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

with Rafael Obaya and Ana M.
Sanz,

*J.
Differential Equations ***246** (**8**) (2009), 3332-3360.

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.