Mathematical Biosciences and Engineering, 2019, 16(5): 3561-3622. doi: 10.3934/mbe.2019179

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Modelling and analysis of an alcoholism model with treatment and effect of Twitter

Hai-Feng Huo, Shuang-Lin Jing, Xun-Yang Wang, Hong Xiang

Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu, 730050, People’s Republic of China

Received: , Accepted: , Published:

Special Issues: Transmission dynamics in infectious diseases

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A new alcoholism model with treatment and effect of Twitter is introduced. The stability of all equilibria which is determined by the basic reproductive number R0 is obtained. The occurrence of backward and forward bifurcation for a certain defined range of R0 are established by the center manifold theory. Numerical results and sensitivity analysis on several parameters are conducted. Our results show that Twitter may be a good indicator of alcoholism model and affect the emergence and spread of drinking behavior.
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