| 具有时滞的非自治捕食系统的动力学行为分析 |
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| 引用本文： | 梁桂珍,王守印.具有时滞的非自治捕食系统的动力学行为分析[J].新乡学院学报(自然科学版),2008(1):9-12. |
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| 作者姓名： | 梁桂珍 王守印 |
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| 作者单位： | 新乡学院数学系,河南新乡453003 |
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| 摘 要： | 研究一个具有时滞和HollingⅡ型功能反应的非自治的捕食者一食饵模型，该系统是两个具有竞争关系的捕食种群捕食一个食饵，研究其动力学行为，包括持久性、全局渐近稳定性、周期解的存在唯一性。
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| 关 键 词： | 非自治捕食系统 时滞 持久性 全局渐近稳定性 周期解 |
A Dynamic Analysis of a Nonautonomous Predator-prey Model with Time Delay |
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| Authors: | LIANG Gui-zhen WANG Shou-yin |
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| Institution: | (Math Department of Xinxiang University, Xinxiang 453003,China) |
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| Abstract: | We construct and investigate a nonautonomous predator-prey model with continuous time delay and HollinglI functional response. The system toox its form by two competing predators that prey on one prey. Under both predators and prey with density dependence, dynamic characters of the system are showed by persistence, global asymptotic stability and existence, uniqueness of periodic solution of the model. |
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| Keywords: | nonautonomous predator-prey system time delay persistence global asymptotic stability periodic solution |
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