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Modelling drinking with information.

Giacobbe, Andrea and Mulone, Giuseppe and Straughan, Brian and Wang, Wendi (2017) 'Modelling drinking with information.', Mathematical methods in the applied sciences., 40 (12). pp. 4400-4411.

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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1002/mma.4312
Publisher 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.
Date accepted:12 December 2016
Date deposited:20 March 2018
Date of first online publication:26 January 2017
Date first made open access:20 March 2018

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