| 一类捕食-食饵系统正周期解的存在性(英文) |
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| 引用本文： | 刘兴波,何六荣.一类捕食-食饵系统正周期解的存在性(英文)[J].华东师范大学学报(自然科学版),2010,2010(6):178-185,198. |
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| 作者姓名： | 刘兴波 何六荣 |
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| 作者单位： | 华东师范大学,数学系,上海,200241 |
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| 基金项目： | 国家自然科学基金青年基金，上海市重点学科建设项目 |
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| 摘 要： | 讨论了具有时滞的非自治三种群捕食-食饵扩散系统.利用重合度理论,得到了正周期解存在的一些充分条件.
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| 关 键 词： | 捕食-食饵系统 正周期解 重合度 捕食-食饵系统 正周期解 重合度 |
| 收稿时间： | 2009-12-1 |
| 修稿时间： | 2010-3-1 |
Existence of positive periodic solution for a kind of predator-prey systems |
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| LIU Xing-bo,HE Liu-rong.Existence of positive periodic solution for a kind of predator-prey systems[J].Journal of East China Normal University(Natural Science),2010,2010(6):178-185,198. |
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| Authors: | LIU Xing-bo HE Liu-rong |
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| Institution: | Department of Mathematics, East China Normal University, Shanghai 200241, China |
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| Abstract: | A non-autonomous predator--prey diffusive system of three species with delay was analyzed. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, some sufficient conditions for the existence of positive periodic solution were established for the system. |
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| Keywords: | predator-prey system positive periodic solution coincidence degree |
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