Stability analysis of a modified smoking model

• Main Authors: Banocnoc, Joshua Daniel G., Fernandez, Joleen Gail M.
• Format: text
• Language: English
• Published: Animo Repository 2016
• Subjects: Smoking > Mathematics; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/14920
• Institution: De La Salle University

This paper studies the dynamics of a mathematical smoking model. We first introduce a smoking model which is a simplified version of the model presented in [2]. In this model, we divided the population into four sub-populations: non-smokers or potential smokers, occasional smokers, heavy smokers, and quitters. We study the stability of the equilibrium points of the model. Numerical simulations are also conducted to support our results. The analysis tells that whenever the smoking generation number is less than 1, the smoking-free equilibrium is stable. This indicates that the number of smokers will be controlled at steady-state, or even eliminated given that the smoking generation number is less than 1.