Random Attractors for Stochastic Three-Component Reversible Gray-Scott System with Multiplicative White Noise

Random Attractors for Stochastic Three-Component Reversible Gray-Scott System with Multiplicative White Noise

Random Attractors for Stochastic Three-Component Reversible Gray-Scott System on Infinite Lattices

Upper semicontinuity of random attractors for stochastic three-component reversible Gray-Scott system

We consider the upper semicontinuity of the global random attractors for the stochastic three-component reversible Gray–Scott system on unbounded domains when the intensity of the noise converges to zero. 2013 Elsevier Inc. All rights reserved.

Random Attractors for Stochastic Lattice Reversible Gray-scott Systems with Additive Noise

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.

Stochastic algorithms for discontinuous multiplicative white noise.

Stochastic differential equations with multiplicative noise need a mathematical prescription due to different interpretations of the stochastic integral. This fact implies specific algorithms to perform numerical integrations or simulations of the stochastic trajectories. Moreover, if the multiplicative noise function is not continuous then the standard algorithms cannot be used. We present an ...