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
Global dynamics of a chemostat competition model with distributed delay
โ Scribed by Gail S. K. Wolkowicz; Huaxing Xia; Jianhong Wu
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 264 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0303-6812
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A chemostat model of a single species feeding on a limiting nutrient supplied at a constant rate is proposed. The model incorporates a general nutrient uptake function and a distributed delay. The delay indicates that the growth of the species depends on the past concentration of nutrient. Using the
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
Two models for competition of two populations in a chemostat environment with nutrient recycling are considered. In the first model, the recycling is instantaneous, whereas in the second, the recycling is delayed. For each model an equilibrium analysis is carried out, and persistence criteria are ob