Abstract
AbstractIn this chapter, we develop a mathematical model for alcohol-related health risks incorporating fuzziness in uncertainties associated with individual risk behavior and induced death rate. In the study, fuzzy numbers (sets) are defined as the degree of peer influence of susceptible individuals into drinking. Using the next generation matrix operator (NGM), we derive the fuzzy reproduction number and characterize the existence of equilibrium states and their stability properties. The study reveals that perceived most influential individuals tend to increase the force of influence. The model has the potential to reveal inherent risk behaviors or cultural beliefs which are critical in the development of alcoholism management strategies.KeywordsFuzzy modelsHealth risksAlcoholismCultural beliefsFuzzy risk reproduction number
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