Pullback attractors to analyze the effect of random and stochastic disturbances in the chemostat model

Description

In this talk, some random and stochastic disturbances in the chemostat model will be analyzed by making use of the modern techniques concerning the theory of random dynamical systems. Particularly, the existence and uniqueness of global solution will be stated and the existence and uniqueness of pullback random attractor will be also proved. Thanks to a deeper analysis involving the internal structure of the pullback random attractor, we will be able to provide conditions to ensure the persistence of the microbial biomass, which is also the main goal pursued by biologists. Finally, several simulations will be shown to support the results proved throughout the talk and help us to decide which kind of noise is more appropriated to model the real chemostats.

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