Work

Modeling and analysis of the dynamics of an excessive gambling problem with modified fractional operator

Year: 2025

Type: article

Abstract: This work introduces a fractional-order model of gambling addiction using the modified Atangana-Baleanu-Caputo operator. We establish solution existence/uniqueness, derive the reproduction number R0, and analyze stability. Numerical results demonstrate how fractional order υ influences addiction dynamics. The model identifies key intervention parameters through sensitivity analysis. The optimal control strategy is proposed to reduce progression to addiction. These approaches provide new tools for understanding and managing problem gambling behaviors.

Source: An International Journal of Optimization and Control Theories & Applications (IJOCTA)

DOI: 10.36922/ijocta.7096

Authors: Mulualem Aychluh, D.L. Suthar, Clemente Cesarano, S.D. Purohit

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: diamond

OpenAlex ID: W4410144612

FWCI: 2.548

Cites:

Cited by: 3

Related to: 10