Global asymptotic behavior of a multi-species stochastic chemostat model with discrete delays

• Main Authors: Wang, Liang, Jiang, Daqing, Wolkowicz, Gail S. K.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2020
• Subjects: Science::Chemistry; Chemostat; Stochastic System
• Online Access: https://hdl.handle.net/10356/144320
• Institution: Nanyang Technological University

We consider a model of multi-species competition in the chemostat that includes demographic stochasticity and discrete delays. We prove that for any given initial data, there exists a unique global positive solution for the stochastic delayed system. By employing the method of stochastic Lyapunov fu...