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

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 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.