  The current paper is concerned with positive stationary solutions and spatial
spreading speeds of KPP type evolution equations with random or nonlocal or
discrete dispersal in locally spatially inhomogeneous media. It is shown that
such an equation has a unique globally stable positive stationary solution and
has a spreading speed in every direction. Moreover, it is shown that the
localized spatial inhomogeneity of the medium neither slows down nor speeds up
the spatial spreading in all the directions.
