| 具有状态脉冲的两种群竞争Lotka-Volterra系统的周期解 |
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| 引用本文： | 韩 静,赵建东.具有状态脉冲的两种群竞争Lotka-Volterra系统的周期解[J].鲁东大学学报,2014(2):108-113,120. |
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| 作者姓名： | 韩 静 赵建东 |
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| 作者单位： | 鲁东大学数学与统计科学学院,山东烟台264039 |
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| 摘 要： | 研究了一类具有状态脉冲的两种群竞争Lotka-Volterra系统.利用后继函数和类Poincaré准则,得到了该系统阶1周期解存在及其渐近稳定的充分条件,并用数值模拟验证了主要结论.
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| 关 键 词： | Lotka-Volterra系统 状态脉冲 后继函数 阶1周期解 |
The Periodic Solutions of Two Species Competitive Lotka-Volterra System with State Dependent Impulsive Effects |
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| HAN Jing,ZHAO Jian-dong.The Periodic Solutions of Two Species Competitive Lotka-Volterra System with State Dependent Impulsive Effects[J].Ludong University Journal (Natural Science Edition),2014(2):108-113,120. |
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| Authors: | HAN Jing ZHAO Jian-dong |
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| Institution: | ( School of Mathematics and Statistics Science, Ludong University, Yantai 264039, China) |
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| Abstract: | A two species competitive Lotka-Volterra system with state dependent impulsive effects is investigated. Using the successor function method and analogue of Poincaré criterion,sufficient conditions for the existence and the asymptotical stability of the order-one periodic solutions are obtained. Moreover,numerical simulations are given to illustrate our main results. |
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| Keywords: | Lotka-Volterra system state dependent pulse successor function order-one periodic solution |
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