To illustrate the analytic results obtained above, we give some
simulations using the parameter values in Table 1. Numerical
results are displayed in the following figures. It is reported
that binge drinking occurs in up to 30 percent of adolescents
and alcohol use disorders occur in about 6 percent of this
age group; approximately 50 to 60 percent of them remain
abstinent at the end of a year’s treatment and a majority of
those stay dry permanently [29, 30]. So the initial condition is
taken as the lowest by