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Volumn 208, Issue 1, 1997, Pages 158-170

Instability of stationary solutions for a Lotka-Volterra competition model with diffusion

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; PROBLEM SOLVING; STABILITY; THEOREM PROVING;

EID: 0031106934     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1997.5309     Document Type: Article
Times cited : (12)

References (10)
  • 1
    • 0005235678 scopus 로고
    • A topological invariant arising in the stability analysis of travelling waves
    • Alexander J., Gardner R., Jones C. A topological invariant arising in the stability analysis of travelling waves. J. Reine Angew. Math. 410:1990;167-212.
    • (1990) J. Reine Angew. Math. , vol.410 , pp. 167-212
    • Alexander, J.1    Gardner, R.2    Jones, C.3
  • 2
    • 38249010550 scopus 로고
    • On the uniqueness of the positive steady state for Lotka-Volterra model with diffusion
    • Ali S. W., Cosner C. On the uniqueness of the positive steady state for Lotka-Volterra model with diffusion. J. Math. Anal. Appl. 168:1992;329-341.
    • (1992) J. Math. Anal. Appl. , vol.168 , pp. 329-341
    • Ali, S.W.1    Cosner, C.2
  • 3
    • 0002538743 scopus 로고
    • Invariant manifolds for semilinear partial differential equations
    • U. Kirchgraber. Chichester: Wiley
    • Bates P. W., Jones C. K. R. T. Invariant manifolds for semilinear partial differential equations. Kirchgraber U. Dynamics Reported. 1989;1-38 Wiley, Chichester.
    • (1989) Dynamics Reported , pp. 1-38
    • Bates, P.W.1    Jones, C.K.R.T.2
  • 6
    • 0021618680 scopus 로고
    • Stable coexistence states in the Volterra-Lotka competition model with diffusion
    • Cosner C., Lazer A. C. Stable coexistence states in the Volterra-Lotka competition model with diffusion. SIAM J. Appl. Math. 44:1984;1112-1132.
    • (1984) SIAM J. Appl. Math. , vol.44 , pp. 1112-1132
    • Cosner, C.1    Lazer, A.C.2
  • 7
    • 0010965372 scopus 로고
    • Über das Spectrum positiver Generatoren
    • Derndinger R. Über das Spectrum positiver Generatoren. Math. Z. 172:1980;281-293.
    • (1980) Math. Z. , vol.172 , pp. 281-293
    • Derndinger, R.1
  • 8
    • 0000599847 scopus 로고    scopus 로고
    • Existence of standing waves for competition-diffusion equations
    • Kan-on Y. Existence of standing waves for competition-diffusion equations. Japan J. Indust. Appl. Math. 13:1996;117-133.
    • (1996) Japan J. Indust. Appl. Math. , vol.13 , pp. 117-133
    • Kan-on, Y.1
  • 9
    • 84972539066 scopus 로고
    • Existence of non-constant stable equilibria in competition-diffusion equations
    • Kan-on Y., Yanagida E. Existence of non-constant stable equilibria in competition-diffusion equations. Hiroshima Math. J. 23:1993;193-221.
    • (1993) Hiroshima Math. J. , vol.23 , pp. 193-221
    • Kan-on, Y.1    Yanagida, E.2
  • 10
    • 84972564231 scopus 로고
    • A 3-component system of competition and diffusion
    • Mimura M., Fife P. C. A 3-component system of competition and diffusion. Hiroshima Math. J. 16:1986;189-207.
    • (1986) Hiroshima Math. J. , vol.16 , pp. 189-207
    • Mimura, M.1    Fife, P.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.