Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1105-1
Keywords
Stochastic nonlinear predator--prey equation, generalized solutions, random Colombeau distributions
First Page
1048
Last Page
1060
Recommended Citation
ÇAPAR, U (2013). Colombeau solutions of a nonlinear stochastic predator--prey equation. Turkish Journal of Mathematics 37 (6): 1048-1060. https://doi.org/10.3906/mat-1105-1
