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Volumn 39, Issue 7, 2000, Pages 817-835

Global bifurcation of coexistence state for the competition model in the chemostat

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; ECOLOGY; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

EID: 0034148920     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00250-8     Document Type: Article
Times cited : (93)

References (14)
  • 1
    • 0028442762 scopus 로고
    • Nonlinear boundary value problems and competition in the chemostat
    • J.V. Baxley, H.B. Thompson, Nonlinear boundary value problems and competition in the chemostat, Nonlinear Anal. 22 (1994) 1329-1344.
    • (1994) Nonlinear Anal. , vol.22 , pp. 1329-1344
    • Baxley, J.V.1    Thompson, H.B.2
  • 2
    • 0001339498 scopus 로고
    • Global bifurcation of positive solutions in some systems of elliptic equations
    • J. Blat, K.J. Brown, Global bifurcation of positive solutions in some systems of elliptic equations, Siam J. Math. Anal. 17 (1986) 1339-1353.
    • (1986) Siam J. Math. Anal. , vol.17 , pp. 1339-1353
    • Blat, J.1    Brown, K.J.2
  • 3
  • 4
    • 0015746829 scopus 로고
    • Bifurcation, perturbation of simple eigenvalues, and linearized stability
    • M.G. Crandall, P.H. Rabinowitz, Bifurcation, perturbation of simple eigenvalues, and linearized stability, Arch. Rational Mech. Anal. 52 (1973) 161-180.
    • (1973) Arch. Rational Mech. Anal. , vol.52 , pp. 161-180
    • Crandall, M.G.1    Rabinowitz, P.H.2
  • 5
    • 84856282424 scopus 로고
    • Strict monotonicity of eigenvalues and unique continuation
    • D.G. Figueiredo, J.P. Gossez, Strict monotonicity of eigenvalues and unique continuation, Comm. PDE 17 (1992) 339-346.
    • (1992) Comm. PDE , vol.17 , pp. 339-346
    • Figueiredo, D.G.1    Gossez, J.P.2
  • 6
    • 0027645076 scopus 로고
    • On a system of reaction-diffusion equations arising in an unstirred chemostat
    • S.B. Hsu, P. Waltman, On a system of reaction-diffusion equations arising in an unstirred chemostat, Siam J. Appl. Math. 53 (1993) 1026-1044.
    • (1993) Siam J. Appl. Math. , vol.53 , pp. 1026-1044
    • Hsu, S.B.1    Waltman, P.2
  • 10
    • 36448974335 scopus 로고
    • Some global results for nonlinear eigenvalue problems
    • P.H. Rabinowitz, Some global results for nonlinear eigenvalue problems, J. Func. Anal. 7 (1971) 487-513.
    • (1971) J. Func. Anal. , vol.7 , pp. 487-513
    • Rabinowitz, P.H.1
  • 12
    • 38249004146 scopus 로고
    • A nonlinear boundary value problem arising from competition in the chemostat
    • W.-H. So, P. Waltman, A nonlinear boundary value problem arising from competition in the chemostat, Appl. Math. Comput. 32 (1989) 169-183.
    • (1989) Appl. Math. Comput. , vol.32 , pp. 169-183
    • So, W.-H.1    Waltman, P.2
  • 13
    • 0001110664 scopus 로고
    • Stability of steady-state solutions of the competition model in the chemostat
    • Wu J.H., Stability of steady-state solutions of the competition model in the chemostat, Systems Sci. Math. Sci. 7 (1994) 256-260.
    • (1994) Systems Sci. Math. Sci. , vol.7 , pp. 256-260
    • Wu, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.