Parasites sometimes expand their host range by acquiring a new host species. After a host change event, the selective regime acting on a given parasite gene may change as a result of host-specific adaptive alterations of protein functionality or host-specific immune-mediated selection. We present a codon-based model that attempts to include these effects by allowing the position-specific substitution process to change in conjunction with a host change event. Following maximum-likelihood parameter estimation, we employ an empirical Bayesian procedure to identify candidate sites potentially involved in host-specific adaptation. We discuss the applicability of the model to the more general problem of ascertaining whether the selective regime differs in two groups of related organisms. The utility of the model is illustrated on a data set of nucleoprotein sequences from the influenza A virus obtained from avian and human hosts.