| 一类具功能反应函数的食饵-捕食者系统正周期解的存在性及全局吸引性 |
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| 引用本文： | 郑冬梅.一类具功能反应函数的食饵-捕食者系统正周期解的存在性及全局吸引性[J].徐州师范大学学报(自然科学版),2008,26(3):29-33. |
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| 作者姓名： | 郑冬梅 |
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| 作者单位： | 安徽师范大学,数学计算机科学学院,安徽,芜湖,241000 |
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| 基金项目： | Fund item： Research supported by the National Natural Science Foundation of China（10371006） and the Natural Science Foundation of Anhui Provence（2005kj031ZD;050460103） |
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| 摘 要： | 研究一类具功能反应函数的食饵-捕食者系统正周期解的存在性，并通过构造适当的李雅普诺利夫函数，得到上述系统正周期解的全局吸引性．
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| 关 键 词： | 正周期解 全局吸引性 重合度 |
Existence and Global Attractivity of Positive Periodic Solution for a Prey-Predator System with Functional Response |
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| ZHENG Dong-mei.Existence and Global Attractivity of Positive Periodic Solution for a Prey-Predator System with Functional Response[J].Journal of Xuzhou Normal University(Natural Science Edition),2008,26(3):29-33. |
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| Authors: | ZHENG Dong-mei |
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| Institution: | ZHENG Dong-mei (College of Mathematics and Computer Science, Anhui Normal University, Wuhu, Anhui, 241000, China) |
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| Abstract: | The existence of positive periodic solution for a prey-predator system is established by using the coincidence degree theory. Furthermore, by constructing suitable Lyapunov function, the global attractivity of positive periodic solution is obtained. |
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| Keywords: | positive periodic solution global attractivity coincidence degree |
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