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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.
MSC:
92D50 Animal behavior
34D23 Global stability of solutions to ordinary differential equations
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[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
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