Open AccessUniform attractors of stochastic three-component Gray-Scott system with multiplicative noise
Author(s) -
Junwei Feng,
Hui Liu,
Jie Xin
Publication year - 2021
Publication title -
mathematical foundations of computing
Language(s) - English
Resource type - Journals
ISSN - 2577-8838
DOI - 10.3934/mfc.2021012
Subject(s) - multiplicative noise , attractor , multiplicative function , bounded function , gray (unit) , component (thermodynamics) , mathematics , noise (video) , stochastic process , domain (mathematical analysis) , statistical physics , computer science , mathematical analysis , statistics , artificial intelligence , physics , telecommunications , medicine , signal transfer function , transmission (telecommunications) , analog signal , image (mathematics) , radiology , thermodynamics
In a bounded domain, we study the long time behavior of solutions of the stochastic three-component Gray-Scott system with multiplicative noise. We first show that the stochastic three-component Gray-Scott system can generate a non-autonomous random dynamical system. Then we establish some uniform estimates of solutions for stochastic three-component Gray-Scott system with multiplicative noise. Finally, the existence of uniform and cocycle attractors is proved.