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

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 $ R_0 $ 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

• networks
• differential equations
• spread of heavy drinking