{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T21:23:32Z","timestamp":1776806612683,"version":"3.51.2"},"reference-count":66,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Model. Simul. Sci. Comput."],"published-print":{"date-parts":[[2025,4]]},"abstract":"<jats:p> This paper investigates the dynamics of a fractional-order glucose\u2013insulin regulatory system using an enhanced Laplace residual power series method incorporating the Atangana\u2013Baleanu derivative. The Atangana\u2013Baleanu derivative, characterized by its nonlocal and nonsingular kernel, offers a more accurate representation of memory and hereditary effects in biological systems compared to traditional derivatives. By employing the enhanced Laplace residual power series method, the study achieves precise numerical solutions and captures the complex behaviors of the system, including stability, bifurcations, and chaotic oscillations. Stability analysis through Lyapunov exponents and bifurcation diagrams reveals the intricate transitions between stable, oscillatory, and chaotic regimes, influenced by fractional-order dynamics and parameter variations. The proposed method demonstrates significant improvements in computational efficiency and solution accuracy, particularly for fractional-order systems with complex interactions. This work highlights the potential of fractional calculus, especially the Atangana\u2013Baleanu framework, in advancing our understanding of glucose\u2013insulin regulation and designing effective strategies for diabetes management. <\/jats:p>","DOI":"10.1142\/s1793962325500308","type":"journal-article","created":{"date-parts":[[2025,3,1]],"date-time":"2025-03-01T03:31:02Z","timestamp":1740799862000},"source":"Crossref","is-referenced-by-count":11,"title":["Numerical analysis and stability of a fractional glucose\u2013insulin regulatory system using the laplace residual power series method incorporating the Atangana\u2013Baleanu derivative"],"prefix":"10.1142","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5790-3222","authenticated-orcid":false,"given":"Sayed","family":"Saber","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Al-Baha University, Al-Baha, Saudi Arabia"},{"name":"Department of Mathematics and Computer Science, Faculty of Science, Beni-Suef University, Egypt"}]},{"ORCID":"https:\/\/orcid.org\/0009-0002-1385-3208","authenticated-orcid":false,"given":"Safa M.","family":"Mirgani","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics, College of Science, Imam Mohammed Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia"}]}],"member":"219","published-online":{"date-parts":[[2025,3,28]]},"reference":[{"key":"S1793962325500308BIB006","doi-asserted-by":"publisher","DOI":"10.1097\/01.ten.0000089917.44590.5d"},{"key":"S1793962325500308BIB007","doi-asserted-by":"publisher","DOI":"10.1046\/j.1464-5491.1999.00081.x"},{"key":"S1793962325500308BIB008","doi-asserted-by":"publisher","DOI":"10.1042\/cs1010001"},{"key":"S1793962325500308BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/0169-2607(94)90053-1"},{"key":"S1793962325500308BIB010","doi-asserted-by":"publisher","DOI":"10.1006\/cbmr.1998.1506"},{"key":"S1793962325500308BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.01.129"},{"key":"S1793962325500308BIB012","volume-title":"Human Physiology: From Cell to Systems","author":"Sherwood L.","year":"2015"},{"key":"S1793962325500308BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/S0303-2647(00)00136-2"},{"key":"S1793962325500308BIB014","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-5193(05)80055-4"},{"key":"S1793962325500308BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-5193(87)80154-6"},{"key":"S1793962325500308BIB016","doi-asserted-by":"publisher","DOI":"10.1088\/0031-9155\/9\/2\/307"},{"issue":"10","key":"S1793962325500308BIB017","first-page":"709","volume":"47","author":"Molnar G.","year":"1972","journal-title":"Mayo Clin. Proc."},{"key":"S1793962325500308BIB018","doi-asserted-by":"publisher","DOI":"10.1038\/scientificamerican0291-78"},{"key":"S1793962325500308BIB019","doi-asserted-by":"publisher","DOI":"10.15388\/NA.1998.2.0.15301"},{"key":"S1793962325500308BIB020","doi-asserted-by":"publisher","DOI":"10.1109\/31.1822"},{"key":"S1793962325500308BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/S0764-4469(01)01377-4"},{"key":"S1793962325500308BIB022","doi-asserted-by":"publisher","DOI":"10.1016\/j.crvi.2003.09.011"},{"key":"S1793962325500308BIB023","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2014.05.015"},{"key":"S1793962325500308BIB024","volume-title":"Impact of Chaos on Science and Society","author":"Grebogi C.","year":"1997"},{"key":"S1793962325500308BIB025","doi-asserted-by":"publisher","DOI":"10.1111\/j.1749-6632.1990.tb15098.x"},{"key":"S1793962325500308BIB026","doi-asserted-by":"publisher","DOI":"10.1016\/S0006-3495(85)83926-6"},{"key":"S1793962325500308BIB027","doi-asserted-by":"publisher","DOI":"10.1007\/BF02699784"},{"key":"S1793962325500308BIB028","doi-asserted-by":"publisher","DOI":"10.1007\/BF00280883"},{"key":"S1793962325500308BIB029","doi-asserted-by":"publisher","DOI":"10.1152\/jappl.1961.16.5.783"},{"key":"S1793962325500308BIB030","doi-asserted-by":"publisher","DOI":"10.2337\/dci18-0007"},{"key":"S1793962325500308BIB031","doi-asserted-by":"publisher","DOI":"10.1016\/j.diabres.2017.03.024"},{"key":"S1793962325500308BIB032","volume-title":"Fractional Differential Equations","author":"Podlubny I.","year":"1999"},{"key":"S1793962325500308BIB033","volume-title":"Theory and Applications of Fractional Differential Equations","author":"Kilbas A. A.","year":"2006"},{"issue":"1","key":"S1793962325500308BIB034","first-page":"73","volume":"27","author":"Al-Mdallal Q. M.","year":"2015","journal-title":"J. King Saud Univ. Sci."},{"key":"S1793962325500308BIB035","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2005.10.068"},{"key":"S1793962325500308BIB036","doi-asserted-by":"publisher","DOI":"10.2298\/TSCI160111018A"},{"key":"S1793962325500308BIB037","first-page":"89","volume":"156","author":"Hassan S. Z.","year":"2019","journal-title":"Math. Comput. Simul."},{"key":"S1793962325500308BIB038","first-page":"189","volume":"91","author":"Ahmed N.","year":"2021","journal-title":"Appl. Math. Model."},{"key":"S1793962325500308BIB039","first-page":"113010","volume":"404","author":"Zhao Z.","year":"2022","journal-title":"J. Comput. Appl. Math."},{"key":"S1793962325500308BIB040","doi-asserted-by":"publisher","DOI":"10.1515\/fca-2020-0017"},{"issue":"5","key":"S1793962325500308BIB041","doi-asserted-by":"crossref","first-page":"738","DOI":"10.3390\/math8050706","volume":"8","author":"Hussain S.","year":"2020","journal-title":"Mathematics"},{"key":"S1793962325500308BIB042","first-page":"1","volume":"1","author":"Rihan F. A.","year":"2016","journal-title":"Fract. Differ. Equ. Appl."},{"key":"S1793962325500308BIB043","doi-asserted-by":"publisher","DOI":"10.1016\/j.aej.2025.02.066"},{"key":"S1793962325500308BIB044","doi-asserted-by":"publisher","DOI":"10.1063\/5.0185906"},{"key":"S1793962325500308BIB045","doi-asserted-by":"publisher","DOI":"10.1016\/j.rinp.2023.107311"},{"key":"S1793962325500308BIB046","doi-asserted-by":"publisher","DOI":"10.1038\/s41598-023-49541-z"},{"key":"S1793962325500308BIB047","doi-asserted-by":"publisher","DOI":"10.3934\/math.20231319"},{"key":"S1793962325500308BIB048","doi-asserted-by":"publisher","DOI":"10.2298\/TSCI2406153A"},{"key":"S1793962325500308BIB049","doi-asserted-by":"publisher","DOI":"10.1515\/ijnsns-2020-0201"},{"key":"S1793962325500308BIB050","doi-asserted-by":"publisher","DOI":"10.1080\/16583655.2021.1872197"},{"key":"S1793962325500308BIB051","doi-asserted-by":"publisher","DOI":"10.3846\/mma.2022.14007"},{"key":"S1793962325500308BIB052","doi-asserted-by":"publisher","DOI":"10.17512\/jamcm.2024.1.07"},{"key":"S1793962325500308BIB053","doi-asserted-by":"publisher","DOI":"10.2298\/TSCI2406001Y"},{"key":"S1793962325500308BIB054","doi-asserted-by":"publisher","DOI":"10.2298\/TSCI2406161A"},{"key":"S1793962325500308BIB055","doi-asserted-by":"publisher","DOI":"10.1016\/j.rinp.2023.106892"},{"key":"S1793962325500308BIB056","doi-asserted-by":"publisher","DOI":"10.1016\/j.aej.2023.07.050"},{"key":"S1793962325500308BIB057","doi-asserted-by":"publisher","DOI":"10.3934\/math.20231504"},{"key":"S1793962325500308BIB058","doi-asserted-by":"publisher","DOI":"10.3934\/math.20231319"},{"key":"S1793962325500308BIB059","doi-asserted-by":"publisher","DOI":"10.1080\/16583655.2025.2460280"},{"key":"S1793962325500308BIB060","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2008.02.001"},{"key":"S1793962325500308BIB061","doi-asserted-by":"publisher","DOI":"10.1186\/s13661-023-01706-5"},{"key":"S1793962325500308BIB062","doi-asserted-by":"publisher","DOI":"10.1088\/1402-4896\/ac0867"},{"key":"S1793962325500308BIB063","doi-asserted-by":"publisher","DOI":"10.1002\/mma.7838"},{"key":"S1793962325500308BIB064","doi-asserted-by":"publisher","DOI":"10.1016\/j.aej.2022.09.039"},{"key":"S1793962325500308BIB065","doi-asserted-by":"publisher","DOI":"10.1016\/j.aej.2024.08.049"},{"key":"S1793962325500308BIB066","doi-asserted-by":"publisher","DOI":"10.1016\/j.rinp.2022.105661"},{"key":"S1793962325500308BIB067","doi-asserted-by":"publisher","DOI":"10.1016\/j.rinp.2022.105990"},{"key":"S1793962325500308BIB068","doi-asserted-by":"publisher","DOI":"10.1016\/j.rinp.2022.105912"},{"key":"S1793962325500308BIB069","doi-asserted-by":"publisher","DOI":"10.1111\/j.1365-246X.1967.tb02303.x"},{"issue":"9","key":"S1793962325500308BIB070","first-page":"1352","volume":"45","author":"Elsadany A. A.","year":"2012","journal-title":"Chaos Solitons Fractals"},{"key":"S1793962325500308BIB071","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2018.04.029"}],"container-title":["International Journal of Modeling, Simulation, and Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793962325500308","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,4,30]],"date-time":"2025-04-30T03:34:50Z","timestamp":1745984090000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S1793962325500308"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,3,28]]},"references-count":66,"journal-issue":{"issue":"02","published-print":{"date-parts":[[2025,4]]}},"alternative-id":["10.1142\/S1793962325500308"],"URL":"https:\/\/doi.org\/10.1142\/s1793962325500308","relation":{},"ISSN":["1793-9623","1793-9615"],"issn-type":[{"value":"1793-9623","type":"print"},{"value":"1793-9615","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,3,28]]},"article-number":"2550030"}}