  We investigate the influence of a brane on the vacuum expectation value (VEV)
of the current density for a charged fermionic field in background of locally
AdS spacetime with an arbitrary number of toroidally compact dimensions and in
the presence of a constant gauge field. Along compact dimensions the field
operator obeys quasiperiodicity conditions with arbitrary phases and on the
brane it is constrained by the bag boundary condition. The VEVs for the charge
density and the components of the current density along uncompact dimensions
vanish. The components along compact dimensions are decomposed into the
brane-free and brane-induced contributions. The behavior of the latter in
various asymptotic regions of the parameters is investigated. It particular, it
is shown that the brane-induced contribution is mainly located near the brane
and vanishes on the AdS boundary and on the horizon. An important feature is
the finiteness of the current density on the brane. Applications are given to
$Z_2$-symmetric braneworlds of the Randall-Sundrum type with compact dimensions
for two classes of boundary conditions on the fermionic field. In the special
case of three-dimensional spacetime, the corresponding results are applied for
the investigation of the edge effects on the ground state current density
induced in curved graphene tubes by an enclosed magnetic flux.
