Abstract
In this paper, we consider a simple chemostat model involving a single species feeding on redundant substrate with a constant yield term. Many experiments indicate that very high substrate concentrations actually inhibit growth. Instead of assuming the prevalent Monod kinetics for growth rate of cells, we use a non-monotonic functional response function to describe the inhibitory effect. A detailed qualitative analysis about the local and global stability of its equilibria (including all critical cases) is carried out. Numerical simulations are performed to show that the dynamical properties depend intimately upon the parameters.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 873-886 |
| Number of pages | 14 |
| Journal | Chaos, Solitons and Fractals |
| Volume | 23 |
| Issue number | 3 |
| DOIs | |
| State | Published - Feb 2005 |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
Cite this
Qualitative analysis of a chemostat model with inhibitory exponential substrate uptake. / Fu, Guifang; Ma, Wanbiao; Ruan, Shigui.
In: Chaos, Solitons and Fractals, Vol. 23, No. 3, 02.2005, p. 873-886.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Qualitative analysis of a chemostat model with inhibitory exponential substrate uptake
AU - Fu, Guifang
AU - Ma, Wanbiao
AU - Ruan, Shigui
PY - 2005/2
Y1 - 2005/2
N2 - In this paper, we consider a simple chemostat model involving a single species feeding on redundant substrate with a constant yield term. Many experiments indicate that very high substrate concentrations actually inhibit growth. Instead of assuming the prevalent Monod kinetics for growth rate of cells, we use a non-monotonic functional response function to describe the inhibitory effect. A detailed qualitative analysis about the local and global stability of its equilibria (including all critical cases) is carried out. Numerical simulations are performed to show that the dynamical properties depend intimately upon the parameters.
AB - In this paper, we consider a simple chemostat model involving a single species feeding on redundant substrate with a constant yield term. Many experiments indicate that very high substrate concentrations actually inhibit growth. Instead of assuming the prevalent Monod kinetics for growth rate of cells, we use a non-monotonic functional response function to describe the inhibitory effect. A detailed qualitative analysis about the local and global stability of its equilibria (including all critical cases) is carried out. Numerical simulations are performed to show that the dynamical properties depend intimately upon the parameters.
UR - http://www.scopus.com/inward/record.url?scp=4644291301&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4644291301&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2004.05.049
DO - 10.1016/j.chaos.2004.05.049
M3 - Article
AN - SCOPUS:4644291301
VL - 23
SP - 873
EP - 886
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
SN - 0960-0779
IS - 3
ER -