Author:
Feng Junwei,Liu Hui,Xin Jie
Abstract
<p style='text-indent:20px;'>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.</p>
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Artificial Intelligence,Computational Mathematics,Computational Theory and Mathematics,Theoretical Computer Science
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