  We propose a stochastic model describing a process of awareness, evaluation
and decision-making by agents on the d-dimensional integer lattice. Each agent
may be in any of the three states belonging to the set {0, 1, 2}. In this model
0 stands for ignorants, 1 for aware and 2 for adopters. Aware and adopters
inform its nearest ignorant neighbors about a new product innovation at rate
lambda. At rate alpha an agent in aware state becomes an adopter due to the
influence of adopters neighbors. Finally, aware and adopters forget the
information about the new product, thus becoming ignorant, at rate one. Our
purpose is to analyze the influence of the parameters on the qualitative
behavior of the process. We obtain sufficient conditions under which the
innovation diffusion (and adoption) either becomes extinct or propagates
through the population with positive probability.
