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Volumn 202, Issue 1, 2006, Pages 1-28

Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor

Author keywords

Chemostat; Competition; Inhibitor; Nutrient recycling; Uniform persistence

Indexed keywords

BACTERIA; BIOMASS; COMPETITION; DECOMPOSITION; LYAPUNOV METHODS; MATHEMATICAL MODELS; NUTRITION; RECYCLING;

EID: 33745820829     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mbs.2006.04.003     Document Type: Article
Times cited : (19)

References (39)
  • 1
    • 0031976441 scopus 로고    scopus 로고
    • Model of plasmid-bearing plasmid-free competition in the chemostat with nutrient recycling and an inhibitor
    • Lu Z., and Hadeler K.P. Model of plasmid-bearing plasmid-free competition in the chemostat with nutrient recycling and an inhibitor. Math. Biosci. 148 (1998) 147
    • (1998) Math. Biosci. , vol.148 , pp. 147
    • Lu, Z.1    Hadeler, K.P.2
  • 2
    • 0000326250 scopus 로고
    • The ecology and physiological significance of the growth of heterotrophic microorganisms with mixtures of substrates
    • Jones G. (Ed), Plenum, New York
    • Egli T. The ecology and physiological significance of the growth of heterotrophic microorganisms with mixtures of substrates. In: Jones G. (Ed). Advances in Microbial Ecology vol. 14 (1995), Plenum, New York 305
    • (1995) Advances in Microbial Ecology , vol.14 , pp. 305
    • Egli, T.1
  • 3
    • 0000228768 scopus 로고
    • The continuous culture of bacteria: a theoretical and experimental study
    • Herbert D., Elsworth R., and Telling R.C. The continuous culture of bacteria: a theoretical and experimental study. J. Gen. Microbiol. 14 (1956) 601
    • (1956) J. Gen. Microbiol. , vol.14 , pp. 601
    • Herbert, D.1    Elsworth, R.2    Telling, R.C.3
  • 4
    • 0001555399 scopus 로고
    • Description of the chemostat
    • Novick A., and Sziliaard L. Description of the chemostat. Science 112 (1950) 715
    • (1950) Science , vol.112 , pp. 715
    • Novick, A.1    Sziliaard, L.2
  • 6
    • 0016632639 scopus 로고
    • Theoretical studies on the coexistence of competing species under continuous-flow conditions
    • Taylor P.A., and Williams J.L. Theoretical studies on the coexistence of competing species under continuous-flow conditions. Can. J. Microbiol. 21 (1975) 90
    • (1975) Can. J. Microbiol. , vol.21 , pp. 90
    • Taylor, P.A.1    Williams, J.L.2
  • 8
    • 0003270907 scopus 로고
    • Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems
    • AMS, Providence, RI
    • Smith H.L. Monotone dynamical systems: an introduction to the theory of competitive and cooperative systems. Math. Surv. and Monographs vol. 41 (1995), AMS, Providence, RI
    • (1995) Math. Surv. and Monographs , vol.41
    • Smith, H.L.1
  • 9
    • 0000816850 scopus 로고
    • Competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor
    • Hsu S.B., Luo T.K., and Waltman P. Competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor. J. Math. Biol. 34 (1995) 225
    • (1995) J. Math. Biol. , vol.34 , pp. 225
    • Hsu, S.B.1    Luo, T.K.2    Waltman, P.3
  • 10
    • 0030971196 scopus 로고    scopus 로고
    • Competition between plasmid-bearing and plasmid-free organisms in selective media
    • Hsu S.B., and Waltman P. Competition between plasmid-bearing and plasmid-free organisms in selective media. Chem. Eng. Sci. 52 (1997) 23
    • (1997) Chem. Eng. Sci. , vol.52 , pp. 23
    • Hsu, S.B.1    Waltman, P.2
  • 11
    • 0000309378 scopus 로고
    • Global analysis of a model of plasmid-bearing, plasmid-free organisms competition in the chemostat
    • Hsu S.B., Waltman P., and Wolkowicz G.S.K. Global analysis of a model of plasmid-bearing, plasmid-free organisms competition in the chemostat. J. Math. Biol. 32 (1994) 731
    • (1994) J. Math. Biol. , vol.32 , pp. 731
    • Hsu, S.B.1    Waltman, P.2    Wolkowicz, G.S.K.3
  • 13
    • 0021475276 scopus 로고
    • An operational strategy for unstable recombinant DNA cultures
    • Ryder D.F., and DiBiasio D. An operational strategy for unstable recombinant DNA cultures. Biotechnol. Bioeng. 26 (1984) 947
    • (1984) Biotechnol. Bioeng. , vol.26 , pp. 947
    • Ryder, D.F.1    DiBiasio, D.2
  • 14
    • 0023862552 scopus 로고    scopus 로고
    • Chemostat dynamics of plasmid-bearing plasmid-free mixed recombinant cultures
    • Stephanopoulis G., and Lapidus G. Chemostat dynamics of plasmid-bearing plasmid-free mixed recombinant cultures. Chem. Eng. Sci. 43 (1998) 49
    • (1998) Chem. Eng. Sci. , vol.43 , pp. 49
    • Stephanopoulis, G.1    Lapidus, G.2
  • 15
    • 0036715423 scopus 로고    scopus 로고
    • Plasmid-bearing, plasmid-free organisms competing for two complementary nutrients in a chemostat
    • Hsu S.B., and Tzeng Y.H. Plasmid-bearing, plasmid-free organisms competing for two complementary nutrients in a chemostat. Math. Biosci. 179 (2002) 183
    • (2002) Math. Biosci. , vol.179 , pp. 183
    • Hsu, S.B.1    Tzeng, Y.H.2
  • 16
    • 0001327030 scopus 로고
    • Structured habitats and the evolution of anti-competitor toxins in bacteria
    • Chao L., and Levin B.R. Structured habitats and the evolution of anti-competitor toxins in bacteria. Proc. Nat. Acad. Sci. 75 (1981) 6324
    • (1981) Proc. Nat. Acad. Sci. , vol.75 , pp. 6324
    • Chao, L.1    Levin, B.R.2
  • 17
    • 0024280109 scopus 로고
    • Frequency-dependent selection in bacteria populations
    • Levin B.R. Frequency-dependent selection in bacteria populations. Philos. Trans. R. Soc. London 319 (1988) 459
    • (1988) Philos. Trans. R. Soc. London , vol.319 , pp. 459
    • Levin, B.R.1
  • 18
    • 0000823171 scopus 로고    scopus 로고
    • Competition in the chemostat when one competitor produces a toxin
    • Hsu S.B., and Waltman P. Competition in the chemostat when one competitor produces a toxin. Jpn. J. Ind. Appl. Math. 15 (1998) 471
    • (1998) Jpn. J. Ind. Appl. Math. , vol.15 , pp. 471
    • Hsu, S.B.1    Waltman, P.2
  • 19
    • 0033795326 scopus 로고    scopus 로고
    • Competition in the presence of a lethal external inhibitor
    • Hsu S.B., Li Y.-S., and Waltman P. Competition in the presence of a lethal external inhibitor. Math. Biosci. 167 (2000) 177
    • (2000) Math. Biosci. , vol.167 , pp. 177
    • Hsu, S.B.1    Li, Y.-S.2    Waltman, P.3
  • 20
    • 0002601154 scopus 로고
    • Global Analysis of plasmid-bearing plasmid-free competition in a chemostat with inhibitor
    • Hsu S.B., and Luo T.K. Global Analysis of plasmid-bearing plasmid-free competition in a chemostat with inhibitor. J. Math. Biol. 34 (1995) 41
    • (1995) J. Math. Biol. , vol.34 , pp. 41
    • Hsu, S.B.1    Luo, T.K.2
  • 21
    • 0026844216 scopus 로고
    • Analysis of a model of two competitors in a chemostat with an external inhibitor
    • Hsu S.B., and Waltman P. Analysis of a model of two competitors in a chemostat with an external inhibitor. SIAM J. Appl. Math. 52 (1992) 528
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 528
    • Hsu, S.B.1    Waltman, P.2
  • 22
    • 33745812927 scopus 로고
    • Coexistence of two competitors on one resource and one inhibitor: a chemostat model based on bacteria and antibiotics
    • Lenski R.E., and Hattingh S. Coexistence of two competitors on one resource and one inhibitor: a chemostat model based on bacteria and antibiotics. J. Theoret. Biol. 34 (1995) 225
    • (1995) J. Theoret. Biol. , vol.34 , pp. 225
    • Lenski, R.E.1    Hattingh, S.2
  • 23
    • 0025152436 scopus 로고
    • Stability in chemostat equations with delayed nutrient recycling
    • Beretta E., Bischi G.I., and Solimano F. Stability in chemostat equations with delayed nutrient recycling. J. Math. Biol. 28 (1990) 99
    • (1990) J. Math. Biol. , vol.28 , pp. 99
    • Beretta, E.1    Bischi, G.I.2    Solimano, F.3
  • 24
    • 0002797068 scopus 로고
    • Models of competition in the chemostat with instantaneous and delayed nutrient recycling
    • Freedman H.I., and Xu Y. Models of competition in the chemostat with instantaneous and delayed nutrient recycling. J. Math. Biol. 31 (1993) 513
    • (1993) J. Math. Biol. , vol.31 , pp. 513
    • Freedman, H.I.1    Xu, Y.2
  • 25
    • 0011678840 scopus 로고
    • Global stability for chemostat equations with delayed nutrient recycling
    • Beretta E., and Takeuchi Y. Global stability for chemostat equations with delayed nutrient recycling. Nonlinear World 1 (1994) 291
    • (1994) Nonlinear World , vol.1 , pp. 291
    • Beretta, E.1    Takeuchi, Y.2
  • 26
    • 0022012911 scopus 로고
    • A mathematical model of the chemostat with a general class of functions describing nutrient uptake
    • Butler G.J., and Wolkowicz G.S.K. A mathematical model of the chemostat with a general class of functions describing nutrient uptake. SIAM J. Appl. Math. 45 (1985) 138
    • (1985) SIAM J. Appl. Math. , vol.45 , pp. 138
    • Butler, G.J.1    Wolkowicz, G.S.K.2
  • 27
    • 0000468175 scopus 로고
    • Limiting behavior for competing species
    • Hsu S.-B. Limiting behavior for competing species. SIAM J. Appl. Math. 34 (1978) 760
    • (1978) SIAM J. Appl. Math. , vol.34 , pp. 760
    • Hsu, S.-B.1
  • 28
    • 0037411677 scopus 로고    scopus 로고
    • Competition in the chemostat: convergence of a model with delayed response in growth
    • Yuan S., Han M., and Ma Z. Competition in the chemostat: convergence of a model with delayed response in growth. Chaos, Solitions & Fractals 17 4 (2003) 659
    • (2003) Chaos, Solitions & Fractals , vol.17 , Issue.4 , pp. 659
    • Yuan, S.1    Han, M.2    Ma, Z.3
  • 29
    • 0031997297 scopus 로고    scopus 로고
    • Global stability in chemostat-type competition models with nutrient recycling
    • Ruan S., and He X.-Z. Global stability in chemostat-type competition models with nutrient recycling. SIAM J. Appl. Math. 58 1 (1998) 170
    • (1998) SIAM J. Appl. Math. , vol.58 , Issue.1 , pp. 170
    • Ruan, S.1    He, X.-Z.2
  • 32
    • 77952672921 scopus 로고
    • Convergence results and a Poincare-Bendixson trichotomy for asymptotically autonomous differential equations
    • Thime H.R. Convergence results and a Poincare-Bendixson trichotomy for asymptotically autonomous differential equations. J. Math. Biol. 30 (1992) 755
    • (1992) J. Math. Biol. , vol.30 , pp. 755
    • Thime, H.R.1
  • 33
    • 33745871291 scopus 로고    scopus 로고
    • R.S. Cantrell, C. Cosner, S. Ruan, Intraspecific interference and consumer-resource dynamics, Discr. Cont. Dyn. Syst. Ser. B, in press.
  • 34
    • 0004134669 scopus 로고
    • Springer, Heidelberg
    • Cushing J.M. Integrodifferential Equations and Delay Models in Population Dynamics. Lecture Notes in Biomathematics 20 (1977), Springer, Heidelberg
    • (1977) Lecture Notes in Biomathematics , vol.20
    • Cushing, J.M.1
  • 35
    • 0035156355 scopus 로고    scopus 로고
    • A competition model with dynamically allocated inhibitor production
    • Braselton J.P., and Waltman P. A competition model with dynamically allocated inhibitor production. Math. Biol. 173 (2001) 55
    • (2001) Math. Biol. , vol.173 , pp. 55
    • Braselton, J.P.1    Waltman, P.2
  • 36
    • 0032692797 scopus 로고    scopus 로고
    • How bacteria talk to each other: regulation of gene expression by quorum sensing
    • Bassler B.L. How bacteria talk to each other: regulation of gene expression by quorum sensing. Curr. Opin. Microbiol. 2 (1999) 582
    • (1999) Curr. Opin. Microbiol. , vol.2 , pp. 582
    • Bassler, B.L.1
  • 37
    • 0028176266 scopus 로고
    • Light-limited growth and competition for light in well-mixed aquatic environments: an elementary model
    • Huisman J.P., and Weissing F.J. Light-limited growth and competition for light in well-mixed aquatic environments: an elementary model. Ecology 75 (1994) 507
    • (1994) Ecology , vol.75 , pp. 507
    • Huisman, J.P.1    Weissing, F.J.2
  • 38
    • 0026308064 scopus 로고
    • Light environment within dense algal populations: cell size influences on self-shading
    • Agusti S. Light environment within dense algal populations: cell size influences on self-shading. J. Plankton Res. 13 (1991) 863
    • (1991) J. Plankton Res. , vol.13 , pp. 863
    • Agusti, S.1
  • 39
    • 0034150129 scopus 로고    scopus 로고
    • Dynamics of variable-yield nutrient-phytoplankton-zooplankton models with nutrient recycling and self-shading
    • Jang S.R. Dynamics of variable-yield nutrient-phytoplankton-zooplankton models with nutrient recycling and self-shading. J. Math. Biol. 40 (2000) 229
    • (2000) J. Math. Biol. , vol.40 , pp. 229
    • Jang, S.R.1


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