Translator Disclaimer
March 2002 Global bifurcation phenomena of standing pulse solutions for three-component systems with competition and diffusion
Hideo Ikeda
Hiroshima Math. J. 32(1): 87-124 (March 2002). DOI: 10.32917/hmj/1151007644

Abstract

Standing pulse solutions of three-component systems with competition and diffusion are considered. Under the assumption that travelling front and back solutions with the same zero velocity coexist, it is shown that standing pulse solutions bifurcate globally from these travelling front and back solutions. The direction of bifurcation and stability properties of bifurcated solutions are also shown.

Citation

Download Citation

Hideo Ikeda. "Global bifurcation phenomena of standing pulse solutions for three-component systems with competition and diffusion." Hiroshima Math. J. 32 (1) 87 - 124, March 2002. https://doi.org/10.32917/hmj/1151007644

Information

Published: March 2002
First available in Project Euclid: 22 June 2006

zbMATH: 1009.35007
MathSciNet: MR1892671
Digital Object Identifier: 10.32917/hmj/1151007644

Subjects:
Primary: 35K57
Secondary: 35B25, 35B32, 37L10, 37N25, 92D40

Rights: Copyright © 2002 Hiroshima University, Mathematics Program

JOURNAL ARTICLE
38 PAGES


SHARE
Vol.32 • No. 1 • March 2002
Back to Top