  Ageing in systems without detailed balance is studied in the exactly solvable
bosonic contact process and the critical bosonic pair-contact process. The
two-time correlation function and the two-time response function are explicitly
found. In the ageing regime, the dynamical scaling of these is analyzed and
exact results for the ageing exponents and the scaling functions are derived.
For the critical bosonic pair-contact process the autocorrelation and
autoresponse exponents agree but the ageing exponents $a$ and $b$ are shown to
be distinct.
