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.
"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