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From susceptibility to frailty in social networks: The case of obesity
Authors:Jacques Demongeot  Mariem Jelassi  Carla Taramasco
Institution:1. Université Joseph Fourier, Grenoble, Ageis, La Tronche, France, and Escuela de ingeniería civil en informática, Universidad de Valparaíso, Chile;2. Université Joseph Fourier, Grenoble, Ageis, La Tronche, France, and Université Tunis el Manar, Institut Pasteur de Tunis, Tunisie;3. Escuela de ingeniería civil en informática, Universidad de Valparaíso, Chile
Abstract:The obesity pandemic is represented by a discrete-time Hopfield Boolean network embedded in continuous-time population dynamics. The influence of the social environment passes through a system of differential equations, whereby obesity spreads by imitation of the most influential neighbors, those who have the highest centrality indices in the network. This property is called “homophily.” Susceptibility and frailty are redefined using network properties. Projections of the spread of obesity are validated on data collected in a French high school.
Keywords:social networks  obesity pandemic spread modeling  frailty modeling  public health policy against obesity
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