| 一类带有脉冲的中立时滞型微分方程的周期解 |
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| 引用本文： | 胡密,夏永辉.一类带有脉冲的中立时滞型微分方程的周期解[J].上海师范大学学报(自然科学版),2017,46(3):343-357. |
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| 作者姓名： | 胡密 夏永辉 |
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| 作者单位： | 华侨大学 数学与科学学院, 泉州 362021,华侨大学 数学与科学学院, 泉州 362021 |
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| 基金项目： | This research was supported by the National Natural Science Foundation of China under Grant (11671176, 11271333);Natural Science Foundation of Zhejiang Province under Grant (Y15A010022);the Scientific Research Funds of Huaqiao University and China Postdoctoral Science Foundation (2014M562320) |
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| 摘 要： | 主要考虑了一类带有脉冲的中立时滞型微分方程.研究了一类带有非单调函数响应的脉冲捕食模型，得出该模型不存在周期解和存在至少一个或者两个全局周期解的充分条件.该方法是基于Mawhin重合度和对未知解采用新颖的先验估计技术.实例表明此方法是可行的也是有效的.
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| 关 键 词： | 捕食模型 周期解 中立型 脉冲 |
| 收稿时间： | 2017/3/27 0:00:00 |
Periodic solutions of a neutral impulsive differential equation |
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| Hu Mi and Xia Yonghui.Periodic solutions of a neutral impulsive differential equation[J].Journal of Shanghai Normal University(Natural Sciences),2017,46(3):343-357. |
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| Authors: | Hu Mi and Xia Yonghui |
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| Institution: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China and School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | In this paper, we consider a neutral impulsive differential equation. An impulsive predatorprey model with non-monotonic functional response is investigated. Some novel sufficient conditions are obtained for the nonexistence of periodic solutions and the global existence of at least one or two positive periodic solutions. Our method is based on Mawhin''s coincidence degree and novel estimation techniques for the priori bounds of unknown solutions. An application is presented to illustrate the feasibility and effectiveness of our main results. |
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| Keywords: | predator-prey model periodic solution neutral impulsive |
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