Bifurcation and chaos for a mutating autocatalator in a CSTR

Authors
Citation
Ae. Abasaeed, Bifurcation and chaos for a mutating autocatalator in a CSTR, BIOPROC ENG, 22(4), 2000, pp. 337-346
Citations number
16
Categorie Soggetti
Biotecnology & Applied Microbiology
Journal title
BIOPROCESS ENGINEERING
ISSN journal
0178515X → ACNP
Volume
22
Issue
4
Year of publication
2000
Pages
337 - 346
Database
ISI
SICI code
0178-515X(200004)22:4<337:BACFAM>2.0.ZU;2-7
Abstract
In this paper, we develop a conceptual model for autocatalytic reactions in which the autocatalyst undergoes a mutation process in a completely stirre d tank reactor. Three cases with different mutation coefficient, a, and mut ation efficiency, beta, have been considered. The analysis of these cases s hows the importance of the two parameters and the complexity of the resulti ng bifurcation diagrams. Go-existence of a mushroom and an isola have been determined for the first case. The isola portion is a low main product yiel d solution and is to be avoided. A sub-region of 7 co-existing steady state s, with three stable static branches, has been determined for the second ca se. Chaos developing through period doubling and type 1 intermittency has b een shown to occur for a fourth case.