title: Complex dynamics in an alcoholism model with the impact of Twitter.
abstract: A novel alcoholism model which involves impact of Twitter is formulated. It is shown that the model has multiple equilibria. Stability of all the equilibria are obtained in terms of the basic reproductive number R0. Using the center manifold theory, the occurrence of backward and forward bifurcation for a certain defined range of R0are established. Furthermore, the existence of Hopf bifurcation is also established by regarding the transmission coefficient β as the bifurcation parameter. Numerical simulations and sensitivity analysis on a few parameters are also carried out. Our results show that Twitter can serve as a good indicator of alcoholism model and affect the spread of the drinking.
authors: Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, People's Republic of China. Electronic address: hfhuo@lut.cn.
authors: Hai-Feng
authors: HF
authors: Huo
authors: Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, People's Republic of China.
authors: Xiang-Ming
authors: XM
authors: Zhang
mesh_terms: D000437:Alcoholism; D006801:Humans; D008962:Models, Theoretical; D061108:Social Media
keywords: Backward and forward bifurcation; Basic reproduction number; Hopf bifurcation; Stability; Twitter