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

Archives › Volume 2022 (2022)

Commun. Math. Biol. Neurosci. 2022 (2022), Article ID 68

Sensitivity and mathematical model analysis on smoking with health education effect

Sellishi Habte, Fasil Gidaf, Habtamu Siraw, Tadesse Mergiaw, Getachew Tsegaw, Ashenafi Woldeselassie, Melaku Abera, Mahmud Kassim, Wondosen Lisanu, Belete Ayalew, Alebechew Molla, Benyam Mebrate

PDF (243.8 KB) https://doi.org/10.28919/cmbn/6831

Abstract

In this article we are given a mathematical model of smoking with health education effect. The solution of the model is positive (if the initial population is positive) and bounded. The reproductive number R0 is calculated from the model, and we show if R0>1 the endemic equilibrium point exists and is unique, and if R0≤1 the endemic equilibrium point does not exist. Smoking free equilibrium point is stable when R0<1, and endemic equilibrium point is stable when R0>1. Numerical simulation has been included to show stability and instability of equilibrium points. Furthermore, we study the relative change in R0 if the value of the parameter changes, this is called sensitivity analysis of parameters involving in the reproductive number.

Published
25 July 2022
Volume
2022 (2022)
License
CC BY 3.0

Copyright © 2022 Sellishi Habte, Fasil Gidaf, Habtamu Siraw, Tadesse Mergiaw, Getachew Tsegaw, Ashenafi Woldeselassie, Melaku Abera, Mahmud Kassim, Wondosen Lisanu, Belete Ayalew, Alebechew Molla, Benyam Mebrate. 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

S. Habte, F. Gidaf, H. Siraw, T. Mergiaw, G. Tsegaw, A. Woldeselassie, M. Abera, M. Kassim, W. Lisanu, B. Ayalew, A. Molla, B. Mebrate, Sensitivity and mathematical model analysis on smoking with health education effect, Commun. Math. Biol. Neurosci. 2022 (2022), 68. https://doi.org/10.28919/cmbn/6831

BibTeX
@article{Habte2022,
  author  = {Habte, Sellishi and Gidaf, Fasil and Siraw, Habtamu and Mergiaw, Tadesse and Tsegaw, Getachew and Woldeselassie, Ashenafi and Abera, Melaku and Kassim, Mahmud and Lisanu, Wondosen and Ayalew, Belete and Molla, Alebechew and Mebrate, Benyam},
  title   = {Sensitivity and mathematical model analysis on smoking with health education effect},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2022},
  year    = {2022},
  pages   = {68},
  doi     = {10.28919/cmbn/6831}
}