  Recent multi-wavelength observations indicate that some starburst galaxies
show a dominant nonthermal contribution from its central region. These active
galactic nuclei (AGN)-starburst composites are of special interest, as both
phenomena on their own are potential sources of the high-energetic cosmic rays
and their accompanied gamma-ray and neutrino emission. Here, we will focus on
NGC 1068, which is known since several years from its atypical radio-gamma-ray
correlation. Recently this source has also shown strong indications of high
energy neutrino emission. A first semi-analytical, two-component
multi-messenger model is presented that already gives some constraints on the
AGN-starburst composite characteristics of NGC 1068 and exposes the need to
include both starburst \emph{and} AGN corona to describe the multi-messenger
data.
