Open AccessLong-time dynamics of a stochastic multimolecule oscillatory reaction model with Poisson jumps
Author(s) -
Yongchang Wei,
Zongbin Yin
Publication year - 2022
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.