ASYMPTOTIC BEHAVIOR OF A STOCHASTIC DELAYED CHEMOSTAT MODEL WITH NUTRIENT STORAGE

作者：Sun, Shulin^*; Zhang, Xiaofeng

来源：Journal of Biological Systems, 2018, 26(2): 225-246.

DOI：10.1142/S0218339018500110

• Stochastic Chemostat Model
• Delay
• Ito Formula
• Lyapunov Functional
• Asymptotic Behavior

In this paper, a stochastic delayed chemostat model with nutrient storage is proposed and investigated. First, we state that there is a unique global positive solution for this stochastic system. Second, using the classical approach of Lyapunov function analysis, this stochastic delayed chemostat model is discussed in detail. We establish some sufficient conditions for the extinction of the microorganism, furthermore, we prove that the microorganism will become persistent in the mean in the chemostat under some conditions. Finally, the obtained results are illustrated by computer simulations, and simulation results reveal the effects of time delay on the persistence and extinction of the microorganism.

• 出版日期2018-6
• 单位山西师范大学