  Errors of approximations of the quasi-stationary distribution (the QSD) of
the logistic SIS model are evaluated numerically. The results are used to
derive asymptotic approximations of the approximation errors for large
populations. We show in particular that there are two approximations above
threshold for which the approximation errors are exponentially small. One of
these approximations has been known for some time, while the other one is new.
The result that the older one of these two approximations has an exponentially
small approximation error is new.
