Dr. Hart et Rh. Gardner, A SPATIAL MODEL FOR THE SPREAD OF INVADING ORGANISMS SUBJECT TO COMPETITION, Journal of mathematical biology, 35(8), 1997, pp. 935-948
A spatially explicit integrodifference equation model is studied for t
he spread of an invading organism against an established competitor. P
rovided the invader is initially confined to a bounded region. the inv
asion spreads asymptotically as a travelling wave whose speed depends
on the strength of the competitive interaction and on the dispersal ch
aracteristics of the invader. Even an inferior, but established, compe
titor can significantly reduce the invasion speed. The invasion speed
is also influenced by the exact shape of the dispersal kernel (especia
lly the thickness of the tail) as well as the mean dispersal distance
for each generation.