摘要

In this paper, we consider the existence and attraction of positive periodic solution of a competition diffusion system. We first construct a pair of upper and lower solutions, then use the periodic comparison existence theorem to get a pair of T-periodic solutions ((u) over bar, (v) under bar) and ((u) under bar, (v) over bar). Finally we give a sufficient condition of ((u) over bar, (v) under bar) = ((u) under bar, (v) over bar) to answer the open question described by Ahmad and Lazer.

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