A drinking model with permanent quitting drinker compartment and relapse is derived.Mathematical analyses show that the model admits a drinking-free equilibrium and a drinking-present equilibrium.It is shown that the drinking-free equilibrium is globally asymptotically stable if R0 ＜ 1,the drinking-present equilibrium is globally asymptotically stable if R0 ＞ 1.Numerical simulations are also provided to illustrate our analytical results.
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