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For a class of the stochastic multi-component reaction-diffusion systems with additive colored noises, which serves as mathematical models of many chemical and biochemical autocatalytic reactions on 2D and 3D bounded domains with Dirichlet or Neumann boundary conditions, the longtime and asymptotic dynamics of the solutions are investigated. It is proved that for the cubic autocatalysis there exists a random attractor in the L^2 phase space and with the H^1 attracting regularity. Moreover, the robustness is shown that when the strength coefficients of additive noises tend to zero the random attractors converge to the deterministic global attractor in terms of Hausdorff distance. |
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