  The extinction of the contact process in lattice models with quenched
disorder is analysed in the limit of small density of infected sites. It is
shown that the problem in such a regime can be mapped to the quantum-mechanical
one characterized by the Anderson Hamiltonian for an electron in a random
lattice. It is demonstrated both analytically (self-consistent mean-field) and
numerically (by direct diagonalization of the Hamiltonian and by means of
cellular automata simulations) that disorder enhances the contact process given
the mean values of random parameters are not influenced by disorder.
