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Competition in the chemostat: convergence of a model with delayed response in growth

✍ Scribed by Yuan Sanling; Han Maoan; Ma Zhien

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
128 KB
Volume
17
Category
Article
ISSN
0960-0779

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✦ Synopsis

The asymptotic behavior of solutions of a model for competition between n microorganisms in the chemostat is studied. The model incorporates time delays that allow for cellular components of each competing species to be structured to include unassimilated or nutrient and allow uptake functions to be nonmonotone. By using fluctuation lemma, it is shown that at most one competitor survives, and the substrate and the surviving competitor (if exists), approach limiting values. Our results indicate this kind delays do not influence the competitive outcome except for a critical case. Thus there is a competitive exclusion.

πŸ“œ SIMILAR VOLUMES

Global asymptotic behavior in chemostat-
Global asymptotic behavior in chemostat-type competition models with delay
✍ Sanling Yuan; Weiguo Zhang; Maoan Han πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 892 KB

The asymptotic behavior of solutions of a chemostat-type model in which two species compete for a limiting nutrient supplied at a constant rate is considered. The model incorporates a general nutrient uptake function and two distributed delays. The first delay models the fact that the nutrient is pa