title: Modelling effects of public health educational campaigns on drinking dynamics.
abstract: This paper deals with the global property of a drinking model with public health educational campaigns. With the help of Lyapunov function, global stability of equilibria of the model is derived. The alcohol-free equilibrium is globally asymptotically stable and the alcohol problems are eliminated from population if [Formula: see text]. A unique alcohol present equilibrium is globally asymptotically stable if [Formula: see text]. Furthermore, the basic reproductive [Formula: see text] for the model is compared with the basic reproductive number [Formula: see text] for the absence of public health educational campaigns. We conclude that the public health educational campaigns of drinking individuals can slow down the drinking dynamics. Some numerical simulations are also given to explain our conclusions.
authors.affiliation: a Department of Applied Mathematics , Lanzhou University of Technology , Lanzhou , Gansu 730050 , People's Republic of China.
authors.forename: Hong
authors.initials: H
authors.lastname: Xiang
authors.affiliation: a Department of Applied Mathematics , Lanzhou University of Technology , Lanzhou , Gansu 730050 , People's Republic of China.
authors.forename: Na-Na
authors.initials: NN
authors.lastname: Song
authors.affiliation: a Department of Applied Mathematics , Lanzhou University of Technology , Lanzhou , Gansu 730050 , People's Republic of China.
authors.forename: Hai-Feng
authors.initials: HF
authors.lastname: Huo
mesh_terms: D000428:Alcohol Drinking; D006266:Health Education / Q000458:organization & administration*; D006801:Humans; D008962:Models, Theoretical; D015980:Public Health Practice
keywords: 92D25; Drinking model; basic reproduction number; education campaigns; equilibrium; global stability