A fractional order age-specific smoke epidemic model

被引：39

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

共 34 条

[1] Approximate Solution and Analysis of Smoking Epidemic Model with Caputo Fractional Derivatives [J].

Abdullah M. ;

Ahmad A. ;

Raza N. ;

Farman M. ;

Ahmad M.O. .

International Journal of Applied and Computational Mathematics, 2018, 4 (5)

[2] Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative [J].

Alizadeh, Shahram ;

Baleanu, Dumitru ;

Rezapour, Shahram .

ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)

[3] Fractal-fractional model and numerical scheme based on Newton polynomial for Q fever disease under Atangana-Baleanu derivative [J].

Asamoah, Joshua Kiddy K. .

RESULTS IN PHYSICS, 2022, 34

[4] Non-fractional and fractional mathematical analysis and simulations for Q fever [J].

Asamoah, Joshua Kiddy K. ;

Okyere, Eric ;

Yankson, Ernest ;

Opoku, Alex Akwasi ;

Adom-Konadu, Agnes ;

Acheampong, Edward ;

Arthur, Yarhands Dissou .

CHAOS SOLITONS & FRACTALS, 2022, 156

[5]

Atangana A., 2021, THEORY METHODS APPL

[6] Fractional derivatives with no-index law property: Application to chaos and statistics [J].

Atangana, Abdon ;

Gomez-Aguilar, J. F. .

CHAOS SOLITONS & FRACTALS, 2018, 114 :516-535

[7] Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties [J].

Atangana, Abdon .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 505 :688-706

[8] A new derivative with normal distribution kernel: Theory, methods and applications [J].

Atangana, Abdon ;

Gomez-Aguilar, J. F. .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 476 :1-14

[9] NEW FRACTIONAL DERIVATIVES WITH NON-LOCAL AND NON-SINGULAR KERNEL Theory and Application to Heat Transfer Model [J].

Atangana, Abdon ;

Baleanu, Dumitru .

THERMAL SCIENCE, 2016, 20 (02) :763-769

[10] A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effects [J].

Baleanu, D. ;

Abadi, M. Hassan ;

Jajarmi, A. ;

Vahid, K. Zarghami ;

Nieto, J. J. .

ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (06) :4779-4791

← 1 2 3 4 →