Smoking dynamics with health education effect

AIMS Mathematics

关键词: : ;    smoking dynamics;    mathematical modeling;    health education;    equilibrium;    stability;    Lyapunov function;   

DOI  :  10.3934/Math.2018.4.584

学科分类：数学（综合）

来源: AIMS Press

【 摘 要 】

This paper provides a mathematical study for analyzing the dynamics of smoking with health education campaigns involved. The method of next generation matrix is used to derive the basic reproduction number $R_0$. We prove that the smoking-free equilibrium is both locally and globally asymptotically stable if $R_0 < 1$; and the smoking-present equilibrium is globally asymptotically stable if $R_0 > 1$. By comparing with smoking dynamics without health education involved, we conclude that health education can decrease smoking population. Numerical simulations are used to support our conclusions.

【 授权许可】

CC BY