We generalize the time-variable dark energy scalar field Φ mo del (ΦCDM) to nonflat space. We show that even in the space-curvature-dominated epoch the s calar field solution is a time-dependent fixed point or attractor, with scalar field energy density tha t grows relative to the energy density in spatial curvature. This is the first example of a physicall y consistent and complete model of dynamical dark energy in a nonflat geometry
