Title :
Dynamical analysis of a biochemical reactor distributed parameter model with time delay
Author :
Drame, A.K. ; Dochain, D. ; Winkin, J.J.
Author_Institution :
CESAME, Univ. Catholique de Louvain, Louvain-La-Neuve, Belgium
Abstract :
This paper studies a tubular biochemical reactor model with time delay. The dynamics are described by partial functional differential equations. We prove the well-posedness of this system and existence of multiple equilibria. Next, we show the existence of periodic solutions bifurcating from trivial equilibrium profile.
Keywords :
bioreactors; biochemical reactor distributed parameter model; dynamical analysis; multiple equilibria; partial functional differential equations; periodic solutions; time delay; trivial equilibrium profile; tubular biochemical reactor model; Biological system modeling; Delay effects; Delays; Differential equations; Equations; Inductors; Mathematical model;
Conference_Titel :
Control Conference (ECC), 2007 European
Conference_Location :
Kos
Print_ISBN :
978-3-9524173-8-6