### Mathematical Biosciences and Engineering

2019, Issue 5: 3561-3622. doi: 10.3934/mbe.2019179
Research article Special Issues

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

• Received: 21 February 2019 Accepted: 14 April 2019 Published: 22 April 2019
• 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 $R_{0}$ is obtained. The occurrence of backward and forward bifurcation for a certain defined range of $R_{0}$ 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.

Citation: Hai-Feng Huo, Shuang-Lin Jing, Xun-Yang Wang, Hong Xiang. Modelling and analysis of an alcoholism model with treatment and effect of Twitter[J]. Mathematical Biosciences and Engineering, 2019, 16(5): 3561-3622. doi: 10.3934/mbe.2019179

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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 $R_{0}$ is obtained. The occurrence of backward and forward bifurcation for a certain defined range of $R_{0}$ 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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