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Commun. Math. Biol. Neurosci. 2024 (2024), Article ID 66

Analysis of the fractional-order epidemic model of smoking tobacco with the impact of nicotine gum

Narwen -, Muhafzan -

Abstract

In this work, we present a fractional dynamic model to explain the spread of the smoking habit among individuals when parameters for nicotine gum consumption are given to active smokers. In line to the epidemy theory, it was shown that the stability of the smoking-endemic equilibrium as well as the smoking-free equilibrium is influenced by the basic reproduction number. A numerical example is provided to show that the results are valid. The results show that providing nicotine gum to smokers who are currently in the habit can decrease the number of active smokers and raise the number of secondhand smokers.

Published
17 June 2024
Volume
2024 (2024)
License
CC BY 3.0

Copyright © 2024 Narwen -, Muhafzan -. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

N. -, M. -, Analysis of the fractional-order epidemic model of smoking tobacco with the impact of nicotine gum, Commun. Math. Biol. Neurosci. 2024 (2024), 66. https://doi.org/10.28919/cmbn/8633

BibTeX
@article{-2024,
  author  = {-, Narwen and -, Muhafzan},
  title   = {Analysis of the fractional-order epidemic model of smoking tobacco with the impact of nicotine gum},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2024},
  year    = {2024},
  pages   = {66},
  doi     = {10.28919/cmbn/8633}
}