| 一类含功能反应与脉冲的时滞比率依赖捕食-食饵模型的多重正周期解 |
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| 引用本文： | 邵远夫,戴斌祥.一类含功能反应与脉冲的时滞比率依赖捕食-食饵模型的多重正周期解[J].应用数学,2011,24(1). |
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| 作者姓名： | 邵远夫 戴斌祥 |
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| 作者单位： | 1. 桂林理工大学理学院,广西,桂林,541004;中南大学数学科学与计算技术学院,湖南,长沙,410075
2. 桂林理工大学理学院,广西,桂林,541004 |
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| 基金项目： | Supported by National Natural Science Foundation of China (10971229); Doctoral Foundation of Guilin University of Technology (2010); National Research Program of China(2007CB714107) |
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| 摘 要： | 运用Mawhin连续定理,讨论得到了一类含非单调功能反应与脉冲的时滞比率依赖捕食-食饵模型存在多重正周期解的充分条件,所得结果推广并改进了一些已有结果.
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| 关 键 词： | 连续定理 正周期解 比率依赖 非单调功能反应 脉冲 |
Multiple Positive Periodic Solutions of a Delayed Ratio-dependent Predator-prey Model with Functional Response and Impulse |
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| SHAO Yuanfu,DAI Binxiang.Multiple Positive Periodic Solutions of a Delayed Ratio-dependent Predator-prey Model with Functional Response and Impulse[J].Mathematica Applicata,2011,24(1). |
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| Authors: | SHAO Yuanfu DAI Binxiang |
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| Institution: | SHAO Yuanfu1,2,DAI Binxiang2(1.College of Science,Guilin University of Technology,Guilin 541004,China,2.School of Mathematical Science and Computer Technology,Central South University,Changsha 410075,China) |
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| Abstract: | By using Mawhin continuation theorem,we establish the sufficient conditions ensuring the existence of multiple positive periodic solutions of a delayed ratio-dependent predator-prey model with nonmonotone functional response and impulse.Particularly,our results generalize and improve some previously known criteria. |
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| Keywords: | Continuation theorem Positive periodic solutions Ratio-dependent Nonmonotone functional response Impulse |
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