Global Stability for a Binge Drinking Model with Two Stages | Zendy

HaiFeng Huo | Zendy; Nana Song | Zendy

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Global Stability for a Binge Drinking Model with Two Stages

Author(s) -

HaiFeng Huo,

Nana Song

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/829386

Subject(s) - stability (learning theory) , binge drinking , computer science , environmental health , medicine , machine learning , human factors and ergonomics , poison control

A more realistic two-stage model for binge drinking problem is introduced, where the youthswith alcohol problems are divided into those who admit the problem and those who do notadmit it. We also consider the direct transfer from the class of susceptible individuals towards theclass of admitting drinkers. Mathematical analyses establish that the global dynamics of the modelare determined by the basic reproduction number, R0. The alcohol-free equilibrium is globally asymptotically stable, and the alcohol problems are eliminated from the population if R0<1. A uniquealcohol-present equilibrium is globally asymptotically stable if R0>1. Numerical simulations are also conducted in the analytic results

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