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Dynamics of some stochastic chemostat models with multiplicative noise

 

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Opened Access Dynamics of some stochastic chemostat models with multiplicative noise
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Author: Caraballo Garrido, Tomás
Garrido Atienza, María José
López de la Cruz, Javier
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2017-08
Published in: Communications on Pure and Applied Analysis, 16 (5), 1893-1914.
Document type: Article
Abstract: In this paper we study two stochastic chemostat models, with and without wall growth, driven by a white noise. Specifically, we analyze the existence and uniqueness of solutions for these models, as well as the existence of the random attractor associated to the random dynamical system generated by the solution. The analysis will be carried out by means of the well-known Ornstein-Uhlenbeck process, that allows us to transform our stochastic chemostat models into random ones.
Cite: Caraballo Garrido, T., Garrido Atienza, M.J. y López de la Cruz, J. (2017). Dynamics of some stochastic chemostat models with multiplicative noise. Communications on Pure and Applied Analysis, 16 (5), 1893-1914.
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Format: PDF

URI: http://hdl.handle.net/11441/64144

DOI: 10.3934/cpaa.2017092

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