Analysis Mathematics Model to Prevent Increase the Number of Smokers

Abstract

This study aimed to analyze the prevention of the increase the number of smokers in a population through a mathematical model. This study construct based on some research before, which are paper has different investigation about smoking mathematics modelling and curtailing. This research discuss about controlling the increase of the number of smokers by campaign including regulations. Moreover, the population was divided into six compartments, namely potential smokers, active smokers, temporary quit smokers, former smokers, people who is promoting to stop smoking by allowing campaign, and people who is recovered smoking. It is represent by a nonlinear differential system. The theoretical analysis of mathematics model that the associated smoking equilibrium is local-asymptotically stable whenever a certain threshold, known as the smokers generation number. The model shows that the impact of awareness created by campaigns on the smoking cessation increases in, smoker population decreases. It's also shows on graphically by simulation steps which is consider initial condition.