Volume 10, Number 1, Spring 2002
DO INVADING ORGANISMS DO THE WAVE?
Abstract. Biological invasions often produce dramatic
ecological and economic consequences. Thus, there is keen interest
in models that correctly predict rates of spread of invading
organisms. Traditional reaction-diffusion models that
generate traveling waves of invasion often underestimate true
rates of invasion. In contrast, integrodifference equations give
more reasonable estimates and resolve important paradoxes in
the theory of invasions. Here, I discuss the formulation and
analysis of integrodifference equations and summarize some recent
results on rates of spread of invading organisms.