| 脉冲周期种群动力系统的正周期解 |
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| 引用本文： | 方希宁,滕志东. 脉冲周期种群动力系统的正周期解[J]. 新疆大学学报(理工版), 2009, 26(2): 150-154 |
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| 作者姓名： | 方希宁 滕志东 |
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| 作者单位： | 新疆大学数学与系统科学学院,新疆乌鲁木齐830046 |
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| 基金项目： | 本项研究得到了国家自然科学基金（60764003）,教育部重点项目（207130）,自治区高校科研计划创新团队项目（XJEDu2007G01）和重点项目（XJEDU2006105）的资助. |
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| 摘 要： | 使用Poincare映射和Horn不动点定理对具有脉冲的周期种群生态系统进行研究，得到了脉冲周期种群系统的正周期解存在性，从而为进一步从理论上研究脉冲周期种群动力系统打下基础．
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| 关 键 词： | 脉冲种群动力系统 正周期解 Horn不动点定理 一致持续生存 Poincare映射 |
The Positive Periodic Solutions to Periodic Population Dynamical Systems with Impulse |
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| FANG Xining,TENG Zhi-dong. The Positive Periodic Solutions to Periodic Population Dynamical Systems with Impulse[J]. Journal of Xinjiang University(Science & Engineering), 2009, 26(2): 150-154 |
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| Authors: | FANG Xining TENG Zhi-dong |
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| Affiliation: | (College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, China) |
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| Abstract: | In this paper, the periodic impulsive population system is considered. By using Poincare＇s map and Horn＇s fixed point theorem, the existence of positive periodic solutions to this system are obtained, which is also the theoretic foundation for further study of the periodic impulsive population dynamic system. |
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| Keywords: | Population dynamical system Positive periodic solution Horn＇s fixed point theorem Uniform persistence Poincare＇s map |
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