@article{Wei2022, 
author = {Yongchang Wei and Zongbin Yin},
title = {Long-time dynamics of a stochastic multimolecule oscillatory reaction model with Poisson jumps},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {2},
pages = {2956-2972},
keywords = {multimolecule oscillatory reaction model, random attractors, uniqueness, singleton sets},
url = {https://www.sciopen.com/article/10.3934/math.2022163},
doi = {10.3934/math.2022163},
abstract = {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.}
}