| 一类带时滞竞争模型的周期解 |
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| 引用本文： | 田灿荣.一类带时滞竞争模型的周期解[J].生物数学学报,2007,22(3):431-440. |
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| 作者姓名： | 田灿荣 |
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| 作者单位： | 扬州大学,数学科学学院,江苏,扬州,225002;盐城工学院,基础部,江苏,盐城,224003 |
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| 基金项目： | 国家自然科学基金;江苏省自然科学基金 |
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| 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．
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| 关 键 词： | 上下解 周期解 特征函数 |
| 文章编号： | 1001-9626（2007）03-0431-10 |
| 收稿时间： | 2005-12-05 |
| 修稿时间： | 2005年12月5日 |
Periodic Solutions of a Delay Competitive Model |
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| TIAN Can-rong.Periodic Solutions of a Delay Competitive Model[J].Journal of Biomathematics,2007,22(3):431-440. |
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| Authors: | TIAN Can-rong |
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| Institution: | 1 School of Mathematical Sciences, Yangzhou University, Yangzhou Jiangsu 225002 China; Basic Science Department, Yancheng Institute of Technology, Yancheng Jiangsu 224003 China |
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| Abstract: | 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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| Keywords: | Upper and lower solution Periodic solution Eigenfunction |
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