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The growth of competing microbial populations in a CSTR with periodically varying inputs
Author(s) -
Stephanopoulos Gregory,
Frederickson A. G.,
Aris Rutherford
Publication year - 1979
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.690250515
Subject(s) - chemostat , dilution , continuous stirred tank reactor , biomass (ecology) , growth rate , population , stability (learning theory) , substrate (aquarium) , bioreactor , floquet theory , control theory (sociology) , chemistry , mathematics , biological system , thermodynamics , biology , ecology , physics , computer science , artificial intelligence , bacteria , sociology , genetics , geometry , control (management) , machine learning , demography , quantum mechanics , organic chemistry , nonlinear system
The operation of a periodically forced chemostat (CSTR) in which two microbial populations compete for the same nutrient has been examined. Easily implemented criteria for the stability of the resulting cycles have been obtained, using the Floquet stability theory. After examining several possibilities it was found that stable periodic trajectories of coexistence can be achieved: (a) when the dilution rate of the chemostat is properly varied in a periodic manner between two values so chosen that the growth of one population is favored by the first and the growth of the other population is favored by the second, (b) when a certain percentage of biomass and growing medium is harvested periodically from the chemostat, and (c) when both the dilution rate and the concentration of the substrate in the feed are varied simultaneously and in a periodic manner.