  A model of a strongly correlated electron liquid based on the fermion
condensation (FC) is applied to the consideration of high temperature
superconductors in its superconducting and normal states. Within our model the
appearance of FC presents a boundary, separating the region of strongly
interacting electron liquid from the region of strongly correlated electron
liquid. We show that at temperatures $T<T_c$ the quasiparticle dispersion in
systems with FC can be presented by two straight lines, characterized by
effective masses $M^*_{FC}$ and $M^*_L$, respectively, and intersecting near
the binding energy which is of the order of the superconducting gap. This same
picture persists in the normal state being modified only by the presence of the
quasiparticle width. We argue that this strong change of the quasiparticle
dispersion can be enhanced in underdoped samples due to strengthening the FC
influence. The single particle excitation width and lineshape are also studied.
