Analysis of the fractional-order epidemic model of smoking tobacco with the impact of nicotine gum

Abstract

In this work, we present a fractional dynamic model to explain the spread of the smoking habit among individuals when parameters for nicotine gum consumption are given to active smokers. In line to the epidemy theory, it was shown that the stability of the smoking-endemic equilibrium as well as the smoking-free equilibrium is influenced by the basic reproduction number. A numerical example is provided to show that the results are valid. The results show that providing nicotine gum to smokers who are currently in the habit can decrease the number of active smokers and raise the number of secondhand smokers.