**G****lobal attractivity in concave or sublinear monotone infinite delay differential equations****,
**

with Rafael Obaya and Ana M. Sanz,

The dynamical behavior of the trajectories
defined by a recurrent family of monotone

functional
differential equations with infinite delay and concave or sublinear
nonlinearities is

studied. Different
sceneries which require the existence of a lower solution and of a bounded trajectory

ordered in an
appropriate way are analyzed: the existence of a globally asymptotically stable

minimal set given by a
1-cover of the base flow is proved. These results are applied to the

description of
the long term dynamics of a nonautonomous model
representing a stage-structured

population
growth without irreducibility assumptions on the coefficient matrices.