A fractional order age-specific smoke epidemic model

被引：38

作者：

Addaia, Emmanuel ^{[1
,2
]}

Zhang, Lingling ^{[2
]}

Asamoahc, Joshua K. K. ^{[3
]}

Esseld, John Fiifi ^{[4
]}

机构：

[1] Taiyuan Univ Technol, Coll Biomed Engn, Taiyuan 030024, Shanxi, Peoples R China

[2] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Shanxi, Peoples R China

[3] Kwame Nkrumah Univ Sci & Technol, Dept Math, Kumasi, Ghana

[4] Portland State Univ, Dept Math & Stat, Portland, OR USA

来源：

APPLIED MATHEMATICAL MODELLING | 2023年 / 119卷

关键词：

Smoke epidemiology; Atangana-Baleanu-Caputo derivative; Hyers-Ulam stability; Numerical simulation; MATHEMATICAL-MODEL; STABILITY; CESSATION;

D O I：

10.1016/j.apm.2023.02.019

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：99 / 118

页数：20

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