  The Schwinger pairs production rate is calculated numerically in the
soft-wall model with the help of a simpler method in determining the
soft-wall's position beyond which probe strings connecting the Schwinger pairs
do not fall into. Behaviours of the production rate in both the upper critical
region and the middle linear part are studied carefully. The latter exhibits
interesting new features un-noted previously. All results are presented in
comparisons with hard-wall models.
