| 时滞周期竞争-竞争-互惠模型的解的渐近性 |
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| 引用本文： | 周笠,傅一平.时滞周期竞争-竞争-互惠模型的解的渐近性[J].华中科技大学学报(自然科学版),1998(10). |
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| 作者姓名： | 周笠 傅一平 |
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| 作者单位： | 华中理工大学数学系 |
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| 基金项目： | 国家自然科学基金资助项目（19671033） |
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| 摘 要： | 利用单调方法讨论了一类含时滞及周期系数的反应扩散系统的竞争－竞争－互惠模型．对解的渐近性态作了详尽的分析，并证明了正周期解的存在性．和不含时滞方程的单调方法相比，对含时滞模型采用了一种新的定义上、下解的方法．
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| 关 键 词： | 竞争-竞争-互惠模型 单调方法 周期解 渐近性. |
The Asymptotic Property of Solutions of a Periodic Competitor- Competitor-Mutualist Model with Delay |
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| Zhou Li,Dept. of Mathematics,HUST,Wuhan ,China. Fu Yiping.The Asymptotic Property of Solutions of a Periodic Competitor- Competitor-Mutualist Model with Delay[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1998(10). |
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| Authors: | Zhou Li Dept of Mathematics HUST Wuhan China Fu Yiping |
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| Institution: | Zhou Li,Dept. of Mathematics,HUST,Wuhan 430074,China. Fu Yiping |
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| Abstract: | By using the monotone method, a periodic reaction diffusion system of a competitor-com- petitor-mutualist is investigated. Detailed analysis is given for the asymptotic behavior of solutions, and the positive periodic solution is proven existing. Compared with the monotone method used in the equations without delays, the new definitions of upper and lower solutions are used in the model with time delays. |
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| Keywords: | competitor-competitor-mutualist monotone method periodic solution asymptotic prop- erty |
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