Delayed feedback control for a chemostat model

Mathematical Biosciences

Volumn 201, Issue 1-2, 2006, Pages 101-112

  Tagashira, Osamu ^a   Hara, Tadayuki ^b  

^a Torikai Senior High School of Osaka Prefecture   (Japan)

^b Osaka City University   (Japan)

Author keywords

Chemostat model; Feedback control; Stability switch; Time delay

Indexed keywords

ASYMPTOTIC STABILITY; CHEMOSTATS; CONCENTRATION (PROCESS); DELAY CIRCUITS; MATHEMATICAL MODELS;

CHEMOSTAT MODEL; EQUILIBRIUM POINT; STABILITY SWITCH;

FEEDBACK CONTROL;

CHEMOSTAT; COEXISTENCE; FEEDBACK MECHANISM;

ARTICLE; CHEMOSTAT; DILUTION; EQUILIBRIUM CONSTANT; FEEDBACK SYSTEM; MATHEMATICAL MODEL; NUTRIENT CONCENTRATION; QUANTITATIVE STUDY; SYMPTOMATOLOGY;

BACTERIA; BIOREACTORS; COMPUTER SIMULATION; FEEDBACK, BIOCHEMICAL; MODELS, BIOLOGICAL; TIME FACTORS;

EID: 33646855094     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2005.12.014     Document Type: Article

References (4)

1. De Leenher P., and Smith H.L. Feedback control for chemostat models. J. Math. Biol. 46 (2003) 48
2. Smith H.L., and Waltman P. The Theory of the Chemostat (1995), Cambridge University, Cambridge
3. Hale J.K., and Verduyn Lunel S.M. Introduction to Functional Differential Equations (1993), Springer, New York
4. Kuang Y. Delay Differential Equations with Applications in Population Dynamics (1993), Academic Press, San Diego