashi, Saudi Arabia; Corresponding author.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.http://www.sciencedirect.com/science/article/pii/S1110016823006324 |
| spellingShingle | Khalid I.A. Ahmed Haroon D.S. Adam M.Y. Youssif Sayed Saber Different strategies for diabetes by mathematical modeling: Modified Minimal Model Alexandria Engineering Journal |
| title | Different strategies for diabetes by mathematical modeling: Modified Minimal Model |
| title_full | Different strategies for diabetes by mathematical modeling: Modified Minimal Model |
| title_fullStr | Different strategies for diabetes by mathematical modeling: Modified Minimal Model |
| title_full_unstemmed | Different strategies for diabetes by mathematical modeling: Modified Minimal Model |
| title_short | Different strategies for diabetes by mathematical modeling: Modified Minimal Model |
| title_sort | different strategies for diabetes by mathematical modeling modified minimal model |
| url | http://www.sciencedirect.com/science/article/pii/S1110016823006324 |
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