A fractional order age-specific smoke epidemic model
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Date
2023
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Elsevier
Abstract
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.
Description
This article is published by Elsevier 2023 and is also available at https://doi.org/10.1016/j.apm.2023.02.019
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Citation
Applied Mathematical Modelling 119 (2023) 99–118