Random attractors for stochastic lattice reversible Gray-Scott systems with additive noise

Abstract

In this article, we prove the existence of a random attractor of the stochastic three-component reversible Gray-Scott system on infinite lattice with additive noise. We use a transformation of addition involved with Ornstein-Uhlenbeck process, for proving the pullback absorbing property and the pullback asymptotic compactness of the reaction diffusion system with cubic nonlinearity.

Keywords

• Random attractor
• additive white noise
• stochastic reversible Gray-Scott system