Artículo
Bounded random fluctuations on the input flow in chemostat models with wall growth and non-monotonic kinetics
Autor/es | Caraballo Garrido, Tomás
López de la Cruz, Javier |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2021-02-04 |
Fecha de depósito | 2021-03-19 |
Publicado en |
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Resumen | This paper investigates a chemostat model with wall growth and Haldane consumption kinetics. In addition, bounded random fluctuations on the input flow, which are modeled by means of the well-known Ornstein-Uhlenbeck ... This paper investigates a chemostat model with wall growth and Haldane consumption kinetics. In addition, bounded random fluctuations on the input flow, which are modeled by means of the well-known Ornstein-Uhlenbeck process, are considered to obtain a much more realistic model fitting in a better way the phenomena observed by practitioners in real devices. Once the existence and uniqueness of global positive solution has been proved, as well as the existence of deterministic absorbing and attracting sets, the random dynamics inside the attracting set is studied in detail to provide conditions under which persistence of species is ensured, the main goal pursued from the practical point of view. Finally, we support the theoretical results with several numerical simulations. |
Agencias financiadoras | Junta de Andalucía Ministerio de Ciencia, Innovación y Universidades (MICINN). España |
Identificador del proyecto | P12-FQM-1492
PGC2018-096540-B-I00 FEDER US-1254251 P18-FR-4509 |
Cita | Caraballo Garrido, T. y López de la Cruz, J. (2021). Bounded random fluctuations on the input flow in chemostat models with wall growth and non-monotonic kinetics. AIMS Mathematics, 6 (4), 4025-1-4052-28. |
Ficheros | Tamaño | Formato | Ver | Descripción |
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