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

fYear

2007

fDate

2-5 July 2007

Firstpage

5003

Lastpage

5007

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2007 European

Conference_Location

Kos

Print_ISBN

978-3-9524173-8-6

Type

conf

Filename

7069030

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2173903