Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with $Φ_p$ Operator and Mittag-Leffler Kernel
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916646022545408 |
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| author | Zinihi, Achraf Ammi, Moulay Rchid Sidi Ehrhardt, Matthias |
| author_facet | Zinihi, Achraf Ammi, Moulay Rchid Sidi Ehrhardt, Matthias |
| contents | This paper investigates a novel nonlinear singular fractional SI model with the $Φ_p$ operator and the Mittag-Leffler kernel. The initial investigation includes the existence, uniqueness, boundedness, and non-negativity of the solution. We then establish Hyers-Ulam stability for the proposed model in Banach space. Optimal control analysis is performed to minimize the spread of infection and maximize the population of susceptible individuals. Finally, the theoretical results are supported by numerical simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14487 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with $Φ_p$ Operator and Mittag-Leffler Kernel Zinihi, Achraf Ammi, Moulay Rchid Sidi Ehrhardt, Matthias Chaotic Dynamics This paper investigates a novel nonlinear singular fractional SI model with the $Φ_p$ operator and the Mittag-Leffler kernel. The initial investigation includes the existence, uniqueness, boundedness, and non-negativity of the solution. We then establish Hyers-Ulam stability for the proposed model in Banach space. Optimal control analysis is performed to minimize the spread of infection and maximize the population of susceptible individuals. Finally, the theoretical results are supported by numerical simulations. |
| title | Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with $Φ_p$ Operator and Mittag-Leffler Kernel |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/2402.14487 |