Modeling the evolution of drinking behavior: A Statistical Physics perspective

Abstract

In this work we study a simple compartmental model for drinking behavior evolution. The population is divided in 3 compartments regarding their alcohol consumption, namely Susceptible individuals $S$ (nonconsumers), Moderate drinkers $M$ and Risk drinkers $R$. The transitions among those states are ruled by probabilities. Despite the simplicity of the model, we observed the occurrence of two distinct nonequilibrium phase transitions to absorbing states. One of these states is composed only by Susceptible individuals $S$, with no drinkers ($M=R=0$). On the other hand, the other absorbing state is composed only by Risk drinkers $R$ ($S=M=0$). Between these two steady states, we have the coexistence of the three subpopulations $S$, $M$ and $R$. Comparison with abusive alcohol consumption data for Brazil shows a good agreement between the model's results and the database.

arXiv comment20 pages, 4 figures, to appear in Physica A

References in corpus (11)

• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• The role of inflexible minorities in the breaking of democratic opinion dynamics
• Modeling Radicalization Phenomena in Heterogeneous Populations
• Encouraging moderation: Clues from a simple model of ideological conflict
• Inflexibility and independence: Phase transitions in the majority-rule model
• From Public Outrage to the Burst of Public Violence: An Epidemic-Like Model
• Symmetry breaking by heating in a continuous opinion model
• Competition among reputations in the 2D Sznajd model: Spontaneous emergence of democratic states
• Dynamics of tax evasion through an epidemic-like model
• Critical behavior of the SIS epidemic model with time-dependent infection rate
• Survival of the Scarcer in Space

Cited by in corpus (4)

• Radicalization phenomena: Phase transitions, extinction processes and control of violent activities
• Role of inflexible minorities in the evolution of alcohol consumption
• Recent violent political extremist events in Brazil and epidemic modeling: The role of a SIS-like model on the understanding of spreading and control of radicalism
• A mathematical model for the bullying dynamics in schools