Japan Journal of Industrial and Applied Mathematics

, 13:343

Stability of monotone travelling waves for competition-diffusion equations

  • Yukio Kan-On
  • Qing Fang

DOI: 10.1007/BF03167252

Cite this article as:
Kan-On, Y. & Fang, Q. Japan J. Indust. Appl. Math. (1996) 13: 343. doi:10.1007/BF03167252


We consider the Lotka-Volterra competition model with diffusion inR, and establish a theorem on the asymptotic stability of monotone travelling waves relative to the space of bounded uniformly continuous functions with the supremum norm. In consideration of the result of Alexander et al. [1] and Derndinger [4], we shall arrive at a study of the non-negative eigenvalues of the linearized operator around the travelling wave.

Key words

competition-diffusion systemtravelling wavestability

Copyright information

© JJIAM Publishing Committee 1996

Authors and Affiliations

  • Yukio Kan-On
    • 1
  • Qing Fang
    • 2
  1. 1.Department of Mathematics, Faculty of EducationEhime UniversityMatsuyamaJapan
  2. 2.Department of Mathematics, Faculty of ScienceEhime UniversityMatsuyamaJapan