Analysis and controllability of diabetes model for experimental data by using fractional operator

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dc.authoridNisar, Prof. Kottakkaran Sooppy/0000-0001-5769-4320
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAhmad, Aqeel
dc.contributor.authorZehra, Anum
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.authorHincal, Evren
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:27:29Z
dc.date.available2024-12-24T19:27:29Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractDiabetes is a silent illness that is endangering public health in society. Diabetes is a chronic disease affecting millions of people worldwide, and understanding the underlying mechanisms of glucose homeostasis is crucial for managing this condition. Diabetes is a significant public health issue due to the early morbidity, mortality, shortened life expectancy, and financial and other expenses to the patient, their careers, and the health care system. In this study, we propose a mathematical model consisting of fl-cells, insulin, glucose, and growth hormone that incorporates the fractional operator. Using the Lyapunov function, we treated a global stability analysis and investigated the impact of a new wave of dynamical transmission on the equilibrium points of the second derivative. With the Lipschitz criteria and linear growth, the exact singular solution for the proposed model has been determined. Furthermore, we present a detailed analysis of infections, and numerical simulations are conducted using the Mittag-Leffler Kernel mathematical framework to illustrate the theoretical conclusions for various orders of the fractional derivative. Controllability and observability of the linear system are treated for close loop design to check the relation between the glucose and insulin systems. Overall, our results provide a comprehensive understanding of glucose homeostasis and its underlying mechanisms, contributing to the development of effective diabetes management strategies. The proposed model and mathematical framework offer a valuable tool for investigating complex systems and phenomena, with applications beyond the field of diabetes research and helpful to designing the closed loop for the glucose-insulin system.
dc.description.sponsorshipPrince Sattam bin Abdulaziz University, Saudi Arabia [PSAU/2023/R/1444]
dc.description.sponsorshipThis study is supported via funding from Prince Sattam bin Abdulaziz University, Saudi Arabia project number (PSAU/2023/R/1444).
dc.identifier.doi10.1016/j.matcom.2023.11.017
dc.identifier.endpage148
dc.identifier.issn0378-4754
dc.identifier.issn1872-7166
dc.identifier.scopus2-s2.0-85177978105
dc.identifier.scopusqualityQ1
dc.identifier.startpage133
dc.identifier.urihttps://doi.org/10.1016/j.matcom.2023.11.017
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6656
dc.identifier.volume218
dc.identifier.wosWOS:001126063900001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofMathematics and Computers in Simulation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectDiabetes model
dc.subjectLyapunov stability
dc.subjectFractal-fractional derivative
dc.subjectControllability
dc.subjectLinear growth
dc.subjectClose loop design
dc.titleAnalysis and controllability of diabetes model for experimental data by using fractional operator
dc.typeArticle

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