Abstract

A mathematical model of smoking behaviour in Indonesia with density-dependent death rate

Highlights

  • The mathematical model of smoking behavior was first introduced in [1]

  • This work presents a mathematical model that investigates the impact of smokers on the transmission dynamics of smoking behavior in the Indonesian population

  • Related to the analysis of the model, beside investigating the existence of the smoking-fee equilibrium point and its stability by using some basic theorems in dynamic systems and differential equations, we investigate the stability of smoking-present equilibrium point

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Summary

Introduction

The mathematical model of smoking behavior was first introduced in [1]. In this model, the human population can be categorized into three classes: the non-smoker class (never smoked), the class of smokers, and the class of ex-smokers. In [2] authors developed this model of smoking behavior by dividing the class of ex-smokers into two types: ex-smokers who stopped temporarily and stopped forever This model was further investigated in [3] with a focus on the pressure on the class of temporary ex-smokers to return to the smoker class.

Main results
Flow of movements among the classes
Model assumptions
Model representation
Smoking-free Equilibrium point
Smoking-present equilibrium
Stability of the smoking-present equilibrium point
Analysis of sensitivity parameters
Conclusion
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