Long-time dynamics of a stochastic multimolecule oscillatory reaction model with Poisson jumps | Zendy

Yongchang Wei | Zendy; Zongbin Yin | Zendy

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Long-time dynamics of a stochastic multimolecule oscillatory reaction model with Poisson jumps

Author(s) -

Yongchang Wei,

Zongbin Yin

Publication year - 2021

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 15

ISSN - 2473-6988

DOI - 10.3934/math.2022163

Subject(s) - attractor , uniqueness , mathematics , poisson distribution , flow (mathematics) , lyapunov exponent , statistical physics , mathematical analysis , chaotic , physics , computer science , statistics , geometry , artificial intelligence

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.

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