Skip to content
Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2023 (2023)

Commun. Math. Biol. Neurosci. 2023 (2023), Article ID 39

Dynamic model of smokers and its sensitivity analysis

Moch. Fandi Ansori, Ratna Herdiana

PDF (1.7 MB) https://doi.org/10.28919/cmbn/7947

Abstract

We study a smoking dynamical model with two types of smokers: beginners and heavy smokers. The qualitative behavior of the model, such as the stability of the equilibrium points and the basic reproduction number, is investigated. We show some simulations to validate the analytical findings, such as solution dynamics at different time scales and phase portraits of solutions with varying initial conditions. We also present a normalized sensitivity analysis of the basic reproduction number to discover which parameter has the most impact on smoking transmission, and perform a time-dependent sensitivity analysis of parameters to examine their impact on population dynamics.

Published
24 April 2023
Volume
2023 (2023)
License
CC BY 3.0

Copyright © 2023 Moch. Fandi Ansori, Ratna Herdiana. 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

M. F. Ansori, R. Herdiana, Dynamic model of smokers and its sensitivity analysis, Commun. Math. Biol. Neurosci. 2023 (2023), 39. https://doi.org/10.28919/cmbn/7947

BibTeX
@article{Ansori2023,
  author  = {Ansori, Moch. Fandi and Herdiana, Ratna},
  title   = {Dynamic model of smokers and its sensitivity analysis},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2023},
  year    = {2023},
  pages   = {39},
  doi     = {10.28919/cmbn/7947}
}