| 周期Lotka-Volterra系统周期解的存在性 |
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| 引用本文： | 邱志鹏,俞军,邹云. 周期Lotka-Volterra系统周期解的存在性[J]. 工程数学学报, 2004, 21(6): 895-899 |
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| 作者姓名： | 邱志鹏 俞军 邹云 |
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| 作者单位： | 南京理工大学应用数学系,江苏,南京,210094;中国科学技术大学数学系,安徽,合肥,230026;南京理工大学应用数学系,江苏,南京,210094 |
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| 摘 要： | 主要研究了一类竞争Lotka-Volterra系统。该系统具有周期系数和周期时滞，利用Mawhin重合度理论我们得到了该系统周期解存在性的充分条件，推广了相应的结果。
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| 关 键 词： | 全局存在性 周期解 竞争系统 时滞 |
| 文章编号： | 1005-3085(2004)06-0895-05 |
| 修稿时间： | 2002-05-10 |
The Global Existence of Periodic Solution of a Competition Lotka-Volterra Model |
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| QIU Zhi-peng,YU Jun,ZOU Yun. The Global Existence of Periodic Solution of a Competition Lotka-Volterra Model[J]. Chinese Journal of Engineering Mathematics, 2004, 21(6): 895-899 |
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| Authors: | QIU Zhi-peng YU Jun ZOU Yun |
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| Affiliation: | QIU Zhi-peng1,YU Jun1,ZOU Yun1,2 |
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| Abstract: | In this paper, a competition Lotka-Volterra model is studied. The model incorporates periodic coe?cients and time delays. Su?cient conditions are determined that guarantee the existence of a positive periodic solution. Some earlier results are extended and improved. |
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| Keywords: | global existence periodic solution competition system time delays |
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