Chemostats with random inputs and wall growth (Q2793951)

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scientific article; zbMATH DE number 6557741
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Chemostats with random inputs and wall growth
scientific article; zbMATH DE number 6557741

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    Chemostats with random inputs and wall growth (English)
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    17 March 2016
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    chemostat
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    random input
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    wall growth
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    random dynamical system
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    random attractor
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    The authors consider the chemostat model with random inputs. They study the evolution of concentrations of the nutrient and microorganism when the input parameters are random, and the tendency of the microorganisms to attach on the wall is taken into account. The resulting system is a system of coupled random ordinary differential equations with randomly varying input parameters and generates a random dynamical systems. The authors prove existence of uniformly bounded non-negative solutions, the existence of random attractors and geometric details of random attractors for different values of parameters.
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