We consider a single-species model which is composed of several patches con
nected by linear migration rates and having logistic growth with a threshol
d. We show the existence of an aggregating mechanism that allows the surviv
al of a species which is in danger of extinction due to its low population
density. Numerical experiments illustrate these results. (C) 2000 Elsevier
Science Inc. All rights reserved. MSC: 92D25; 34A34.