General nonlinear stochastic systems motivated by chemostat models: Complete characterization of long-time behavior, optimal controls, and applications to wastewater treatment

• Published in: Stochastic processes and their applications Vol. 130; no. 8; pp. 4608 - 4642
• Main Authors: Nguyen, Dang H., Nguyen, Nhu N., Yin, George
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.08.2020
• Subjects: Chemostat model; Ergodicity; Switching diffusion; Wastewater treatment; Switching diffusion; Ergodicity; Wastewater treatment; Chemostat model

This paper focuses on a general class of systems of nonlinear stochastic differential equations, inspired by stochastic chemostat models. In the first part, the system is formulated as a hybrid switching diffusion. A complete characterization of the asymptotic behavior of the system under considerat...