Analysis of some stochastic chemostat models by means of random dynamical systems
Résumé
Chemostat refers to a laboratory device used for growing microorganisms in a cultured environment and has been regarded as an idealization of nature to study competition modeling in mathematical biology. The simplest chemostat model assumes that the availability of nutrient and its supply rate are both fixed and the tendency of microorganisms to adhere to surfaces is usually neglected by assuming that the flow rate is fast enough. Nevertheless, the previous assumptions largely limit the applicability of chemostat models to realistic competition systems. Due to this fact, stochastic models have become more and more popular between researchers since they can represent much more precisely the real ones.