Random attractors for stochastic Oregonator systems driven by multiplicative noise

In this paper, we consider the long-time asymptotic behavior of a stochastic Oregonator system driven by multiplicative noise on a three-dimensional bounded domain. The system consists of three strongly coupled nonlinear parabolic equations subject to Stratonovich stochastic perturbations and Neumann boundary conditions. By applying the theory of random dynamical systems, we first establish the global existence of pullback weak solutions. We then construct a continuous random dynamical system associated with the stochastic Oregonator equations and prove the existence of bounded pullback absorbing sets in the phase space H=[L2(O)]3. Furthermore, the asymptotic compactness of the solution operator is obtained despite the presence of multiplicative noise acting on all components and quadratic nonlinear coupling terms. As a consequence, we prove the existence and uniqueness of a pullback random attractor for the stochastic Oregonator system. Our results extend the deterministic attractor theory for Oregonator systems to the stochastic setting with multiplicative noise.