Colombeau solutions of a nonlinear stochastic predator{prey equation

The solution of a random semilinear hyperbolic system with singular initial data is sought as a random Colombeau distribution. The product of 2 additive white noises is well tackled within the theory of random Colombeau distributions. In the special case of a random predator{prey system, the exact Colombeau solution is obtained under some assumptions when the process is driven by doubly reected Brownian motions.