| 一类具有多时滞捕食－被捕食系统正周期解的存在性 |
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| 引用本文： | 徐文雄,张太雷,徐宗本.一类具有多时滞捕食－被捕食系统正周期解的存在性[J].数学物理学报(A辑),2008,28(1):39-045. |
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| 作者姓名： | 徐文雄 张太雷 徐宗本 |
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| 作者单位： | [1]西安交通大学理学院,西安710049 [2]新疆大学数学与系统科学学院,乌鲁木齐830046 |
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| 基金项目： | 国家自然科学基金
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国家自然科学基金 |
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| 摘 要： | 研究一类具有多时滞Holling II型功能性反应非自治捕食－被捕食系统, 利用重合度理论得到系统全局正周期解存在的充分条件．推广了相关的已有结果．
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| 关 键 词： | 时滞 非自治捕食－被捕食系统 正周期解 重合度 |
| 文章编号： | 1003-3998（2008）01-039-07 |
| 收稿时间： | 2006-08-14 |
| 修稿时间： | 2007-07-27 |
Existence of Positive Periodic Solutions of a Prey-Predator
System with Several Delays |
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Xu Wenxiong,Zhang Tailei,Xu Zongben
.Existence of Positive Periodic Solutions of a Prey-Predator
System with Several Delays[J].Acta Mathematica Scientia,2008,28(1):39-045. |
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| Authors: | Xu Wenxiong Zhang Tailei Xu Zongben
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| Institution: | School of Science, Xi'an Jiaotong University, Xi'an 710049
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046 |
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| Abstract: | A kind of non-autonomous prey-predator system with Holling II response function and several delays is studied. By the coincidence degree theory, the authors construct a set of sufficient conditions to prove the existence of global positive periodic solution. Some known results are improved. |
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| Keywords: | Delay Non-autonomous Prey-predator system Positive periodic solution Coin- cidence degree |
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