A fractional order age-specific smoke epidemic model

•A new fractional order age-specific smoke epidemic model is proposed.•The Banach fixed point theorem and the Krasnoselskiis type are used to analyze the model’s existence and uniqueness.•The Lagrange interpolation is used to obtain the desired solution analytically. This paper presents a nonlinear...

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Bibliographic Details
Published inApplied mathematical modelling Vol. 119; pp. 99 - 118
Main Authors Addai, Emmanuel, Zhang, Lingling, Asamoah, Joshua K.  K., Essel, John Fiifi
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.07.2023
Subjects
Atangana-Baleanu-Caputo derivative
Hyers-Ulam stability
Numerical simulation
Smoke epidemiology
Numerical simulation
Atangana-Baleanu-Caputo derivative
Smoke epidemiology
Hyers-Ulam stability
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Summary:•A new fractional order age-specific smoke epidemic model is proposed.•The Banach fixed point theorem and the Krasnoselskiis type are used to analyze the model’s existence and uniqueness.•The Lagrange interpolation is used to obtain the desired solution analytically. 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 potential for both groups, and that age-specific interventions can be used to reduce smoking rates in the general population.
ISSN:0307-904X
DOI:10.1016/j.apm.2023.02.019