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Modelling drinking with information

Giacobbe, Andrea; Mulone, Giuseppe; Straughan, Brian; Wang, Wendi

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Andrea Giacobbe

Giuseppe Mulone

Brian Straughan

Wendi Wang


In this article, we propose a mathematical model that describes the dynamics of a population divided into susceptible drinkers, moderate drinkers, and heavy drinkers subject to an external influence. The external influence is modelled using a supplementary dynamical variable that is not a group of individuals but that enters the equations affecting the choices of the population classes. The system we define can be investigated using two simplified systems (one of which is a real subsystem), which model the populations of susceptible and moderate drinkers or susceptible and heavy drinkers independently. The dynamics of these two subsystems can be described exhaustively. The full system is too rich in possible scenarios, but its qualitative behaviour is connected to that of the two simplified systems. We make a complete description only in one particular case by means of numerical simulations.


Giacobbe, A., Mulone, G., Straughan, B., & Wang, W. (2017). Modelling drinking with information. Mathematical Methods in the Applied Sciences, 40(12), 4400-4411.

Journal Article Type Article
Acceptance Date Dec 12, 2016
Online Publication Date Jan 26, 2017
Publication Date Jan 26, 2017
Deposit Date Mar 20, 2018
Publicly Available Date Mar 20, 2018
Journal Mathematical Methods in the Applied Sciences
Print ISSN 0170-4214
Electronic ISSN 1099-1476
Publisher Wiley
Peer Reviewed Peer Reviewed
Volume 40
Issue 12
Pages 4400-4411


Accepted Journal Article (892 Kb)

Copyright Statement
This is the accepted version of the following article: Giacobbe, Andrea, Mulone, Giuseppe, Straughan, Brian & Wang, Wendi (2017). Modelling drinking with information. Mathematical Methods in the Applied Sciences 40(12): 4400-4411 which has been published in final form at This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.

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