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  • 标题:Global Stability for a Binge Drinking Model with Two Stages
  • 本地全文:下载
  • 作者:Hai-Feng Huo ; Na-Na Song
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2012
  • 卷号:2012
  • DOI:10.1155/2012/829386
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
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