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Volumn 13, Issue 2, 1996, Pages 343-349

Stability of monotone travelling waves for competition-diffusion equations

Author keywords

Competition diffusion system; Stability; Travelling wave

Indexed keywords


EID: 0011465192     PISSN: 09167005     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03167252     Document Type: Article
Times cited : (59)

References (11)
  • 1
    • 0005235678 scopus 로고
    • A topological invariant arising in the stability analysis of travelling waves
    • J. Alexander, R. Gardner and C. Jones, 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
    • 0002538743 scopus 로고
    • Invariant manifolds for semilinear partial differential equations
    • (eds. U. Kirchgraber et al.), Wiley Chichester
    • P. W. Bates and C. K. R. T. Jones, Invariant manifolds for semilinear partial differential equations. Dynamics Reported Vol. 2 (eds. U. Kirchgraber et al.), Wiley Chichester, 1989, 1-38.
    • (1989) Dynamics Reported , vol.2 , pp. 1-38
    • Bates, P.W.1    Jones, C.K.R.T.2
  • 4
    • 0010965372 scopus 로고
    • Über das Spektrum positiver Generatoren
    • R. Derndinger, Über das Spektrum positiver Generatoren. Math. Z., 172 (1980), 281-293.
    • (1980) Math. Z. , vol.172 , pp. 281-293
    • Derndinger, R.1
  • 5
    • 0346415941 scopus 로고
    • Existence and stability of travelling wave solutions of competition models: A degree theoretic approach
    • R. A. Gardner, Existence and stability of travelling wave solutions of competition models: A degree theoretic approach. J. Differential Equations, 44 (1982), 343-364.
    • (1982) J. Differential Equations , vol.44 , pp. 343-364
    • Gardner, R.A.1
  • 6
    • 84966244631 scopus 로고
    • Stability of travelling wave solutions of diffusive predator-prey systems
    • R. Gardner and C. K. R. T. Jones, Stability of travelling wave solutions of diffusive predator-prey systems. Trans. Amer. Math. Soc., 327 (1991), 465-524.
    • (1991) Trans. Amer. Math. Soc. , vol.327 , pp. 465-524
    • Gardner, R.1    Jones, C.K.R.T.2
  • 7
    • 0003304963 scopus 로고
    • Geometric Theory of Semilinear Parabolic Equations
    • Springer-Verlag, New York-Berlin-Tokyo
    • D. Henry, Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Math. 840, Springer-Verlag, New York-Berlin-Tokyo, 1981.
    • (1981) Lecture Notes in Math. , vol.840
    • Henry, D.1
  • 8
    • 0041335177 scopus 로고
    • Singular perturbation analysis of travelling waves of diffusive Lotka-Volterra competition models
    • (Paris, 1988) Baltzer, Basel
    • Y. Hosono, Singular perturbation analysis of travelling waves of diffusive Lotka-Volterra competition models. Numerical and Applied Mathematics Part II (Paris, 1988) Baltzer, Basel, 1989, 687-692.
    • (1989) Numerical and Applied Mathematics Part II , pp. 687-692
    • Hosono, Y.1
  • 10
    • 84972539066 scopus 로고
    • Existence of non-constant stable equilibria in competition-diffusion equations
    • Y. Kan-on and E. Yanagida, 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
  • 11
    • 84972564231 scopus 로고
    • A 3-component system of competition and diffusion
    • M. Mimura and P. C. Fife, 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.