Colombeau solutions of a nonlinear stochastic predator--prey equation

Authors: ULUĞ ÇAPAR

Abstract: 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 reflected Brownian motions.

Keywords: Stochastic nonlinear predator--prey equation, generalized solutions, random Colombeau distributions

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