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 A binge drinking model with two stages structure and random perturbation(PDF)

《纺织高校基础科学学报》[ISSN:1006-6977/CN:61-1281/TN]

Issue:
2017年02期
Page:
171-176
Research Field:
Publishing date:

Info

Title:
 A binge drinking model with two stages structure and random perturbation
Author(s):
SONG Nana1GE Yang2
 1.College of Mobile Telecommunications,Chongqing University of Posts and Telecom,Chongqing 410520,China;
2.Pass College of Chongqing Technology and Business University,Chongqing 410520,China
Keywords:
stages structures stochastic binge drinking model stochastic stability
PACS:
O 175.13
DOI:
10.13338/j.issn.1006-8341.2017.02.003
Abstract:
A binge drinking model with two stages and random perturbation is introduced. The random fluctuation around the alcohol-present equilibrium of deterministic binge drinking model is studied. The stochastic asymptotical stability of the alcohol-present equilibrium is proved by constructing Lyapunov function and applying Ito’s formula. If the deterministic basic production number R0>01, there is a stationary distribution, which means that the binge drinking will prevail. In addition, it is noted that transmission coefficient, the natural death rate and the relapse rate play a crucial role for the stochastic asymptotical stability of the model.

References:

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Last Update: 2017-07-22