Analysis of a delayed Monod type chemostat model with impulsive input the polluted nutrient

In this paper, a Monod type chemostat model with delayed response in growth and impulsive input the polluted nutrient is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally attractive. The...

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Bibliographic Details
Published in:Applied mathematics and computation 2010-11, Vol.217 (6), p.2320-2326
Main Author: Cai, Shaohong
Format: Article
Language:English
Subjects:
Chemostat model
Computation
Delay
Delayed response in growth
Differential equations
Dynamical systems
Dynamics
Exact sciences and technology
Extinction
Global analysis, analysis on manifolds
Impulsive input the polluted nutrient
Mathematical analysis
Mathematical models
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Nutrients
Ordinary differential equations
Permanence
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Summary:In this paper, a Monod type chemostat model with delayed response in growth and impulsive input the polluted nutrient is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is globally attractive. The permanent condition of the investigated system is also obtained by the theory of impulsive delay differential equation. Our results reveal that the delayed response in growth plays an important role on the outcome of the chemostat.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2010.07.030