The collision term has been deduced based on the effective Skyrme inte
ractions in addition to the mean field. The effective elastic nucleon-
nucleon cross sections are calculated for different densities, energie
s, and temperatures in nuclear matter. Because of the limitation due t
o zero-range forces used, the calculated result are expected to be lim
ited to nucleon energy E less-than-or-equal-to 120 MeV and nuclear tem
perature T less-than-or-equal-to 10 MeV.