| Gause比率依赖型捕食者-食饵系统的周期解 |
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| 引用本文： | 丁孝全,程述汉.Gause比率依赖型捕食者-食饵系统的周期解[J].生物数学学报,2006,21(2):184-190. |
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| 作者姓名： | 丁孝全 程述汉 |
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| 作者单位： | 山东农业大学,信息科学与工程学院,山东,泰安,271018 |
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| 基金项目： | 山东省自然科学基金(Y2002D14) |
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| 摘 要： | 考虑一类Gause比率依赖型捕食者-食饵系统,利用重合度理论中的延拓定理, 研究了全局周期解的存在性,得到保证周期解存在的充分条件．
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| 关 键 词： | 捕食者-食饵系统 比率依赖 周期解 重合度 |
| 文章编号： | 1001-9626（2006）02-0184-07 |
| 收稿时间： | 2004-05-21 |
| 修稿时间： | 2004年5月21日 |
Positive Periodic Solutions of a Gause-Type Radio-Dependent Predator-Prey System |
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| DING Xiao-quan,CHENG Shu-han.Positive Periodic Solutions of a Gause-Type Radio-Dependent Predator-Prey System[J].Journal of Biomathematics,2006,21(2):184-190. |
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| Authors: | DING Xiao-quan CHENG Shu-han |
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| Institution: | Information Science and Engineering College, Shandong Agricultural University Taian Shandong 271018 China |
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| Abstract: | A Gause-type ratio-dependent predator-prey periodic system with time delays is investigated in this paper. By using a continuation theorem based on coincidence degree theory, we study the global existence of positive periodic solution. A set of easily verifiable sufficient conditions are obtained. |
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| Keywords: | Predator-prey system Ratio-dependent Periodic solution Coincidence degree |
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