  We extend earlier work by introducing an Einstein-Maxwell-dilaton (EMD)
action with two quark flavours. We solve the corresponding equations of motion
in the quenched approximation (probe quark flavours) via the potential
reconstruction method in presence of a background magnetic field in search for
a self-consistent dual magnetic AdS/QCD model. As an application we discuss the
deconfinement transition temperature confirming inverse magnetic catalysis,
whilst for moderate values of the magnetic field also the entropy density
compares relatively well with corresponding lattice data in the vicinity of the
transition.
