Existence of standing waves for competition-diffusion equations

Japan Journal of Industrial and Applied Mathematics

Volumn 13, Issue 1, 1996, Pages 117-133

  Kan On, Yukio ^a  

^a EHIME UNIVERSITY   (Japan)

Author keywords

Bifurcation of homoclinic orbit; Comparison principle; Exponential dichotomy

Indexed keywords

EID: 0000599847     PISSN: 09167005     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF03167302     Document Type: Article

References (11)

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3. R. A. Gardner, Existence and stability of travelling wave solutions of competition model: A degree theoretic approach. J. Differential Equations, 44 (1982), 343-364.
4. J. M. Greenberg, Stability of equilibrium solutions for the Fisher equation. Quart. Appl. Math., 39 (1981), 239-247.
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6. Y. Kan-on, Parameter dependence of propagation speed of travelling waves for competition-diffusion equations. Preprint.
7. Y. Kan-on, Instability of stationary solutions for the Lotka-Volterra competition model with diffusion. In preparation.
8. Y. Kan-on and Q. Fang, Stability of monotone travelling waves for competition-diffusion equations. In preparation.
9. Y. Kan-on and E. Yanagida, Existence of non-constant stable equilibria in competition-diffusion equations. Hiroshima Math. J., 23 (1993), 193-221.
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11. M. Mimura and P. O. Fife, A 3-component system of competition and diffusion. Hiroshima Math. J., 16 (1986), 189-207.