Modelling drinking with information

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

doi:10.1002/mma.4312

Modelling drinking with information

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

Authors

Andrea Giacobbe

Giuseppe Mulone

Brian Straughan

Wendi Wang

Abstract

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.

Citation

Giacobbe, A., Mulone, G., Straughan, B., & Wang, W. (2017). Modelling drinking with information. Mathematical Methods in the Applied Sciences, 40(12), 4400-4411. https://doi.org/10.1002/mma.4312

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
DOI	https://doi.org/10.1002/mma.4312

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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 https://doi.org/10.1002/mma.4312. This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.