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

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

doi:10.3934/mbe.2019179

Mathematical Biosciences and Engineering

2019, Volume 16, Issue 5: 3561-3622. doi: 10.3934/mbe.2019179

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Research article Special Issues

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

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

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.
- Twitter,
- treatment,
- stability,
- backward,
- forward bifurcation
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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Abstract

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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