In this paper, we consider a diffusional food-limited population model inco
rporating a discrete time-delay. For the case when the delay is small, we s
how that monotone travelling front solutions exist connecting the two unifo
rm steady states of the model. The effect of a larger delay is studied nume
rically, suggesting that in this case travelling fronts still exist but los
e their monotonicity. (C) 2001 Elsevier Science Ltd. All rights reserved.