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Volume 8, Number 5, 2018, Pages 1535-1554                                                                DOI:10.11948/2018.1535
Analysis of the binge drinking models with demographics and nonlinear infectivity on networks
Hong Xiang, Yanyan Wang and Haifeng Huo
Keywords:Binge drinking, demographics, stability, nonlinear infectivity, weight networks.
      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 all the equilibria are derived. Second, the model with the nonlinear infectivity $\varphi(k)=k^a(0
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