메뉴 건너뛰기




Volumn 241, Issue 1, 2000, Pages 134-155

Microbial growth in a plug flow reactor with wall adherence and cell motility

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033632888     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6642     Document Type: Article
Times cited : (11)

References (22)
  • 1
    • 0017014016 scopus 로고
    • Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces
    • H. Amann, Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces, SIAM Rev. 18 (1976), 620-709.
    • (1976) SIAM Rev. , vol.18 , pp. 620-709
    • Amann, H.1
  • 2
    • 0032201842 scopus 로고    scopus 로고
    • Effects of random motility on microbial growth and competition in a flow reactor
    • M. Ballyk, D. Le, D. Jones, and H. L. Smith, Effects of random motility on microbial growth and competition in a flow reactor, SIAM J. Appl. Math. 56 (1999), 573-596.
    • (1999) SIAM J. Appl. Math. , vol.56 , pp. 573-596
    • Ballyk, M.1    Le, D.2    Jones, D.3    Smith, H.L.4
  • 6
    • 0001836888 scopus 로고
    • Mechanics that control the microflora in the large intestine
    • D. Hentges, Ed., Academic Press, New York
    • R. Freter, Mechanics that control the microflora in the large intestine, in "Human Intestinal Microflora in Health and Disease" (D. Hentges, Ed.), Academic Press, New York, 1983.
    • (1983) Human Intestinal Microflora in Health and Disease
    • Freter, R.1
  • 8
    • 0000472073 scopus 로고
    • An understanding of colonization resistance of the mammalian large intestine requires mathematical analysis
    • R. Freter, H. Brickner, and S. Temme, An understanding of colonization resistance of the mammalian large intestine requires mathematical analysis, Microecology and Therapy 16 (1986), 147-155.
    • (1986) Microecology and Therapy , vol.16 , pp. 147-155
    • Freter, R.1    Brickner, H.2    Temme, S.3
  • 9
    • 0003293929 scopus 로고
    • Asymptotic behavior of dissipative systems
    • Amer. Math. Soc., Providence, R.I
    • J. K. Hale, "Asymptotic behavior of dissipative systems," AMS Math. Surv. & Monographs, Vol. 25, Amer. Math. Soc., Providence, R.I., 1988.
    • (1988) AMS Math. Surv. & Monographs , vol.25
    • Hale, J.K.1
  • 10
    • 0000802631 scopus 로고
    • Persistence in infinite-dimensional systems
    • J. Hale and P. Waltman, Persistence in infinite-dimensional systems, SIAM J. Math. Anal. 20 (1989), 388-395.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 388-395
    • Hale, J.1    Waltman, P.2
  • 11
    • 0026616222 scopus 로고
    • Permanence and the dynamics of biological systems
    • V. Hutson and K. Schmitt, Permanence and the dynamics of biological systems, Math. Biosci. 111 (1992), 1-71.
    • (1992) Math. Biosci. , vol.111 , pp. 1-71
    • Hutson, V.1    Schmitt, K.2
  • 12
    • 0000654118 scopus 로고    scopus 로고
    • Dissipativity and global attractors for a class of quasi-linear parabolic systems
    • D. Le, Dissipativity and global attractors for a class of quasi-linear parabolic systems, Comm. PDE 22 (1997), 413-433.
    • (1997) Comm. PDE , vol.22 , pp. 413-433
    • Le, D.1
  • 13
    • 0002597536 scopus 로고    scopus 로고
    • Global attractors and steady state solutions for a class of reaction-diffusion systems
    • D. Le, Global attractors and steady state solutions for a class of reaction-diffusion systems, J. Differential Equations 147 (1998), 1-29.
    • (1998) J. Differential Equations , vol.147 , pp. 1-29
    • Le, D.1
  • 14
    • 0030239605 scopus 로고    scopus 로고
    • A parabolic system modeling microbial competition in an unmixed bio-reactor
    • D. Le and H. L. Smith, A parabolic system modeling microbial competition in an unmixed bio-reactor, J. Differential Equations 130 (1996), 59-91.
    • (1996) J. Differential Equations , vol.130 , pp. 59-91
    • Le, D.1    Smith, H.L.2
  • 16
    • 0003270907 scopus 로고
    • Monotone dynamical systems: An introduction to the theory of competitive and cooperative systems
    • Amer. Math. Soc., Providence, R.I
    • H. L. Smith, "Monotone dynamical systems: An introduction to the theory of competitive and cooperative systems," AMS Math. Surv. & Monographs, Vol. 41, Amer. Math. Soc., Providence, R.I., 1995.
    • (1995) AMS Math. Surv. & Monographs , vol.41
    • Smith, H.L.1
  • 18
    • 85031551290 scopus 로고    scopus 로고
    • Dynamics of a periodically pulsed bio-reactor model
    • to appear in
    • H. L. Smith and X.-Q. Zhao, (1998) Dynamics of a periodically pulsed bio-reactor model, to appear in J. Differential Equations.
    • (1998) J. Differential Equations
    • Smith, H.L.1    Zhao, X.-Q.2
  • 20
    • 0039591930 scopus 로고
    • Persistence under relaxed point-dissipativity (with application to an epidemic model)
    • H. Thieme, Persistence under relaxed point-dissipativity (with application to an epidemic model), SIAM J. Math. Anal. 24 (1993), 407-435.
    • (1993) SIAM J. Math. Anal. , vol.24 , pp. 407-435
    • Thieme, H.1
  • 21
    • 0000313693 scopus 로고
    • Uniform persistence and periodic coexistence states in infinite-dimensional periodic semiflows with applications
    • X.-Q. Zhao, Uniform persistence and periodic coexistence states in infinite-dimensional periodic semiflows with applications, Canad. Appl. Math. Quart. 3 (1995), 473-495.
    • (1995) Canad. Appl. Math. Quart. , vol.3 , pp. 473-495
    • Zhao, X.-Q.1
  • 22
    • 0000310241 scopus 로고
    • Permanence in Kolmogorov periodic predator-prey models with diffusion
    • X.-Q. Zhao and V. Hutson, Permanence in Kolmogorov periodic predator-prey models with diffusion, Nonlinear Anal., TMA 23 (1994), 651-668.
    • (1994) Nonlinear Anal., TMA , vol.23 , pp. 651-668
    • Zhao, X.-Q.1    Hutson, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.