The buffered chemostat with non-monotonic response functions

2012/12/18 by Alain Rapaport, Rapaport, Alain, Ihab Haidar +3
Medicine · Environmental Science · Biochemistry, Genetics and Molecular Biology · #Mathematical and Theoretical Epidemiology and Ecology Models #Ecosystem dynamics and resilience #Evolution and Genetic Dynamics

paper · pdf · doi:10.48550/arxiv.1212.4252

Abstract

We study how a particular spatial structure with a buffer impacts the number of equilibria and their stability in the chemostat model. We show that the occurrence of a buffer can allow a species to persist or on the opposite to go extinct, depending on the characteristics of the buffer. For non-monotonic response functions, we characterize the buffered configurations that make the chemostat dynamics globally asymptotically stable, while this is not possible with single, serial or parallel vessels of the same total volume and input flow. These results are illustrated with the Haldane kinetic function.

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