Work

Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with $Φ_p$ Operator and Mittag-Leffler Kernel

Year: 2025

Type: article

Abstract: 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.

Source: Advances in Applied Mathematics and Mechanics

DOI: 10.4208/aamm.oa-2024-0134

Authors: Achraf Zinihi, Moulay Rchid Sidi Ammi, Matthias Ehrhardt

Institutions: Université Moulay Ismail de Meknes, University of Wuppertal

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: green

OpenAlex ID: W4410475170

FWCI: 1.699

Cites: 35

Cited by: 2

Related to: 10