Analytical and computational study of an individual-based network model for the spread of heavy drinking

J Biol Dyn. 2018 Dec;12(1):509-526. doi: 10.1080/17513758.2018.1475019.

Abstract

Two simple models for the spread of heavy drinking among a network of individuals are re-introduced and analysed. We provide theorems on the spread of alcohol abuse for these models in cases involving simple connection schemes. Indicators for this spread that resemble the [Formula: see text] used in disease assessment are suggested and studied. We further provide computations with our models on general application networks and begin to study the reliability of the spread indicators.

Keywords: 34C99; 92D25; Networks; differential equations; spread of heavy drinking.

Publication types

  • Research Support, Non-U.S. Gov't
  • Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

  • Alcohol Drinking / epidemiology*
  • Computer Simulation*
  • Humans
  • Models, Biological*