Global Stability for a Binge Drinking Model with Two Stages
By Hai-Feng Huo, Nana Song. 2012
54 citations recorded by the source corpus.
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.
Subfields: Epidemiology, Pathology and Forensic Medicine, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/242f3824697aa48eba764433e6064c2e4ee7937a
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In Public Health, Environmental and Occupational Health
Citations in the corpus
- Modelling Alcoholism as a Contagious Disease: A Mathematical Model with Awareness Programs and Time Delay (2015, background): “In particular, numerous mathematical models for alcohol problems have been formulated and studied recently [11–21].”