Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with $\Phi_p$ Operator and Mittag-Leffler Kernel
Chaotic Dynamics
2025-03-10 v1
Abstract
This paper investigates a novel nonlinear singular fractional SI model with the 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.
Keywords
Cite
@article{arxiv.2402.14487,
title = {Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with $\Phi_p$ Operator and Mittag-Leffler Kernel},
author = {Achraf Zinihi and Moulay Rchid Sidi Ammi and Matthias Ehrhardt},
journal= {arXiv preprint arXiv:2402.14487},
year = {2025}
}
Comments
22 pages