Two competing species, denoted B and C, currently inhabit a common hab
itat patch. Left alone. B can be expected to exclude C from the patch
over time. An exotic species A is introduced into the patch. A compete
s with both B and C. Absent B, A can also be expected to exclude C fro
m the patch over time, whereas absent C, A and B can be expected to co
exist. Whether or not the introduction of A into the habitat patch mak
es for the long-term coexistence of all three species is examined in t
his article via reaction-diffusion models. It is shown that such an ou
tcome depends on the precise qualitative nature of the pair wise compe
titive interactions. In particular, long-term coexistence of all three
species cannot be expected in the case of Lotka-Volterra models but c
an be expected for suitable modifications of such models.