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Dynamical behaviors of the stochastic multimolecule oscillatory reaction model with Poisson jumps

Dynamical behaviors of the stochastic multimolecule oscillatory reaction model with Poisson jumps

This paper reveals long time dynamics in the stochastic multimolecule oscillatory reaction model with Poisson jumps. First, this system is proved to have a unique global positive solution via the Lyapunov technique. Second, the existence and uniqueness of general random attractors for its stochastic homeomorphism flow is proved by the …