Some aspects concerning the dynamics of stochastic chemostats

Description

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.

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Fondo Europeo de Desarrollo Regional

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Ministerio de Economía y Competitividad

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Junta de Andalucía

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