  Gravastar models have recently been proposed as an alternative to black
holes, mainly to avoid the problematic issues associated with event horizons
and singularities. In this work, a wide variety of gravastar models within the
context of nonlinear electrodynamics are constructed. Using the $F$
representation, specific forms of Lagrangians are considered describing
magnetic gravastars, which may be interpreted as self-gravitating magnetic
monopoles with charge $g$. Using the dual $P$ formulation of nonlinear
electrodynamics, electric gravastar models are constructed by considering
specific structural functions, and the characteristics and physical properties
of the solutions are further explored. These interior nonlinear electrodynamic
geometries are matched to an exterior Schwarzschild spacetime at a junction
interface.
