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.
@article{1151007644,
author = {Ikeda, Hideo},
title = {Global bifurcation phenomena of standing pulse solutions for three-component systems with competition and diffusion},
journal = {Hiroshima Math. J.},
volume = {32},
number = {3},
year = {2002},
pages = { 87-124},
language = {en},
url = {http://dml.mathdoc.fr/item/1151007644}
}
Ikeda, Hideo. Global bifurcation phenomena of standing pulse solutions for three-component systems with competition and diffusion. Hiroshima Math. J., Tome 32 (2002) no. 3, pp. 87-124. http://gdmltest.u-ga.fr/item/1151007644/