  We construct a probabilistic representation of a system of fully coupled
parabolic equations arising as a model describing spatial segregation of
interacting population species. We derive a closed system of stochastic
equations such that its solution allows to obtain a probabilistic
representation of a weak solution of the Cauchy problem for the PDE system. The
corresponded stochastic system is presented in the form of a system of
stochastic equations describing nonlinear Markov processes and their
multiplicative functionals.
