  We study a family of Maxwell-Higgs models, described by the inclusion of a
function of the scalar field that represent generalized magnetic permeability.
We search for vortex configurations which obey first-order differential
equations that solve the equations of motion. We first deal with the asymptotic
behavior of the field configurations, and then implement a numerical study of
the solutions, the energy density and the magnetic field. We work with the
generalized permeability having distinct profiles, giving rise to new models,
and we investigate how the vortices behave, compared with the solutions of the
corresponding standard models. In particular, we show how to build compact
vortices, that is, vortex solutions with the energy density and magnetic field
vanishing outside a compact region of the plane.
