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中文摘要：
研究了来源于水生种群植化相克的模型，提出了带时滞的半线性抛物系统．用上下解方法讨论了抛物方程组周期解存在性的原理，利用特征函数构造所提出抛物系统的上解，给出了正周期解存在的充分条件．
英文摘要：
In this paper, it is considered an ecology model that arises in plankton allelopathic species. It is proposed a delay semi-linear parabolic system. The existence of periodic solution in parabolic system is discussed by the method of upper and lower solution. The upper solution of proposed parabolic system is constructed by the method of eigenfunction. Some sufficient conditions for the existence of positive periodic solution are given.
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