Coexistence of three microbial populations engaged in pure and simple
competition is not possible in a chemostat with time-invariant operating
conditions under any circumstances. It is shown that by periodic variation
of the chemostat dilution rate it is possible to obtain a stable
coexistence state of all three populations in the chemostat. This
is accomplished by performing a numerical bifurcation analysis of
a mathematical model of the system and by determining its dynamic
behavior with respect to its operating parameters. The coexistence state
obtained in the periodically operated chemostat is usually periodic,
but cases of quasi-periodic and chaotic behavior are also observed.
%0 Journal Article
%1 Lenas1995
%A Lenas, P.
%A Pavlou, S.
%D 1995
%J Math Biosci
%K 7549217 Bacteria, Biological, Dynamics, Fungi, Mathematics, Microbiological Models, Nonlinear Techniques,
%N 2
%P 111-42
%T Coexistence of three competing microbial
populations in a chemostat with periodically varying dilution rate.
%V 129
%X Coexistence of three microbial populations engaged in pure and simple
competition is not possible in a chemostat with time-invariant operating
conditions under any circumstances. It is shown that by periodic variation
of the chemostat dilution rate it is possible to obtain a stable
coexistence state of all three populations in the chemostat. This
is accomplished by performing a numerical bifurcation analysis of
a mathematical model of the system and by determining its dynamic
behavior with respect to its operating parameters. The coexistence state
obtained in the periodically operated chemostat is usually periodic,
but cases of quasi-periodic and chaotic behavior are also observed.
@article{Lenas1995,
abstract = {Coexistence of three microbial populations engaged in pure and simple
competition is not possible in a chemostat with time-invariant operating
conditions under any circumstances. It is shown that by periodic variation
of the chemostat dilution rate it is possible to obtain a stable
coexistence state of all three populations in the chemostat. This
is accomplished by performing a numerical bifurcation analysis of
a mathematical model of the system and by determining its dynamic
behavior with respect to its operating parameters. The coexistence state
obtained in the periodically operated chemostat is usually periodic,
but cases of quasi-periodic and chaotic behavior are also observed.},
added-at = {2010-12-02T09:30:05.000+0100},
author = {Lenas, P. and Pavlou, S.},
biburl = {https://www.bibsonomy.org/bibtex/20deb36b596d3e4378f6f6368cfae85c3/afranz},
interhash = {ea48585cb44189b85e678dd430f087b6},
intrahash = {0deb36b596d3e4378f6f6368cfae85c3},
journal = {Math Biosci},
keywords = {7549217 Bacteria, Biological, Dynamics, Fungi, Mathematics, Microbiological Models, Nonlinear Techniques,},
month = Oct,
number = 2,
pages = {111-42},
pii = {0025556494000566},
timestamp = {2010-12-02T09:30:07.000+0100},
title = {Coexistence of three competing microbial
populations in a chemostat with periodically varying dilution rate.},
volume = 129,
year = 1995
}