Smoking dynamics with health education effect.

*(English)*Zbl 1426.92095Summary: 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.

##### Keywords:

smoking dynamics; mathematical modeling; health education; equilibrium; stability; Lyapunov function
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##### References:

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