Delayed feedback control for a chemostat model.
In this paper, we discuss asymptotic properties and numerical simulations of a chemostat model with delayed feedback control. A chemostat model with two organisms can be made coexistent by feedback control of the dilution rate which depends affinely on the concentrations of two organisms [P. De Leenher, H.L. Smith, Feedback control for chemostat models, J. Math. Biol. 46 (2003) 48]. Then the coexistence takes its simplest form; the equilibrium point in the non-negative orthant is globally asymptotically stable. We show that stability of the equilibrium point is changed by 'time-delay' caused in controlling the dilution rate after measuring the concentrations of two organisms.
Torikai Senior High School of Osaka Prefecture, Settsu 566-0062, Japan. YFA68812@nifty.com
Osamu
O
Tagashira
Tadayuki
T
Hara
D001419:Bacteria / Q000254:growth & development*; D019149:Bioreactors / Q000382:microbiology*; D003198:Computer Simulation; D025461:Feedback, Physiological; D008954:Models, Biological; D013997:Time Factors