Minimal sets in monotone and concave skew-product semiflows
II:
two-dimensional systems of differential equations,
with Rafael Obaya and Ana M.
Sanz,
J.
Differential Equations 252 (5)
(2012), 3575-3607.
Recurrent nonautonomous
two-dimensional systems of differential equations of
ordinary, finite-delay and
reaction-diffusion types given by cooperative and
concave vector fields define monotone
and concave skew-product semiflows,
whose dynamics is analyzed
in this paper. A complete description of all the
minimal sets in a very interesting
dynamical situation
is provided, and some criteria to
determine its possible existence
and the area on which they lie are
given. Suitable examples prove the optimality
of the results.
