ANALISA KESTABILAN MODEL EPIDEMI DARI DINAMIKA POPULASI PEROKOK

Abstract

ABSTRACT

Epidemic model from dynamics of smoker population is modified by SIR model. In this model, smoking habit of smoker can be transmitted to susceptible because of the negative interaction. That smoking habit can cause various diseases not only for the smoker but also the people who are around. Therefore, this research will discuss about an analysis of the behavior of the population dynamics of smoker. Its purpose is to see the spread of smoking habit that happen in a population so that it can be minimal. Analytical result is obtained 2 kinds of equilibrium points, are free equilibrium point and endemic equilibrium point. Stability of each point is determined by basic reproduction number (Ro).

Keywords: Basic Reproduction Number, Epidemic Model, Equilibrium Point, Smoker, Stability