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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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References:
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