This paper presents a bioeconomic model of a commercial fishery facing biological invasion by an alien species acting as a space competitor for the native species. The model is illustrated in a case study of the common scallop fishery of the Bay of St-Brieuc (France), where biological invasion by a slipper-limpet (Crepidula fornicata) is now addressed by a control program. First we present the model, which combines the dynamics of the two competing stocks. We then use the model to analyze the equilibrium of the fishery under various assumptions concerning invasive species control, and to assess the social cost of the invasion. Finally we propose a set of dynamic simulations concerning the ongoing program, emphasizing the influence of its starting date on its overall economic results.