Smoking dynamics with health education effect

Abstract

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 R0. We prove that the smoking-free equilibrium is both locally and globally asymptotically stable if R0 < 1; and the smoking-present equilibrium is globally asymptotically stable if R0 > 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.