Numerical investigation of an SIR fractional order delay epidemic model in the framework of Mittag–Leffler kernel
A fractional order delay SIR model in Mittag–Leffler kernel is proposed. The model initially presented in integer order system and later extended by applying the Atangana-Baleanu derivative. The essential properties of the model are investigated. Equilibrium points of the fractional system are analy...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Springer Science and Business Media B.V.
2025
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| Online Access: | http://psasir.upm.edu.my/id/eprint/120529/ http://psasir.upm.edu.my/id/eprint/120529/1/120529.pdf |
| _version_ | 1848868197867978752 |
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| author | Al-Hdaibat, Bashir DarAssi, Mahmoud H. Ahmad, Irfan Khan, Muhammad Altaf Algethamie, Reem Alzahrani, Ebraheem |
| author_facet | Al-Hdaibat, Bashir DarAssi, Mahmoud H. Ahmad, Irfan Khan, Muhammad Altaf Algethamie, Reem Alzahrani, Ebraheem |
| author_sort | Al-Hdaibat, Bashir |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A fractional order delay SIR model in Mittag–Leffler kernel is proposed. The model initially presented in integer order system and later extended by applying the Atangana-Baleanu derivative. The essential properties of the model are investigated. Equilibrium points of the fractional system are analyzed, and multiple equilibrium points are identified and discussed. The permanence of the model for R0≤1 is established. Local stability of the fractional model is examined. For the fractional system, we prove the existence and uniqueness (EUs) result. We obtain the numerical results for fractional delay system by presenting a novel computational procedure, and various sets of numerical values are used to generate graphical results. Different solution behaviors of the model are observed for various numerical values and fractional order parameters. |
| first_indexed | 2025-11-15T14:48:34Z |
| format | Article |
| id | upm-120529 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:48:34Z |
| publishDate | 2025 |
| publisher | Springer Science and Business Media B.V. |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1205292025-10-06T01:14:53Z http://psasir.upm.edu.my/id/eprint/120529/ Numerical investigation of an SIR fractional order delay epidemic model in the framework of Mittag–Leffler kernel Al-Hdaibat, Bashir DarAssi, Mahmoud H. Ahmad, Irfan Khan, Muhammad Altaf Algethamie, Reem Alzahrani, Ebraheem A fractional order delay SIR model in Mittag–Leffler kernel is proposed. The model initially presented in integer order system and later extended by applying the Atangana-Baleanu derivative. The essential properties of the model are investigated. Equilibrium points of the fractional system are analyzed, and multiple equilibrium points are identified and discussed. The permanence of the model for R0≤1 is established. Local stability of the fractional model is examined. For the fractional system, we prove the existence and uniqueness (EUs) result. We obtain the numerical results for fractional delay system by presenting a novel computational procedure, and various sets of numerical values are used to generate graphical results. Different solution behaviors of the model are observed for various numerical values and fractional order parameters. Springer Science and Business Media B.V. 2025 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/120529/1/120529.pdf Al-Hdaibat, Bashir and DarAssi, Mahmoud H. and Ahmad, Irfan and Khan, Muhammad Altaf and Algethamie, Reem and Alzahrani, Ebraheem (2025) Numerical investigation of an SIR fractional order delay epidemic model in the framework of Mittag–Leffler kernel. Nonlinear Dynamics, 113 (13). art. no. 102646. pp. 17289-17309. ISSN 0924-090X; eISSN: 1573-269X https://link.springer.com/article/10.1007/s11071-025-11006-5?error=cookies_not_supported&code=66a20ae3-b668-483a-b779-0601dda49027 10.1007/s11071-025-11006-5 |
| spellingShingle | Al-Hdaibat, Bashir DarAssi, Mahmoud H. Ahmad, Irfan Khan, Muhammad Altaf Algethamie, Reem Alzahrani, Ebraheem Numerical investigation of an SIR fractional order delay epidemic model in the framework of Mittag–Leffler kernel |
| title | Numerical investigation of an SIR fractional order delay epidemic model in the framework of Mittag–Leffler kernel |
| title_full | Numerical investigation of an SIR fractional order delay epidemic model in the framework of Mittag–Leffler kernel |
| title_fullStr | Numerical investigation of an SIR fractional order delay epidemic model in the framework of Mittag–Leffler kernel |
| title_full_unstemmed | Numerical investigation of an SIR fractional order delay epidemic model in the framework of Mittag–Leffler kernel |
| title_short | Numerical investigation of an SIR fractional order delay epidemic model in the framework of Mittag–Leffler kernel |
| title_sort | numerical investigation of an sir fractional order delay epidemic model in the framework of mittag–leffler kernel |
| url | http://psasir.upm.edu.my/id/eprint/120529/ http://psasir.upm.edu.my/id/eprint/120529/ http://psasir.upm.edu.my/id/eprint/120529/ http://psasir.upm.edu.my/id/eprint/120529/1/120529.pdf |