A fractional order age-specific smoke epidemic model

This paper presents a nonlinear fractional mathematical model for the smoke epidemic that includes two age groups. To solve the smoke epidemic, the Atangana-Baleanu-Caputo fractional derivative is used. The Banach and Krasnoselskii type fixed point theorem is used to determine existence and uniqueness. We explored model stability using the Hyers-Ulam form of stability. Using Lagrange interpolation, the behaviour of the smoke epidemic of the 2-age group model is generated. The numerical simulation shows that the model has po-tential for both groups, and that age-specific interventions can be used to reduce smoking rates in the general population. (c) 2023 Elsevier Inc. All rights reserved.

Automated summary

This paper presents a nonlinear fractional mathematical model for the smoke epidemic that includes two age groups. The Atangana-Baleanu-Caputo fractional derivative is used to solve the smoke epidemic. The Banach and Krasnoselskii type fixed point theorem is used to determine existence and uniqueness. The model's stability is explored using the Hyers-Ulam form of stability. The behaviour of the smoke epidemic of the 2-age group model is generated using Lagrange interpolation. The numerical simulation shows that the model has potential for both groups, and age-specific interventions can be used to reduce smoking rates in the general population.