Hopf bifurcations of a variable yield chemostat model with inhibitory exponential substrate uptake

Guifang Fu and Wanbiao Ma

Chaos, Solitons & Fractals, 2006, vol. 30, issue 4, 845-850

Abstract: In this paper, we consider a simple chemostat model involving a single species feeding on redundant substrate with a variable 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. The existence of periodic solutions when certain parameters of the model assuming a specific ratio is shown.

Date: 2006
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:30:y:2006:i:4:p:845-850

DOI: 10.1016/j.chaos.2005.05.056

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