  We study theoretically nonradiative and radiative energy transfer between two
localized quantum emitters, donor one (i.e. initially excited) and acceptor one
(i.e. receiving the excitation). The rates of nonradiative and radiative
processes are calculated depending on the spatial and spectral separation
between donor and acceptor states and for different donor and acceptor
lifetimes for typical parameters of semiconductor quantum dots. We find that
the donor lifetime can be significantly modified only due to the nonradiative
F\"orster energy transfer process at donor-acceptor separations $\sim 10~$nm
(depending on the acceptor radiative lifetime) and for the energy detuning not
larger than 1$\div$2 meV. The efficiency of the nonradiative F\"orster energy
transfer process under these conditions is close to unity and decreases rapidly
with the increase of donor-acceptor distance or energy detuning. At large
donor-acceptor separations $>40~$nm the radiative corrections to the donor
lifetime are comparable with nonradiative ones but are relatively weak.
