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Some aspects concerning the dynamics of stochastic chemostats

 

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Author: Caraballo Garrido, Tomás
Garrido Atienza, María José
López de la Cruz, Javier
Coordinator/Director: Sadovnichiy, Victor A.
Zgurovsky, Mikhail Z.
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2016
Published in: Advances in Dynamical Systems and Control
ISBN/ISSN: 9783319406725
9783319406732
Document type: Chapter of Book
Abstract: 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.
Cite: 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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Format: PDF

URI: http://hdl.handle.net/11441/58688

DOI: 10.1007/978-3-319-40673-2_11

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