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

AIMS Mathematics

Yongchang Wei¹  Zongbin Yin² 

[1] 1. School of Information and Mathematics, Yangtze University, Jingzhou 434023, China;2. School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou 510665, China;

关键词: multimolecule oscillatory reaction model;    random attractors;    uniqueness;    singleton sets;   

DOI  :  10.3934/math.2022163

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown