Capítulo de Libro
Some aspects concerning the dynamics of stochastic chemostats
Autor/es | Caraballo Garrido, Tomás
Garrido Atienza, María José López de la Cruz, Javier |
Coordinador/Director | Sadovnichiy, Victor A.
Zgurovsky, Mikhail Z. |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2016 |
Fecha de depósito | 2017-04-27 |
Publicado en |
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ISBN/ISSN | 9783319406725 9783319406732 |
Resumen | In this paper we study a simple chemostat model influenced by white
noise which makes this kind of models more realistic. We use the theory of random attractors and, to that end, we first perform a change of variable using ... In this paper we study a simple chemostat model influenced by white noise which makes this kind of models more realistic. We use the theory of random attractors and, to that end, we first perform a change of variable using the OrnsteinUhlenbeck process, transforming our stochastic model into a system of differential equations with random coefficients. After proving that this random system possesses a unique solution for any initial value, we analyze the existence of random attractors. Finally we illustrate our results with some numerical simulations. |
Identificador del proyecto | info:eu-repo/grantAgreement/MINECO/MTM2015-63723-P
P12-FQM-1492 |
Cita | Caraballo Garrido, T., Garrido Atienza, M.J., y López de la Cruz, J. (2016). Some aspects concerning the dynamics of stochastic chemostats. En M.Z. Zgurovsky, V.A. Sadovnichiy (Ed.), Advances in Dynamical Systems and Control (pp. 227-246). Springer |
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