zbMATH — the first resource for mathematics

Smoking dynamics with health education effect. (English) Zbl 1426.92095
Summary: 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.
92D50 Animal behavior
34D23 Global stability of solutions to ordinary differential equations
Full Text: DOI
[2] V. Bilano; S. Gilmour; T. Moffet, t al. Global trends and projections for tobacco us, 1990-2025: an analysis of smoking indicators from the WHO Comprehensive Information Systems for Tobacco Control, The Lancet, 385 (2015)
[3] I. D. Bier; J. Wilson; P. Studt, t al. Auricular acupunctur, education, and smoking cessation: a randomized, sham-controlled trial, Am. J. Public Health, 92 (2002)
[4] D. de Walque, Does education affect smoking
[5] S. Durkin, E. Brennan and M. Wakefield, Mass media campaigns to promote smoking cessation among
[6] O. Sharomi and A. B. Gumel, Curtailing smoking · Zbl 1261.92023
[14] H. F. Huo and N. N. Song, i>Global stability for a binge drinking model with two-stag, Discrete Dyn. Nat. Soc., 2012 (2012) · Zbl 1253.91157
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.