Long-time dynamics of a stochastic multimolecule oscillatory reaction model with Poisson jumps
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<abstract><p>This paper reveals dynamical behaviors 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 comparison theorem, and meanwhile, a criterion for the existence of singleton sets is obtained. Finally, numerical simulations are used to illustrate the predicted random attractors.</p></abstract>
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2017 ◽
Vol 49
(4)
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pp. 2468-2495
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2009 ◽
Vol 79
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pp. 2367-2373
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1992 ◽
Vol 68
(11)
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pp. 1637-1640
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2021 ◽
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2019 ◽
Vol 234
(2)
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pp. 925-1006
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