메뉴 건너뛰기




Volumn 13, Issue 6, 2012, Pages 2540-2555

A competitive model in a chemostat with nutrient recycling and antibiotic treatment

Author keywords

Antibiotic; Chemostat; Competition; Nutrient recycling; Uniform persistence

Indexed keywords

ANTIBIOTIC TREATMENT; ANTIBIOTIC-RESISTANT BACTERIA; BOUNDEDNESS; COMPETITIVE MODELS; NUTRIENT RECYCLING; SUFFICIENT AND NECESSARY CONDITION; UNIFORM PERSISTENCE;

EID: 84862823345     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2012.02.016     Document Type: Article
Times cited : (11)

References (29)
  • 1
    • 0032494456 scopus 로고    scopus 로고
    • The dynamics of drug action on the within-host population growth of infectious agents: Melding pharmacokinetics with pathogen population dynamics
    • D.J. Austin, N.J. White, and R.M. Anderson The dynamics of drug action on the within-host population growth of infectious agents: melding pharmacokinetics with pathogen population dynamics J. Theoret. Biol. 194 3 1998 313 339
    • (1998) J. Theoret. Biol. , vol.194 , Issue.3 , pp. 313-339
    • Austin, D.J.1    White, N.J.2    Anderson, R.M.3
  • 2
    • 30444453829 scopus 로고    scopus 로고
    • Persisters, tolerance and dosing
    • N.G. Cogan Persisters, tolerance and dosing J. Theoret. Biol. 238 3 2006 694 703
    • (2006) J. Theoret. Biol. , vol.238 , Issue.3 , pp. 694-703
    • Cogan, N.G.1
  • 3
    • 77950916847 scopus 로고    scopus 로고
    • Modelling of role of cross-immunity between two different strains of leishmania
    • I. Elmojtaba, J.Y.T. Mugisha, and M. Hashim Modelling of role of cross-immunity between two different strains of leishmania Nonlinear Anal. RWA 11 2010 2175 2189
    • (2010) Nonlinear Anal. RWA , vol.11 , pp. 2175-2189
    • Elmojtaba, I.1    Mugisha, J.Y.T.2    Hashim, M.3
  • 4
    • 0031861801 scopus 로고    scopus 로고
    • Comparisons between antimicrobial pharmacodynamic indices and bacterial killing as described by using the Zhi model
    • S. Corvaisier, P. Maire, M. Bouvier D'Yvoire, X. Barbaut, N. Bleyzac, and R. Jelliffe Comparisons between antimicrobial pharmacodynamic indices and bacterial killing as described by using the Zhi model Antimicrob. Agents Chemother. 42 7 1998 1731 1737
    • (1998) Antimicrob. Agents Chemother. , vol.42 , Issue.7 , pp. 1731-1737
    • Corvaisier, S.1    Maire, P.2    Bouvier D'Yvoire, M.3    Barbaut, X.4    Bleyzac, N.5    Jelliffe, R.6
  • 5
    • 31544436917 scopus 로고    scopus 로고
    • A new modeling approach to the effect of antimicrobial agents on heterogeneous microbial population
    • M. Nikolaou, and V.H. Tam A new modeling approach to the effect of antimicrobial agents on heterogeneous microbial population J. Math. Biol. 52 2006 154 182
    • (2006) J. Math. Biol. , vol.52 , pp. 154-182
    • Nikolaou, M.1    Tam, V.H.2
  • 6
  • 8
    • 84859644240 scopus 로고    scopus 로고
    • Persistence of bacteria and phages in a chemostat
    • in press
    • H. Smith, H. Thieme, Persistence of bacteria and phages in a chemostat, J. Math. Biol., in press (http://dx.doi.org/10.1007/s00285-011-0434-4).
    • J. Math. Biol.
    • Smith, H.1    Thieme, H.2
  • 9
    • 77958003925 scopus 로고    scopus 로고
    • Dynamics of a model of allelopathy and bacteriocin with a single mutation
    • L. Zou, X. Chen, S. Ruan, and W. Zhang Dynamics of a model of allelopathy and bacteriocin with a single mutation Nonlinear Anal. RWA 12 2011 658 670
    • (2011) Nonlinear Anal. RWA , vol.12 , pp. 658-670
    • Zou, L.1    Chen, X.2    Ruan, S.3    Zhang, W.4
  • 10
    • 77950917649 scopus 로고    scopus 로고
    • The dynamics of an epidemic model for pest control with impulsive effect
    • L. Wang, L. Chen, and J. Nieto The dynamics of an epidemic model for pest control with impulsive effect Nonlinear Anal. RWA 11 2010 1374 1386
    • (2010) Nonlinear Anal. RWA , vol.11 , pp. 1374-1386
    • Wang, L.1    Chen, L.2    Nieto, J.3
  • 11
    • 79551549346 scopus 로고    scopus 로고
    • Bacteria competition in serial tranfer culture
    • H. Smith Bacteria competition in serial tranfer culture Math. Biosci. 229 2011 149 159
    • (2011) Math. Biosci. , vol.229 , pp. 149-159
    • Smith, H.1
  • 12
    • 24944443270 scopus 로고    scopus 로고
    • A model of antibiotic-resistant bacterial epidemics in hospitals
    • G.F. Webb, E.M.C. D'Agata, P. Magal, and S. Ruan A model of antibiotic-resistant bacterial epidemics in hospitals Proc. Natl. Acad. Sci. 102 2005 13343 13348
    • (2005) Proc. Natl. Acad. Sci. , vol.102 , pp. 13343-13348
    • Webb, G.F.1    D'Agata, E.M.C.2    Magal, P.3    Ruan, S.4
  • 13
    • 35748982648 scopus 로고    scopus 로고
    • Modeling antibiotic resisance in hospitals: The impact of minimizing treatment duration
    • E.M.C. D'Agata, P. Magal, D. Olivier, S. Ruan, and G.F. Webb Modeling antibiotic resisance in hospitals: the impact of minimizing treatment duration J. Theoret. Biol. 249 2007 487 499
    • (2007) J. Theoret. Biol. , vol.249 , pp. 487-499
    • D'Agata, E.M.C.1    Magal, P.2    Olivier, D.3    Ruan, S.4    Webb, G.F.5
  • 14
    • 77952586760 scopus 로고    scopus 로고
    • Competition of hospital-acquired and community-acquired methicillin-resistant Staphylococcus aureus strains in hospitals
    • G.F. Webb, M.A. Horn, E.M.C. D'Agata, R.C. Moellerring, and S. Ruan Competition of hospital-acquired and community-acquired methicillin-resistant Staphylococcus aureus strains in hospitals J. Biol. Dyn. 4 2010 115 129
    • (2010) J. Biol. Dyn. , vol.4 , pp. 115-129
    • Webb, G.F.1    Horn, M.A.2    D'Agata, E.M.C.3    Moellerring, R.C.4    Ruan, S.5
  • 15
    • 77955276384 scopus 로고    scopus 로고
    • Qualitative analysis of model with different treatment protocols ot prevent antibiotic resistance
    • H. Sun, X. Lu, and S. Ruan Qualitative analysis of model with different treatment protocols ot prevent antibiotic resistance Math. Biosci. 227 2010 56 67
    • (2010) Math. Biosci. , vol.227 , pp. 56-67
    • Sun, H.1    Lu, X.2    Ruan, S.3
  • 16
    • 77955091656 scopus 로고    scopus 로고
    • Senescence and antibiotic resistance in an agestructured population model
    • P. Leenheer, and J. Dockery Senescence and antibiotic resistance in an agestructured population model J. Math. Biol. 61 2010 475 499
    • (2010) J. Math. Biol. , vol.61 , pp. 475-499
    • Leenheer, P.1    Dockery, J.2
  • 17
    • 34547489403 scopus 로고    scopus 로고
    • The pharmacodynamics of antibiotic treatment
    • M. Imran, and H. Smith The pharmacodynamics of antibiotic treatment Comput. Math. Methods Med. 7 4 2006 229 263
    • (2006) Comput. Math. Methods Med. , vol.7 , Issue.4 , pp. 229-263
    • Imran, M.1    Smith, H.2
  • 19
    • 60549112741 scopus 로고    scopus 로고
    • Permanent coexistence in chemostat models with delayed feedback control
    • O. Tagashira Permanent coexistence in chemostat models with delayed feedback control Nonlinear Anal. RWA 10 2009 1443 1452
    • (2009) Nonlinear Anal. RWA , vol.10 , pp. 1443-1452
    • Tagashira, O.1
  • 20
    • 77955516178 scopus 로고    scopus 로고
    • Coexistence of an unstirred chemostat model with Beddington DeAngelis functional response and inhibitor
    • H. Nie, and J. Wu Coexistence of an unstirred chemostat model with Beddington DeAngelis functional response and inhibitor Nonlinear Anal. RWA 11 2010 3639 3652
    • (2010) Nonlinear Anal. RWA , vol.11 , pp. 3639-3652
    • Nie, H.1    Wu, J.2
  • 21
    • 68549085472 scopus 로고    scopus 로고
    • Impulsive perturbation and bifurcation of solutions for a model of chemostat with variable yield
    • H. Zhang, P. Georgescu, J. Nieto, and L. Chen Impulsive perturbation and bifurcation of solutions for a model of chemostat with variable yield Appl. Math. Mech. (English Ed.) 30 2009 933 944
    • (2009) Appl. Math. Mech. (English Ed.) , vol.30 , pp. 933-944
    • Zhang, H.1    Georgescu, P.2    Nieto, J.3    Chen, L.4
  • 22
    • 72949089982 scopus 로고    scopus 로고
    • Dynamic analysis of Michaelis-Menten chemostat-type competition models with time delay and pulse in a polluted environment
    • X. Meng, Z. Li, and J. Nieto Dynamic analysis of Michaelis-Menten chemostat-type competition models with time delay and pulse in a polluted environment J. Math. Chem. 47 2010 123 144
    • (2010) J. Math. Chem. , vol.47 , pp. 123-144
    • Meng, X.1    Li, Z.2    Nieto, J.3
  • 23
    • 60549097229 scopus 로고    scopus 로고
    • Global asymptotic behavior in chemostat-type competition models with delay
    • S. Yuan, W. Zhang, and M. Han Global asymptotic behavior in chemostat-type competition models with delay Nonlinear Anal. RWA 10 2009 1305 1320
    • (2009) Nonlinear Anal. RWA , vol.10 , pp. 1305-1320
    • Yuan, S.1    Zhang, W.2    Han, M.3
  • 24
    • 60749136477 scopus 로고    scopus 로고
    • Positive solutions of a competition model for two resources in the unstirred chemostat
    • H. Nie, and J. Wu Positive solutions of a competition model for two resources in the unstirred chemostat J. Math. Anal. Appl. 355 2009 231 242
    • (2009) J. Math. Anal. Appl. , vol.355 , pp. 231-242
    • Nie, H.1    Wu, J.2
  • 25
    • 0025152436 scopus 로고
    • Stability in chemostat equations with delayed nutrient recycling
    • E. Beretta, G.I. Bischi, and F. Solimano Stability in chemostat equations with delayed nutrient recycling J. Math. Biol. 28 1990 99 111
    • (1990) J. Math. Biol. , vol.28 , pp. 99-111
    • Beretta, E.1    Bischi, G.I.2    Solimano, F.3
  • 26
    • 0002797068 scopus 로고
    • Models of competition in the chemostat with instantaneous and delayed nutrient recycling
    • H.I. Freedman, and Y. Xu Models of competition in the chemostat with instantaneous and delayed nutrient recycling J. Math. Biol. 31 1993 513 527
    • (1993) J. Math. Biol. , vol.31 , pp. 513-527
    • Freedman, H.I.1    Xu, Y.2
  • 27
    • 0031976441 scopus 로고    scopus 로고
    • Model of plasmid-bearing plasmid-free competition in the chemostat with nutrient recycling and an inhibitor
    • Z. Lu, and K.P. Hadeler Model of plasmid-bearing plasmid-free competition in the chemostat with nutrient recycling and an inhibitor Math. Biosci. 148 1998 147 159
    • (1998) Math. Biosci. , vol.148 , pp. 147-159
    • Lu, Z.1    Hadeler, K.P.2
  • 28
    • 33745820829 scopus 로고    scopus 로고
    • Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor
    • S. Yuan, D. Xiao, and M. Han Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor Math. Biosci. 202 2006 1 28
    • (2006) Math. Biosci. , vol.202 , pp. 1-28
    • Yuan, S.1    Xiao, D.2    Han, M.3
  • 29
    • 0031997297 scopus 로고    scopus 로고
    • Global stability in chemostat-type competition models with nutrient recycling
    • S. Ruan, and X.Z. He Global stability in chemostat-type competition models with nutrient recycling SIAM J. Appl. Math. 58 1 1998 170 192
    • (1998) SIAM J. Appl. Math. , vol.58 , Issue.1 , pp. 170-192
    • Ruan, S.1    He, X.Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.