Chemostat models with Monod and Haldane consumption functions and random environmental fluctuations
In this paper, we study the asymptotic dynamics of two chemostat models withrandom environmental fluctuations modeled by means of real noise, wheredifferent consumption functions for the consumer species (Monod and Haldane)are taking into account. For each model, our main goal is to investigate thee...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/174889 |
| Acceso en línea: | https://hdl.handle.net/11441/174889 https://doi.org/10.1002/mma.9061 |
| Access Level: | acceso abierto |
| Palabra clave: | chemostat Haldane Monod Ornstein–Uhlenbeck process real noise |
| Sumario: | In this paper, we study the asymptotic dynamics of two chemostat models withrandom environmental fluctuations modeled by means of real noise, wheredifferent consumption functions for the consumer species (Monod and Haldane)are taking into account. For each model, our main goal is to investigate theexistence of deterministic attracting sets. This allows us to provide conditionsunder which the species become extinct or persist, which is the main goalin industrial setup. In addition, we depict different numerical simulations tosupport the theoretical results. Finally, we present some conclusions to sumup our contribution and we compare how the species behave depending on itsconsumption function. |
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