On interacting populations that disperse to avoid crowding: The effect of a sedentary colony

An analysis is given of a model for two interacting species, one mobile and the other sedentary, in which the mobile one disperses to avoid crowding. The spatial distribution of the mobile species over the habitat, as it evolves with time, is studied. In particular it is shown that a colony of the sedentary species can form an effective barrier against the spreading mobile species, and prevent it from entering certain parts of the habitat.