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Volumn 59, Issue 5, 1999, Pages 1552-1572

Simple chemostat with wall growth

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGY; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES;

EID: 0033349132     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139997326181     Document Type: Article
Times cited : (33)

References (16)
  • 1
    • 0020841669 scopus 로고
    • Competition of two microbial populations for a single resource in a chemostat when one of them exhibits wall attachment
    • B.C. BALTZIS AND A.G. FREDRICKSON, Competition of two microbial populations for a single resource in a chemostat when one of them exhibits wall attachment, Biotechnology and Bioengineering, XXV (1983), pp. 2419-2439.
    • (1983) Biotechnology and Bioengineering , vol.25 , pp. 2419-2439
    • Baltzis, B.C.1    Fredrickson, A.G.2
  • 2
    • 84972506380 scopus 로고
    • Uniform persistence for population models with time delay using multiple Liapunov functions
    • Y. CAO AND T.C. GARD, Uniform persistence for population models with time delay using multiple Liapunov functions, Differential Integral Equations, 6 (1993), pp. 883-898.
    • (1993) Differential Integral Equations , vol.6 , pp. 883-898
    • Cao, Y.1    Gard, T.C.2
  • 5
    • 0000472073 scopus 로고
    • An understanding of colonization of the large intestine requires mathematical analysis
    • R. FRETER, An understanding of colonization of the large intestine requires mathematical analysis, Microecology and Therapy, 16 (1986), pp. 147-155.
    • (1986) Microecology and Therapy , vol.16 , pp. 147-155
    • Freter, R.1
  • 6
    • 0001836888 scopus 로고
    • Mechanisms that control the microflora in the large intestine
    • D.J. Hentges, ed., Academic Press, New York
    • R. FRETER, Mechanisms that control the microflora in the large intestine, in Human Intestinal Microflora in Health and Disease, D.J. Hentges, ed., Academic Press, New York, 1983, pp. 33-54.
    • (1983) Human Intestinal Microflora in Health and Disease , pp. 33-54
    • Freter, R.1
  • 9
    • 0000468175 scopus 로고
    • Limiting behavior for competing species
    • S.B. HSU, Limiting behavior for competing species, SIAM J. Appl. Math., 34 (1978), pp. 760-763.
    • (1978) SIAM J. Appl. Math. , vol.34 , pp. 760-763
    • Hsu, S.B.1
  • 14
    • 77952672921 scopus 로고
    • Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
    • H. THIEME, Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations, J. Math. Biol., 30 (1992), pp. 755-763.
    • (1992) J. Math. Biol. , vol.30 , pp. 755-763
    • Thieme, H.1
  • 15
    • 0026818163 scopus 로고
    • Global dynamics of a mathematical model of competition in the chemostat: General response functions and differential death rates
    • G.S.K. WOLKOWICZ AND Z. LU, Global dynamics of a mathematical model of competition in the chemostat: General response functions and differential death rates, SIAM J. Appl. Math., 52 (1992), pp. 222-233.
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 222-233
    • Wolkowicz, G.S.K.1    Lu, Z.2
  • 16
    • 0011690047 scopus 로고
    • Microbial dynamics in a chemostat: Competition, growth, implications for enrichment
    • Differential Equations and Control Theory, Z. Deng, Z. Liang, G. Lu, and S. Ruan, eds., Marcel Dekker, New York
    • G.S.K. WOLKOWICZ, M.M. BALLYK, AND Z. LU, Microbial dynamics in a chemostat: competition, growth, implications for enrichment, in Differential Equations and Control Theory, Lecture Notes in Pure and Appl. Math. 176, Z. Deng, Z. Liang, G. Lu, and S. Ruan, eds., Marcel Dekker, New York, 1995, pp. 389-406.
    • (1995) Lecture Notes in Pure and Appl. Math. , vol.176 , pp. 389-406
    • Wolkowicz, G.S.K.1    Ballyk, M.M.2    Lu, Z.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.