The combined effect of several noises has been proposed recently. It h
as displayed that the presence of the correlation between noises can c
hange the properties of the stochastic processes. In this paper, a gen
eral effective Fokker-Planck equation (FPE) with correlated noises is
derived. The stationary distributions and the moments of two kinetic m
odels under two correlated noise sources are obtained. The effects of
the interference of additive and multiplicative noises are analyzed.