| 具有线性脉冲的周期捕食系统的持久性 |
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| 引用本文： | 陈丹,许宗文,张树文.具有线性脉冲的周期捕食系统的持久性[J].纯粹数学与应用数学,2013(2):208-213. |
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| 作者姓名： | 陈丹 许宗文 张树文 |
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| 作者单位： | [1]闽南理工学院信管系,福建石狮362700 [2]集美大学理学院,福建厦门361021 |
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| 基金项目： | 福建省教育厅科技项目（JB12252）. |
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| 摘 要： | 研究具有HollingIV功能性反应和脉冲的周期捕食食饵系统．找到了影响该系统动力学行为的阈值Ro．证明了当Ro〈1时，该系统的食饵灭绝周期解是局部渐近稳定的；当R0〉1时，该系统的食饵灭绝周期解变得不稳定且食饵将一致持久．
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| 关 键 词： | 捕食食饵系统 脉冲 Holling IV功能性反应 持续生存 局部渐近稳定 |
Permanence in a periodic predator-prey system with linear impulsive perturbations |
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| Chen Dan,XU Zongwen,Zhang Shuwen.Permanence in a periodic predator-prey system with linear impulsive perturbations[J].Pure and Applied Mathematics,2013(2):208-213. |
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| Authors: | Chen Dan XU Zongwen Zhang Shuwen |
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| Institution: | 1. Information Management Department, Minnan University of Science and Technology, Shishi 362700, China; 2. College of Science, Jimei University, Xiamen 361021, China) |
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| Abstract: | In this paper, a non-autonomous periodic predator-prey system with Holling IV functional response and impulsive perturbation is considered. The threshold value R0 which determines the dynamical behavior of the model is provided. Furthermore, we prove that the prey-eradication periodic solution is locally asymptotically stable provided R0 〈 1, the prey-eradication periodic solution is unstable and the pest will be uniform persistent when Ro 〉 1. |
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| Keywords: | predator-prey system impulsive perturbation Holling IV functional response permanence locally asymptotically stable |
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