Department of Applied Mathematics, Lanzhou University of Technology, Gansu, Lanzhou 730050, China
Copyright © 2012 Hai-Feng Huo and Na-Na Song. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A more realistic two-stage model for binge drinking problem is introduced, where the youths
with alcohol problems are divided into those who admit the problem and those who do not
admit it. We also consider the direct transfer from the class of susceptible individuals towards the
class of admitting drinkers. Mathematical analyses establish that the global dynamics of the model
are determined by the basic reproduction number, . The alcohol-free equilibrium is globally asymptotically stable, and the alcohol problems are eliminated from the population if . A unique
alcohol-present equilibrium is globally asymptotically stable if . Numerical simulations are also conducted in the analytic results.