Copyright © 2010 Jiebao Sun et al. This is an open access article distributed under the
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We consider a degenerate parabolic equation with logistic periodic sources.
First, we establish the existence of nontrivial nonnegative periodic solutions by monotonicity
method. Then by using Moser iterative technique and the method of contradiction, we
establish the boundedness estimate of nonnegative periodic solutions, by which we show that
the attraction of nontrivial nonnegative periodic solutions, that is, all non-trivial nonnegative
solutions of the initial boundary value problem, will lie between a minimal and a maximal
nonnegative nontrivial periodic solutions, as time tends to infinity.