Modelling the influence of awareness programs by media on the drinking dynamics. (English) Zbl 1474.91129

Huo, Hai-Feng; Wang, Qian

Abstr. Appl. Anal. 2014, Article ID 938080, 8 p. (2014).

Summary: We develop a nonlinear mathematical model with the effect of awareness programs on the binge drinking. Due to the fact that awareness programs are capable of inducing behavioral changes in nondrinkers, we introduce a separate class by avoiding contacts with the heavy drinkers. Furthermore we assume that cumulative density of awareness programs increases at a rate proportional to the number of heavy drinkers. We establish some sufficient conditions for the stability of the alcohol free and the alcohol present equilibria and give some numerical simulations to explain our main result. Our results show that awareness programs is an effective measure in reducing alcohol problems.

MSC:

91D10	Models of societies, social and urban evolution
34C60	Qualitative investigation and simulation of ordinary differential equation models

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