SENSITIVITY AND MATHEMATICAL MODEL ANALYSIS ON SMOKING WITH HEALTH EDUCATION EFFECT

被引：1

作者：

Habte, Sellishi ^{[1
]}

Gidaf, Fasil ^{[1
]}

Siraw, Habtamu ^{[1
]}

Mergiaw, Tadesse ^{[1
]}

Tsegaw, Getachew ^{[1
]}

Woldeselassie, Ashenafi ^{[2
]}

Abera, Melaku ^{[3
]}

Kassim, Mahmud ^{[2
]}

Lisanu, Wondosen ^{[2
]}

Ayalew, Belete ^{[3
]}

Molla, Alebechew ^{[3
]}

Mebrate, Benyam ^{[1
]}

机构：

[1] Wollo Univ, Dept Math, Dessie, Ethiopia

[2] Woldia Univ, Fac Nat & Computat Sci, Woldia, Ethiopia

[3] Wollo Univ, Kombolcha Inst Technol, Kombolcha, Ethiopia

来源：

COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2022年

关键词：

health education; smoking; reproduction number; endemic equilibrium point; DRAFT;

D O I：

10.28919/cmbn/6831

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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 R-0 is calculated from the model, and we show if R-0 > 1 the endemic equilibrium point exists and is unique, and if R-0 <= 1 the endemic equilibrium point does not exist. Smoking free equilibrium point is stable when R-0 < 1, and endemic equilibrium point is stable when R-0 > 1: Numerical simulation has been included to show stability and instability of equilibrium points. Furthermore, we study the relative change in R-0 if the value of the parameter changes, this is called sensitivity analysis of parameters involving in the reproductive number.

引用

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