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

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.

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Published: 2022-07-25

How to Cite this Article:

Sellishi Habte, Fasil Gidaf, Habtamu Siraw, Tadesse Mergiaw, Getachew Tsegaw, Ashenafi Woldeselassie, Melaku Abera, Mahmud Kassim, Wondosen Lisanu, Belete Ayalew, Alebechew Molla, Benyam Mebrate, Sensitivity and mathematical model analysis on smoking with health education effect, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 68

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.

Commun. Math. Biol. Neurosci.

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