Global asymptotic behavior of a chemostat model with delayed response in growth

摘要

This paper studies the global asymptotic behavior of solutions of a competition model between n species in the chemostat. The model incorporates time delays that allow the competing organisms to be stored the nutrient (so that the free nutrient concentration does not reflect the nutrient available for growth) and allow growth response functions to be nonmonotone. By introducing three auxiliary functions and using a lemma, it is shown that at most one competitor survives, and the substrate and the surviving competitor (if two exist) approach limiting values.