- Turkish Journal of Mathematics
- Vol: 37 Issue: 6
- Colombeau solutions of a nonlinear stochastic predator--prey equation
Colombeau solutions of a nonlinear stochastic predator--prey equation
Authors : Uluğ Çapar
Pages : 1048-1060
Doi:10.3906/mat-1105-1
View : 9 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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