Literature DB >> 7549217

Coexistence of three competing microbial populations in a chemostat with periodically varying dilution rate.

P Lenas1, S Pavlou.   

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.

Mesh:

Year:  1995        PMID: 7549217     DOI: 10.1016/0025-5564(94)00056-6

Source DB:  PubMed          Journal:  Math Biosci        ISSN: 0025-5564            Impact factor:   2.144


  3 in total

1.  Senescence and antibiotic resistance in an age-structured population model.

Authors:  Patrick De Leenheer; Jack Dockery; Tomás Gedeon; Sergei S Pilyugin
Journal:  J Math Biol       Date:  2009-11-12       Impact factor: 2.259

Review 2.  Co-culture systems and technologies: taking synthetic biology to the next level.

Authors:  Lisa Goers; Paul Freemont; Karen M Polizzi
Journal:  J R Soc Interface       Date:  2014-07-06       Impact factor: 4.118

3.  Permanence via invasion graphs: incorporating community assembly into modern coexistence theory.

Authors:  Josef Hofbauer; Sebastian J Schreiber
Journal:  J Math Biol       Date:  2022-10-18       Impact factor: 2.164

  3 in total

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