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Mathematical modelling of social obesity epidemic in the region of Valencia,Spain
Authors:F-J Santonja  R-J Villanueva  L Jódar  G Gonzalez-Parra
Institution:1. Departamento de Estadística e Investigación Operativa , Universidad de Valencia , Valencia, Espa?a francisco.santonja@uv.es;3. Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia , Valencia, Espa?a;4. Departamento de Cálculo , Universidad de los Andes , Mérida, Venezuela
Abstract:In this article, we analyse the incidence of excess weight in 24- to 65-year-old residents in the region of Valencia, Spain, and predict its behaviour in the coming years. In addition, we present some possible strategies to prevent the spread of the obesity epidemic.

We use classical logistic regression analysis to find out that a sedentary lifestyle and unhealthy nutritional habits are the most important causes of obesity in the 24- to 65-year-old population in Valencia. We propose a new mathematical model of epidemiological type to predict the incidence of excess weight in this population in the coming years. Based on the mathematical model sensitivity analysis, some possible general strategies to reverse the increasing trend of obesity are suggested.

The obese population in the region of Valencia is increasing (11.6% in 2000 and 13.48% in 2005) and the future is worrisome. Our model predicts that 15.52% of the population in Valencia will be obese by 2011. Model sensitivity analysis suggests that obesity prevention strategies (healthy advertising campaigns) are more effective than obesity treatment strategies (physical activity) involving the obese and overweight subpopulation in controlling the increase of adulthood obesity in the region of Valencia.
Keywords:preventing adulthood obesity  mathematical modelling  differential equations  dynamical system  mathematical simulation
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