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Zbl 1015.92046
De Leenheer, Patrick; Smith, Hal
Feedback control for chemostat models. (English)
[J] J. Math. Biol. 46, No.1, 48-70 (2003). ISSN 0303-6812; ISSN 1432-1416/e

Summary: It is shown that a chemostat with two organisms can be made coexistent by means of feedback control of the dilution rate. Remaining freedom in the feedback law can be used to guarantee robustness or improve particular performance indices. Unfortunately, a topological property prevents coexistence by feedback control for chemostats with more than two organisms. We apply our results to control bioreactors aimed at producing commercial products through genetically altered organisms. In all our results the coexistence takes its simplest form: a global asymptotically stable equilibrium point in the interior of the non-negative orthant.

MSC 2000:: *92D40 Ecology
93B52 Feedback control
93C95 Appl. of control theory
92C40 Biochemistry, etc.
34D23 Global stability

Keywords: dilution rate; permanence

Cited in: Zbl 1162.34334 Zbl 1093.92058 Zbl 1074.93021

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