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 Analysis of the binge drinking models with demographics and nonlinear infectivity on networks Keywords:Binge drinking; Demographics; Stability; Nonlinear infectivity; Weight networks Abstract: Two new binge drinking models incorporating demographics on different weighted networks are investigated. First, The dynamics of the drinking model with the linear infectivity $\varphi(k)=k$ on the unweighted network is investigated. The basic reproduction number $R_0$ and the uniqueness and stability of equilibria are derived. Second, the model with the nonlinear infectivity \$\varphi(k)=k^a(0