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A fractional order age-specific smoke epidemic model.
- Source :
-
Applied Mathematical Modelling . Jul2023, Vol. 119, p99-118. 20p. - Publication Year :
- 2023
-
Abstract
- • 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SMOKE
*EPIDEMIOLOGICAL models
*EPIDEMICS
*SMOKING statistics
Subjects
Details
- Language :
- English
- ISSN :
- 0307904X
- Volume :
- 119
- Database :
- Academic Search Index
- Journal :
- Applied Mathematical Modelling
- Publication Type :
- Academic Journal
- Accession number :
- 163515356
- Full Text :
- https://doi.org/10.1016/j.apm.2023.02.019