Article
Modeling and analysis of random and stochastic input flows in the chemostat model
Author/s | Caraballo Garrido, Tomás
Garrido Atienza, María José López de la Cruz, Javier |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2019-08 |
Deposit Date | 2020-02-03 |
Published in |
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Abstract | In this paper we study a new way to model noisy input flows in the chemostat model, based on the Ornstein-Uhlenbeck process. We introduce a parameter β as drift in the Langevin equation, that allows to bridge a gap between ... In this paper we study a new way to model noisy input flows in the chemostat model, based on the Ornstein-Uhlenbeck process. We introduce a parameter β as drift in the Langevin equation, that allows to bridge a gap between a pure Wiener process, which is a common way to model random disturbances, and no noise at all. The value of the parameter β is related to the amplitude of the deviations observed on the realizations. We show that this modeling approach is well suited to represent noise on an input variable that has to take non-negative values for almost any time. |
Project ID. | MTM2015-63723-P
P12-FQM-1492 |
Citation | Caraballo Garrido, T., Garrido Atienza, M.J. y López de la Cruz, J. (2019). Modeling and analysis of random and stochastic input flows in the chemostat model. Discrete and Continuous Dynamical Systems - Series B, 24 (8), 3591-3614. |
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