  The Poincar\'e-Alexander Theorem states that holomorphic mappings defined on
an open subset of the unit ball of $C^n$ may, under certain conditions, be
extended to a biholomorphism of the unit ball. In a complex manifold, every
strongly pseudoconvex homogeneous domain is biholomorphic to the unit ball. In
an almost complex manifold, the unit ball is not the only strongly pseudoconvex
homogeneous domain. A strongly pseudoconvex homogeneous domain is biholomorphic
to a model domain. The aim of this paper is to extend this theorem to model
domains.
